[{"_1":2,"_1039":-5,"_1040":-5},"loaderData",{"_3":4,"_48":49,"_1015":1016,"_1017":1018,"_1024":1025},"root",{"_5":-5,"_6":-5,"_7":8,"_13":14,"_15":-5,"_16":17,"_36":37,"_38":39,"_40":39,"_41":-7,"_42":-7,"_43":44,"_45":39,"_46":-7,"_47":-7},"userBooks","user","dehydratedState",{"_9":10,"_11":12},"mutations",[],"queries",[],"visitId","0b49c09b-00f0-412a-aa53-6f39f1261325","visitorId","keys",{"_18":19,"_20":21,"_22":23,"_24":25,"_26":27,"_28":29,"_30":31,"_32":33,"_34":35},"stripeApiKey","pk_live_51ML42XINZ97i1wQxppx4m2cKj10HX3t8DBuMhJzz6iQORAJMoeNMUN8u2FA1O7qzE2h5uGikk9UHTKlG01QZ9Vdo00LsIsHfvE","recaptchaSiteKey","0x4AAAAAAABQSY38sFdvfoGP","visibleReCaptchaSiteKey","0x4AAAAAAABQSu-VQqhj17Mp","googleTagId","G-14C7WFPWJY","tiktokPixelId","CMEHIL3C77UFIL1R5A00","microsoftClarityId","jk48ry10jk","livechatLicenseId","16584726","metaPixelCode","850447020423713","cloudflareAnalytics","307139b4d5d54a9ea0ed32819373afb5","frontendUrl","https://www.gotowiec.pl","isMobileApp",false,"isMobileBrowser","appVersion","appPlatform","showPremiumWidgets",true,"isLoggedIn","sentryTrace","sentryBaggage","routes/$subjectSlug.$bookSlug",{"_50":51,"_196":197,"_1000":1001},"book",{"_52":53,"_62":63,"_66":67,"_68":69,"_70":71,"_178":179,"_55":180,"_181":182,"_183":184,"_185":-5,"_186":187,"_188":189,"_190":191,"_192":193,"_194":195},"educationStages",[54,59],{"_55":56,"_57":58},"slug","liceum-klasa-1","name","liceum, klasa 1",{"_55":60,"_57":61},"technikum-klasa-1","technikum, klasa 1","subject",{"_57":64,"_55":65},"Fizyka","fizyka","cover","https://cdn.gotowiec.pl/book-image/931/7c2/1bc/41f4ddfb7cf011b97b6688e/ozcover_9788326736704.jpg","coverThumbnail","https://cdn.gotowiec.pl/book-thumb/d7a/8e1/4a8/d9943a38b7f914be9797ce9/ozcover_9788326736704.webp","pages",[72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177],4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,90,91,92,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,111,112,113,114,115,116,"title","Odkryć fizykę 1. Karty pracy ucznia zakres podstawowy","odkryc-fizyke-1-karty-pracy-ucznia-zakres-podstawowy","shortDescription","

Odkryć fizykę 1. Karty pracy ucznia zakres podstawowy to publikacja wydana przez Nowa Era, przeznaczona dla uczniów liceum ogólnokształcącego oraz technikum, klasa 1. Jest to zeszyt ćwiczeń uzupełniający podręcznik szkolny, wspierający nauczanie fizyki na poziomie podstawowym.

Zawartość książki skupia się na fundamentalnych zagadnieniach fizycznych, takich jak dynamika, ruch prostoliniowy, prawa Newtona, ruch po okręgu, grawitacja, praca, moc i energia. Każdy rozdział zaczyna się od wprowadzenia teoretycznego, a następnie oferuje różnorodne zadania i doświadczenia, które pomagają uczniom lepiej zrozumieć i utrwalić wiedzę.

Niezbędne dla uczniów są odrabiane zadania do podręcznika Odkryć fizykę 1, a nasza strona oferuje gotowe odpowiedzi do książki oraz PDF z odpowiedziami, co stanowi znakomite wsparcie w procesie edukacyjnym.

","longDescription","

Poszukujesz odrobionych zadań do zeszytu ćwiczeń Odkryć fizykę 1. Karty pracy ucznia zakres podstawowy wydawnictwa Nowa Era? Nie musisz szukać dalej. Nasza strona internetowa oferuje gotowe odpowiedzi do tego zeszytu ćwiczeń, dedykowane dla uczniów pierwszej klasy liceum ogólnokształcącego oraz technikum. Zrozumienie fizyki stało się prostsze dzięki naszym kompleksowym rozwiązaniom.

Podręcznik ten skupia się na fundamentalnych zagadnieniach fizyki, dzieląc materiał na trzy główne jednostki. Pierwsza jednostka opisuje siły i ruch, zaczynając od podstawowych definicji, przez doświadczenia i pomiary. Rozdziały takie jak 'Siły. Trzecia zasada dynamiki' oraz 'Opis ruchu prostoliniowego' oferują wnikliwe wprowadzenie do mechaniki. Druga jednostka koncentruje się na ruchu po okręgu oraz grawitacji, omawiając zarówno teoretyczne aspekty, jak i praktyczne zastosowania tych zagadnień w kontekście sił dośrodkowych i satelitów. Trzecia jednostka, poświęcona pracy, mocy oraz energii, od pracy mechanicznej po złożone przemiany energii mechanicznej, stanowi kluczowy element dla zrozumienia zachowania energii w procesach fizycznych.

Dodatkowe sekcje, takie jak 'Dodatki matematyczne z przykładami', 'Karta wzorów i tabel' oraz 'Odpowiedzi do wybranych zadań obliczeniowych', znacząco ułatwiają naukę i przygotowanie do egzaminów. Dzięki PDF z odpowiedziami do książki, uczniowie mają możliwość samodzielnego sprawdzania swoich rozwiązań, co sprzyja lepszemu zrozumieniu materiału.

Odkryj fizykę na nowo z naszą pomocą. Oferowane przez nas PDF z odpowiedziami są nie tylko precyzyjne, ale również zgodne z aktualnym programem nauczania, co sprawia, że są one nieocenionym zasobem w edukacji każdego młodego fizyka.

","seriesTitle","type","exercisebook","publisher","Nowa Era","authors","Bartłomiej Piotrowski","number","9788326736704","publicationDate","2019-01-01T00:00:00+01:00","bookTOC",[198,216,223,230,235,242,249,258,265,272,277,286,291,300,305,312,319,324,329,338,345,350,359,368,373,378,385,392,401,406,413,424,429,434,443,456,465,471,478,484,493,504,515,524,535,542,547,552,561,570,577,582,591,598,605,610,619,628,641,648,653,662,669,679,684,695,704,709,716,721,728,733,738,743,752,759,764,773,782,787,792,797,806,821,832,841,850,855,860,871,878,883,888,893,900,913,920,925,934,941,948,953,958,965,978,991],{"_199":200,"_201":-5,"_202":203},"pageNumber","4","sectionName","solutions",[204,210,213],{"_55":205,"_57":205,"_206":207},"1","defaultAnswer",{"_208":209},"position",2,{"_55":211,"_57":211,"_206":212},"2",{"_208":209},{"_55":214,"_57":214,"_206":215},"3",{"_208":209},{"_199":217,"_201":-5,"_202":218},"5",[219,221],{"_55":200,"_57":200,"_206":220},{"_208":209},{"_55":217,"_57":217,"_206":222},{"_208":209},{"_199":224,"_201":-5,"_202":225},"6",[226,228],{"_55":205,"_57":205,"_206":227},{"_208":209},{"_55":211,"_57":211,"_206":229},{"_208":209},{"_199":231,"_201":-5,"_202":232},"7",[233],{"_55":214,"_57":214,"_206":234},{"_208":209},{"_199":236,"_201":-5,"_202":237},"8",[238,240],{"_55":200,"_57":200,"_206":239},{"_208":209},{"_55":217,"_57":217,"_206":241},{"_208":209},{"_199":243,"_201":-5,"_202":244},"9",[245],{"_55":246,"_57":247,"_206":248},"na-wyrywki","Na wyrywki",{"_208":209},{"_199":250,"_201":-5,"_202":251},"10",[252,254,256],{"_55":205,"_57":205,"_206":253},{"_208":209},{"_55":211,"_57":211,"_206":255},{"_208":209},{"_55":214,"_57":214,"_206":257},{"_208":209},{"_199":259,"_201":-5,"_202":260},"11",[261,263],{"_55":200,"_57":200,"_206":262},{"_208":209},{"_55":217,"_57":217,"_206":264},{"_208":209},{"_199":266,"_201":-5,"_202":267},"12",[268,270],{"_55":224,"_57":224,"_206":269},{"_208":209},{"_55":231,"_57":231,"_206":271},{"_208":209},{"_199":273,"_201":-5,"_202":274},"13",[275],{"_55":246,"_57":247,"_206":276},{"_208":209},{"_199":278,"_201":-5,"_202":279},"14",[280,282,284],{"_55":205,"_57":205,"_206":281},{"_208":209},{"_55":211,"_57":211,"_206":283},{"_208":209},{"_55":214,"_57":214,"_206":285},{"_208":209},{"_199":287,"_201":-5,"_202":288},"15",[289],{"_55":200,"_57":200,"_206":290},{"_208":209},{"_199":292,"_201":-5,"_202":293},"16",[294,296,298],{"_55":217,"_57":217,"_206":295},{"_208":209},{"_55":224,"_57":224,"_206":297},{"_208":209},{"_55":231,"_57":231,"_206":299},{"_208":209},{"_199":301,"_201":-5,"_202":302},"17",[303],{"_55":246,"_57":247,"_206":304},{"_208":209},{"_199":306,"_201":-5,"_202":307},"18",[308,310],{"_55":205,"_57":205,"_206":309},{"_208":209},{"_55":211,"_57":211,"_206":311},{"_208":209},{"_199":313,"_201":-5,"_202":314},"19",[315,317],{"_55":214,"_57":214,"_206":316},{"_208":209},{"_55":200,"_57":200,"_206":318},{"_208":209},{"_199":320,"_201":-5,"_202":321},"20",[322],{"_55":217,"_57":217,"_206":323},{"_208":209},{"_199":325,"_201":-5,"_202":326},"21",[327],{"_55":246,"_57":247,"_206":328},{"_208":209},{"_199":330,"_201":-5,"_202":331},"22",[332,334,336],{"_55":205,"_57":205,"_206":333},{"_208":209},{"_55":211,"_57":211,"_206":335},{"_208":209},{"_55":214,"_57":214,"_206":337},{"_208":209},{"_199":339,"_201":-5,"_202":340},"23",[341,343],{"_55":200,"_57":200,"_206":342},{"_208":209},{"_55":217,"_57":217,"_206":344},{"_208":209},{"_199":346,"_201":-5,"_202":347},"24",[348],{"_55":246,"_57":247,"_206":349},{"_208":209},{"_199":351,"_201":-5,"_202":352},"25",[353,355,357],{"_55":205,"_57":205,"_206":354},{"_208":209},{"_55":211,"_57":211,"_206":356},{"_208":209},{"_55":214,"_57":214,"_206":358},{"_208":209},{"_199":360,"_201":-5,"_202":361},"26",[362,364,366],{"_55":200,"_57":200,"_206":363},{"_208":209},{"_55":217,"_57":217,"_206":365},{"_208":209},{"_55":224,"_57":224,"_206":367},{"_208":209},{"_199":369,"_201":-5,"_202":370},"27",[371],{"_55":231,"_57":231,"_206":372},{"_208":209},{"_199":374,"_201":-5,"_202":375},"28",[376],{"_55":246,"_57":247,"_206":377},{"_208":209},{"_199":379,"_201":-5,"_202":380},"29",[381,383],{"_55":205,"_57":205,"_206":382},{"_208":209},{"_55":211,"_57":211,"_206":384},{"_208":209},{"_199":386,"_201":-5,"_202":387},"30",[388,390],{"_55":214,"_57":214,"_206":389},{"_208":209},{"_55":200,"_57":200,"_206":391},{"_208":209},{"_199":393,"_201":-5,"_202":394},"31",[395,397,399],{"_55":217,"_57":217,"_206":396},{"_208":209},{"_55":224,"_57":224,"_206":398},{"_208":209},{"_55":231,"_57":231,"_206":400},{"_208":209},{"_199":402,"_201":-5,"_202":403},"32",[404],{"_55":246,"_57":247,"_206":405},{"_208":209},{"_199":407,"_201":-5,"_202":408},"33",[409,411],{"_55":205,"_57":205,"_206":410},{"_208":209},{"_55":211,"_57":211,"_206":412},{"_208":209},{"_199":414,"_201":-5,"_202":415},"34",[416,418,420,422],{"_55":214,"_57":214,"_206":417},{"_208":209},{"_55":200,"_57":200,"_206":419},{"_208":209},{"_55":217,"_57":217,"_206":421},{"_208":209},{"_55":224,"_57":224,"_206":423},{"_208":209},{"_199":425,"_201":-5,"_202":426},"35",[427],{"_55":231,"_57":231,"_206":428},{"_208":209},{"_199":430,"_201":-5,"_202":431},"36",[432],{"_55":246,"_57":247,"_206":433},{"_208":209},{"_199":435,"_201":-5,"_202":436},"37",[437,439,441],{"_55":205,"_57":205,"_206":438},{"_208":209},{"_55":211,"_57":211,"_206":440},{"_208":209},{"_55":214,"_57":214,"_206":442},{"_208":209},{"_199":444,"_201":-5,"_202":445},"39",[446,448,450,452,454],{"_55":205,"_57":205,"_206":447},{"_208":209},{"_55":211,"_57":211,"_206":449},{"_208":209},{"_55":214,"_57":214,"_206":451},{"_208":209},{"_55":200,"_57":200,"_206":453},{"_208":209},{"_55":217,"_57":217,"_206":455},{"_208":209},{"_199":457,"_201":-5,"_202":458},"40",[459,461,463],{"_55":200,"_57":200,"_206":460},{"_208":209},{"_55":217,"_57":217,"_206":462},{"_208":209},{"_55":224,"_57":224,"_206":464},{"_208":209},{"_199":466,"_201":-5,"_202":467},"41",[468],{"_55":246,"_57":247,"_206":469},{"_208":470},1,{"_199":472,"_201":-5,"_202":473},"42",[474],{"_55":475,"_57":476,"_206":477},"uporzadkuj-swoja-wiedze","Uporzadkuj swoją wiedzę",{"_208":470},{"_199":479,"_201":-5,"_202":480},"43",[481],{"_55":475,"_57":482,"_206":483},"Uporządkuj swoją wiedzę",{"_208":470},{"_199":485,"_201":-5,"_202":486},"44",[487,489,491],{"_55":205,"_57":205,"_206":488},{"_208":209},{"_55":211,"_57":211,"_206":490},{"_208":209},{"_55":214,"_57":214,"_206":492},{"_208":209},{"_199":494,"_201":-5,"_202":495},"45",[496,498,500,502],{"_55":205,"_57":205,"_206":497},{"_208":209},{"_55":211,"_57":211,"_206":499},{"_208":209},{"_55":214,"_57":214,"_206":501},{"_208":209},{"_55":200,"_57":200,"_206":503},{"_208":209},{"_199":505,"_201":-5,"_202":506},"46",[507,509,511,513],{"_55":217,"_57":217,"_206":508},{"_208":209},{"_55":224,"_57":224,"_206":510},{"_208":209},{"_55":231,"_57":231,"_206":512},{"_208":209},{"_55":236,"_57":236,"_206":514},{"_208":209},{"_199":516,"_201":-5,"_202":517},"47",[518,520,522],{"_55":243,"_57":243,"_206":519},{"_208":209},{"_55":250,"_57":250,"_206":521},{"_208":209},{"_55":259,"_57":259,"_206":523},{"_208":209},{"_199":525,"_201":-5,"_202":526},"48",[527,529,531,533],{"_55":205,"_57":205,"_206":528},{"_208":209},{"_55":211,"_57":211,"_206":530},{"_208":209},{"_55":214,"_57":214,"_206":532},{"_208":209},{"_55":200,"_57":200,"_206":534},{"_208":209},{"_199":536,"_201":-5,"_202":537},"49",[538,540],{"_55":217,"_57":217,"_206":539},{"_208":209},{"_55":224,"_57":224,"_206":541},{"_208":209},{"_199":543,"_201":-5,"_202":544},"50",[545],{"_55":231,"_57":231,"_206":546},{"_208":209},{"_199":548,"_201":-5,"_202":549},"51",[550],{"_55":246,"_57":247,"_206":551},{"_208":209},{"_199":553,"_201":-5,"_202":554},"52",[555,557,559],{"_55":205,"_57":205,"_206":556},{"_208":209},{"_55":211,"_57":211,"_206":558},{"_208":209},{"_55":214,"_57":214,"_206":560},{"_208":209},{"_199":562,"_201":-5,"_202":563},"53",[564,566,568],{"_55":200,"_57":200,"_206":565},{"_208":209},{"_55":217,"_57":217,"_206":567},{"_208":209},{"_55":224,"_57":224,"_206":569},{"_208":209},{"_199":571,"_201":-5,"_202":572},"54",[573,575],{"_55":231,"_57":231,"_206":574},{"_208":209},{"_55":236,"_57":236,"_206":576},{"_208":209},{"_199":578,"_201":-5,"_202":579},"55",[580],{"_55":246,"_57":247,"_206":581},{"_208":209},{"_199":583,"_201":-5,"_202":584},"56",[585,587,589],{"_55":205,"_57":205,"_206":586},{"_208":209},{"_55":211,"_57":211,"_206":588},{"_208":209},{"_55":214,"_57":214,"_206":590},{"_208":209},{"_199":592,"_201":-5,"_202":593},"57",[594,596],{"_55":200,"_57":200,"_206":595},{"_208":209},{"_55":217,"_57":217,"_206":597},{"_208":209},{"_199":599,"_201":-5,"_202":600},"58",[601,603],{"_55":224,"_57":224,"_206":602},{"_208":209},{"_55":231,"_57":231,"_206":604},{"_208":209},{"_199":606,"_201":-5,"_202":607},"59",[608],{"_55":246,"_57":247,"_206":609},{"_208":209},{"_199":611,"_201":-5,"_202":612},"60",[613,615,617],{"_55":205,"_57":205,"_206":614},{"_208":209},{"_55":211,"_57":211,"_206":616},{"_208":209},{"_55":214,"_57":214,"_206":618},{"_208":209},{"_199":620,"_201":-5,"_202":621},"61",[622,624,626],{"_55":200,"_57":200,"_206":623},{"_208":209},{"_55":217,"_57":217,"_206":625},{"_208":209},{"_55":224,"_57":224,"_206":627},{"_208":209},{"_199":629,"_201":-5,"_202":630},"63",[631,633,635,637,639],{"_55":205,"_57":205,"_206":632},{"_208":209},{"_55":211,"_57":211,"_206":634},{"_208":209},{"_55":214,"_57":214,"_206":636},{"_208":209},{"_55":200,"_57":200,"_206":638},{"_208":209},{"_55":217,"_57":217,"_206":640},{"_208":209},{"_199":642,"_201":-5,"_202":643},"64",[644,646],{"_55":231,"_57":231,"_206":645},{"_208":209},{"_55":236,"_57":236,"_206":647},{"_208":209},{"_199":649,"_201":-5,"_202":650},"65",[651],{"_55":246,"_57":247,"_206":652},{"_208":209},{"_199":654,"_201":-5,"_202":655},"66",[656,658,660],{"_55":205,"_57":205,"_206":657},{"_208":209},{"_55":211,"_57":211,"_206":659},{"_208":209},{"_55":214,"_57":214,"_206":661},{"_208":209},{"_199":663,"_201":-5,"_202":664},"67",[665,667],{"_55":200,"_57":200,"_206":666},{"_208":209},{"_55":217,"_57":217,"_206":668},{"_208":209},{"_199":670,"_201":-5,"_202":671},"68",[672,674,676],{"_55":224,"_57":224,"_206":673},{"_208":209},{"_55":231,"_57":231,"_206":675},{"_208":209},{"_55":677,"_57":231,"_206":678},"71",{"_208":209},{"_199":680,"_201":-5,"_202":681},"69",[682],{"_55":246,"_57":247,"_206":683},{"_208":470},{"_199":685,"_201":-5,"_202":686},"70",[687,689,691,693],{"_55":205,"_57":205,"_206":688},{"_208":209},{"_55":211,"_57":211,"_206":690},{"_208":209},{"_55":214,"_57":214,"_206":692},{"_208":209},{"_55":200,"_57":200,"_206":694},{"_208":209},{"_199":696,"_201":-5,"_202":697},"72",[698,700,702],{"_55":217,"_57":217,"_206":699},{"_208":209},{"_55":224,"_57":224,"_206":701},{"_208":209},{"_55":231,"_57":231,"_206":703},{"_208":209},{"_199":705,"_201":-5,"_202":706},"73",[707],{"_55":246,"_57":247,"_206":708},{"_208":470},{"_199":710,"_201":-5,"_202":711},"74",[712,714],{"_55":205,"_57":205,"_206":713},{"_208":209},{"_55":211,"_57":211,"_206":715},{"_208":209},{"_199":717,"_201":-5,"_202":718},"75",[719],{"_55":214,"_57":214,"_206":720},{"_208":209},{"_199":722,"_201":-5,"_202":723},"76",[724,726],{"_55":200,"_57":200,"_206":725},{"_208":209},{"_55":217,"_57":217,"_206":727},{"_208":209},{"_199":729,"_201":-5,"_202":730},"77",[731],{"_55":224,"_57":224,"_206":732},{"_208":209},{"_199":734,"_201":-5,"_202":735},"78",[736],{"_55":246,"_57":247,"_206":737},{"_208":209},{"_199":739,"_201":-5,"_202":740},"79",[741],{"_55":205,"_57":205,"_206":742},{"_208":209},{"_199":744,"_201":-5,"_202":745},"80",[746,748,750],{"_55":211,"_57":211,"_206":747},{"_208":470},{"_55":214,"_57":214,"_206":749},{"_208":470},{"_55":200,"_57":200,"_206":751},{"_208":209},{"_199":753,"_201":-5,"_202":754},"81",[755,757],{"_55":217,"_57":217,"_206":756},{"_208":209},{"_55":224,"_57":224,"_206":758},{"_208":209},{"_199":760,"_201":-5,"_202":761},"82",[762],{"_55":246,"_57":247,"_206":763},{"_208":209},{"_199":765,"_201":-5,"_202":766},"83",[767,769,771],{"_55":205,"_57":205,"_206":768},{"_208":209},{"_55":211,"_57":211,"_206":770},{"_208":209},{"_55":214,"_57":214,"_206":772},{"_208":209},{"_199":774,"_201":-5,"_202":775},"84",[776,778,780],{"_55":200,"_57":200,"_206":777},{"_208":209},{"_55":217,"_57":217,"_206":779},{"_208":470},{"_55":224,"_57":224,"_206":781},{"_208":209},{"_199":783,"_201":-5,"_202":784},"85",[785],{"_55":246,"_57":247,"_206":786},{"_208":209},{"_199":788,"_201":-5,"_202":789},"86",[790],{"_55":475,"_57":482,"_206":791},{"_208":470},{"_199":793,"_201":-5,"_202":794},"87",[795],{"_55":475,"_57":482,"_206":796},{"_208":470},{"_199":798,"_201":-5,"_202":799},"90",[800,802,804],{"_55":205,"_57":205,"_206":801},{"_208":209},{"_55":211,"_57":211,"_206":803},{"_208":209},{"_55":214,"_57":214,"_206":805},{"_208":209},{"_199":807,"_201":-5,"_202":808},"91",[809,811,813,815,817,819],{"_55":200,"_57":200,"_206":810},{"_208":209},{"_55":217,"_57":217,"_206":812},{"_208":209},{"_55":224,"_57":224,"_206":814},{"_208":209},{"_55":231,"_57":231,"_206":816},{"_208":209},{"_55":236,"_57":236,"_206":818},{"_208":209},{"_55":243,"_57":243,"_206":820},{"_208":209},{"_199":822,"_201":-5,"_202":823},"92",[824,826,828,830],{"_55":250,"_57":250,"_206":825},{"_208":470},{"_55":259,"_57":259,"_206":827},{"_208":209},{"_55":266,"_57":266,"_206":829},{"_208":209},{"_55":273,"_57":273,"_206":831},{"_208":209},{"_199":833,"_201":-5,"_202":834},"94",[835,837,839],{"_55":205,"_57":205,"_206":836},{"_208":209},{"_55":211,"_57":211,"_206":838},{"_208":470},{"_55":214,"_57":214,"_206":840},{"_208":209},{"_199":842,"_201":-5,"_202":843},"95",[844,846,848],{"_55":200,"_57":200,"_206":845},{"_208":209},{"_55":217,"_57":217,"_206":847},{"_208":209},{"_55":224,"_57":224,"_206":849},{"_208":209},{"_199":851,"_201":-5,"_202":852},"96",[853],{"_55":231,"_57":231,"_206":854},{"_208":209},{"_199":856,"_201":-5,"_202":857},"97",[858],{"_55":246,"_57":247,"_206":859},{"_208":209},{"_199":861,"_201":-5,"_202":862},"98",[863,865,867,869],{"_55":205,"_57":205,"_206":864},{"_208":209},{"_55":211,"_57":211,"_206":866},{"_208":209},{"_55":214,"_57":214,"_206":868},{"_208":209},{"_55":200,"_57":200,"_206":870},{"_208":209},{"_199":872,"_201":-5,"_202":873},"99",[874,876],{"_55":217,"_57":217,"_206":875},{"_208":209},{"_55":224,"_57":224,"_206":877},{"_208":209},{"_199":879,"_201":-5,"_202":880},"100",[881],{"_55":231,"_57":231,"_206":882},{"_208":209},{"_199":884,"_201":-5,"_202":885},"101",[886],{"_55":246,"_57":247,"_206":887},{"_208":209},{"_199":889,"_201":-5,"_202":890},"102",[891],{"_55":205,"_57":205,"_206":892},{"_208":209},{"_199":894,"_201":-5,"_202":895},"103",[896,898],{"_55":211,"_57":211,"_206":897},{"_208":209},{"_55":214,"_57":214,"_206":899},{"_208":209},{"_199":901,"_201":-5,"_202":902},"105",[903,905,907,909,911],{"_55":205,"_57":205,"_206":904},{"_208":209},{"_55":211,"_57":211,"_206":906},{"_208":209},{"_55":214,"_57":214,"_206":908},{"_208":209},{"_55":200,"_57":200,"_206":910},{"_208":209},{"_55":217,"_57":217,"_206":912},{"_208":209},{"_199":914,"_201":-5,"_202":915},"106",[916,918],{"_55":200,"_57":200,"_206":917},{"_208":209},{"_55":217,"_57":217,"_206":919},{"_208":209},{"_199":921,"_201":-5,"_202":922},"107",[923],{"_55":246,"_57":247,"_206":924},{"_208":209},{"_199":926,"_201":-5,"_202":927},"108",[928,930,932],{"_55":205,"_57":205,"_206":929},{"_208":209},{"_55":211,"_57":211,"_206":931},{"_208":209},{"_55":214,"_57":214,"_206":933},{"_208":209},{"_199":935,"_201":-5,"_202":936},"109",[937,939],{"_55":200,"_57":200,"_206":938},{"_208":209},{"_55":217,"_57":217,"_206":940},{"_208":209},{"_199":942,"_201":-5,"_202":943},"110",[944,946],{"_55":224,"_57":224,"_206":945},{"_208":209},{"_55":231,"_57":231,"_206":947},{"_208":209},{"_199":949,"_201":-5,"_202":950},"111",[951],{"_55":246,"_57":247,"_206":952},{"_208":470},{"_199":954,"_201":-5,"_202":955},"112",[956],{"_55":475,"_57":482,"_206":957},{"_208":470},{"_199":959,"_201":-5,"_202":960},"113",[961],{"_55":962,"_57":963,"_206":964},"dziennik-labolatoryjny","Dziennik labolatoryjny",{"_208":470},{"_199":966,"_201":-5,"_202":967},"114",[968,970,972,974,976],{"_55":205,"_57":205,"_206":969},{"_208":209},{"_55":211,"_57":211,"_206":971},{"_208":209},{"_55":214,"_57":214,"_206":973},{"_208":209},{"_55":200,"_57":200,"_206":975},{"_208":209},{"_55":217,"_57":217,"_206":977},{"_208":209},{"_199":979,"_201":-5,"_202":980},"115",[981,983,985,987,989],{"_55":224,"_57":224,"_206":982},{"_208":209},{"_55":231,"_57":231,"_206":984},{"_208":209},{"_55":236,"_57":236,"_206":986},{"_208":209},{"_55":243,"_57":243,"_206":988},{"_208":209},{"_55":250,"_57":250,"_206":990},{"_208":209},{"_199":992,"_201":-5,"_202":993},"116",[994,996,998],{"_55":259,"_57":259,"_206":995},{"_208":209},{"_55":266,"_57":266,"_206":997},{"_208":209},{"_55":273,"_57":273,"_206":999},{"_208":209},"solution",{"_1002":1003,"_55":231,"_192":231,"_1004":1005,"_1006":1007},"foreignId","91769ad2-9582-4bb3-9ad9-cb3a8a275f7f","questions","Zadanie 7 Praca, jaką wykonuje siła tarcia podczas hamowania pojazdu, powoduje zmniejszenie jego energii kinetycznej. Przy maksymalnej stałej sile hamowania praca wykonana przez siłę tarcia jest proporcjonalna do drogi hamowania. Oznacza to, że do zahamowania pojazdu mającego dwa razy większą energię kinetyczną jest wymagana dwa razy większa praca. a) Uzupełnij tabelę, wpisując odpowiednie długości drogi, jaka jest potrzebna do zatrzymania samochodu osobowego o określonej energii kinetycznej. Uwaga. Nie uwzględniamy tzw. drogi reakcji, czyli drogi, jaką przejeżdża samochód, zanim kierowca zareaguje, wciskając z pełną siłą hamulec. Interesuje nas jedynie droga, na jakiej samochód zmniejsza prędkość. Energia kinetyczna [kJ] 15 30 45 60 Droga hamowania [m] 1,8 3,6 b) Na wykresie przedstawiono wykres zależności energii kinetycznej samochodu osobowego od jego prędkości. Na jego podstawie i danych w tabeli z podpunktu a)","answers",[1008,1011,1012],{"_208":470,"_1009":1010},"access","premium",{"_208":209,"_1009":1010},{"_208":1013,"_1009":1014},3,"logged_in","routes/$subjectSlug.$bookSlug.$pageNumber",{},"routes/$subjectSlug.$bookSlug.$pageNumber.$solutionSlug",{"_1000":1019},{"_1002":1003,"_55":231,"_192":231,"_1004":1005,"_1006":1020},[1021,1022,1023],{"_208":470,"_1009":1010},{"_208":209,"_1009":1010},{"_208":1013,"_1009":1014},"routes/$subjectSlug.$bookSlug.$pageNumber.$solutionSlug.$answerPosition",{"_1026":1027,"_1028":1029,"_1033":1034},"comments",[],"visit",{"_13":1030,"_15":1031,"_1032":39},"ab05277f-702c-416b-88e6-f90a5fed2c21","jpv0ARMI0PwZmByrm6UgXA","visibleReCaptcha","excerpt",{"_1035":1036,"_1037":1038},"content","

\r\n\r\n\r\n\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\r\n

Energia kinetyczna [kJ]	15	30	45	60
Droga hamowania [m]	1,8	3,6	5,4	7,2

\r\n\r\n

b) Odpowiedź: Droga hamowania wynosi

\r\n\r\n

c) B. wprost proporcjonalna do kwadratu, 4, 9.

\r\n\r\n

d) Analizując punkt c),

","stylesheet","\n\nmjx-c.mjx-c76::before {\n padding: 0.431em 0.528em 0.011em 0;\n content: \"v\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c22EE::before {\n padding: 1.3em 0.278em 0.03em 0;\n content: \"\\22EE\";\n}\n\nmjx-c.mjx-c1D424.TEX-B::before {\n padding: 0.694em 0.607em 0 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c1D420.TEX-B::before {\n padding: 0.455em 0.575em 0.201em 0;\n content: \"g\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c4C::before {\n padding: 0.683em 0.625em 0 0;\n content: \"L\";\n}\n\nmjx-c.mjx-c1D444.TEX-I::before {\n padding: 0.704em 0.791em 0.194em 0;\n content: \"Q\";\n}\n\nmjx-munderover {\n display: inline-block;\n text-align: left;\n}\n\nmjx-munderover:not([limits=\"false\"]) {\n padding-top: .1em;\n}\n\nmjx-munderover:not([limits=\"false\"]) > * {\n display: block;\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D41A.TEX-B::before {\n padding: 0.453em 0.559em 0.006em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c1D426.TEX-B::before {\n padding: 0.45em 0.958em 0 0;\n content: \"m\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-maction {\n display: inline-block;\n text-align: left;\n position: relative;\n}\n\nmjx-maction > mjx-tool {\n display: none;\n position: absolute;\n bottom: 0;\n right: 0;\n width: 0;\n height: 0;\n z-index: 500;\n}\n\nmjx-tool > mjx-tip {\n display: inline-block;\n padding: .2em;\n border: 1px solid #888;\n font-size: 70%;\n background-color: #F8F8F8;\n color: black;\n box-shadow: 2px 2px 5px #AAAAAA;\n}\n\nmjx-maction[toggle] {\n cursor: pointer;\n}\n\nmjx-status {\n display: block;\n position: fixed;\n left: 1em;\n bottom: 1em;\n min-width: 25%;\n padding: .2em .4em;\n border: 1px solid #888;\n font-size: 90%;\n background-color: #F8F8F8;\n color: black;\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c46::before {\n padding: 0.68em 0.653em 0 0;\n content: \"F\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D708.TEX-I::before {\n padding: 0.442em 0.53em 0 0;\n content: \"\\3BD\";\n}\n\nmjx-c.mjx-c21C4.TEX-A::before {\n padding: 0.667em 1em 0 0;\n content: \"\\21C4\";\n}\n\nmjx-c.mjx-c1D700.TEX-I::before {\n padding: 0.452em 0.466em 0.022em 0;\n content: \"\\3B5\";\n}\n\nmjx-c.mjx-c20::before {\n padding: 0 0.25em 0 0;\n content: \" \";\n}\n\n\n\nmjx-c.mjx-c1D714.TEX-I::before {\n padding: 0.443em 0.622em 0.011em 0;\n content: \"\\3C9\";\n}\n\n\n\n\n\n\n\n\n\nmjx-stretchy-v.mjx-c7B mjx-beg mjx-c::before {\n content: \"\\23A7\";\n padding: 0.899em 0.889em 0.01em 0;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-ext mjx-c::before {\n content: \"\\23AA\";\n width: 0.889em;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-end mjx-c::before {\n content: \"\\23A9\";\n padding: 0.01em 0.889em 0.899em 0;\n}\n\nmjx-stretchy-v.mjx-c7B mjx-mid mjx-c::before {\n content: \"\\23A8\";\n padding: 1.16em 0.889em 0.66em 0;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-mid {\n margin-top: -0.91em;\n margin-bottom: -0.91em;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-end {\n margin-top: -0.909em;\n}\n\nmjx-stretchy-v.mjx-c7B > mjx-ext {\n height: 50%;\n border-top-width: 0.879em;\n border-bottom-width: 0.879em;\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D711.TEX-I::before {\n padding: 0.442em 0.654em 0.218em 0;\n content: \"\\3C6\";\n}\n\n\n\nmjx-c.mjx-c1D6FA.TEX-I::before {\n padding: 0.704em 0.786em 0 0;\n content: \"\\3A9\";\n}\n\nmjx-c.mjx-c2032::before {\n padding: 0.56em 0.275em 0 0;\n content: \"\\2032\";\n}\n\nmjx-c.mjx-c57::before {\n padding: 0.683em 1.028em 0.022em 0;\n content: \"W\";\n}\n\nmjx-c.mjx-c2221.TEX-A::before {\n padding: 0.714em 0.722em 0.02em 0;\n content: \"\\2221\";\n}\n\nmjx-c.mjx-c25B3::before {\n padding: 0.716em 0.889em 0 0;\n content: \"\\25B3\";\n}\n\nmjx-c.mjx-c2222.TEX-A::before {\n padding: 0.551em 0.722em 0.051em 0;\n content: \"\\2222\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D44D.TEX-I::before {\n padding: 0.683em 0.723em 0 0;\n content: \"Z\";\n}\n\nmjx-c.mjx-c1D43F.TEX-I::before {\n padding: 0.683em 0.681em 0 0;\n content: \"L\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c27F6::before {\n padding: 0.511em 1.638em 0.011em 0;\n content: \"\\27F6\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c2032::before {\n padding: 0.56em 0.275em 0 0;\n content: \"\\2032\";\n}\n\nmjx-c.mjx-c1D43C.TEX-I::before {\n padding: 0.683em 0.504em 0 0;\n content: \"I\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D706.TEX-I::before {\n padding: 0.694em 0.583em 0.012em 0;\n content: \"\\3BB\";\n}\n\nmjx-c.mjx-c68::before {\n padding: 0.694em 0.556em 0 0;\n content: \"h\";\n}\n\n\n\n\n\nmjx-c.mjx-c25FB.TEX-A::before {\n padding: 0.689em 0.778em 0 0;\n content: \"\\25A1\";\n}\n\nmjx-c.mjx-c25A1.TEX-A::before {\n padding: 0.689em 0.778em 0 0;\n content: \"\\25A1\";\n}\n\n\n\nmjx-c.mjx-c5A::before {\n padding: 0.683em 0.611em 0 0;\n content: \"Z\";\n}\n\n\n\nmjx-c.mjx-c66::before {\n padding: 0.705em 0.372em 0 0;\n content: \"f\";\n}\n\n\n\nmjx-c.mjx-c21D2::before {\n padding: 0.525em 1em 0.024em 0;\n content: \"\\21D2\";\n}\n\n\n\n\n\nmjx-c.mjx-c2264::before {\n padding: 0.636em 0.778em 0.138em 0;\n content: \"\\2264\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D447.TEX-I::before {\n padding: 0.677em 0.704em 0 0;\n content: \"T\";\n}\n\nmjx-c.mjx-c1D413.TEX-B::before {\n padding: 0.675em 0.8em 0 0;\n content: \"T\";\n}\n\n\n\nmjx-c.mjx-c7E::before {\n padding: 0.318em 0.5em 0 0;\n content: \"~\";\n}\n\n\n\n\n\nmjx-c.mjx-c27E9::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"\\27E9\";\n}\n\n\n\nmjx-stretchy-h.mjx-c2192 mjx-ext mjx-c::before {\n content: \"\\2212\";\n padding: 0.583em 0 0.082em 0;\n}\n\nmjx-stretchy-h.mjx-c2192 mjx-end mjx-c::before {\n content: \"\\2192\";\n padding: 0.583em 0 0.082em 0;\n}\n\nmjx-c.mjx-c28.TEX-S3::before {\n padding: 1.45em 0.736em 0.949em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S3::before {\n padding: 1.45em 0.736em 0.949em 0;\n content: \")\";\n}\n\n\n\n\n\n\n\n\n\n\n\n.mjx-stretched mjx-c.mjx-c2013::before {\n content: \"\\2013\";\n}\n\nmjx-stretchy-h.mjx-c2013 mjx-ext mjx-c::before {\n content: \"\\2013\";\n padding: 0.285em 0 0 0;\n}\n\nmjx-c.mjx-c3A9::before {\n padding: 0.704em 0.722em 0 0;\n content: \"\\3A9\";\n}\n\nmjx-c.mjx-c2013::before {\n padding: 0.285em 0.5em 0 0;\n content: \"\\2013\";\n}\n\n\n\nmjx-c.mjx-c1D459.TEX-I::before {\n padding: 0.694em 0.298em 0.011em 0;\n content: \"l\";\n}\n\nmjx-stretchy-h.mjx-cAF mjx-ext mjx-c::before {\n content: \"\\AF\";\n padding: 0.59em 0 0 0;\n}\n\nmjx-c.mjx-c2262::before {\n padding: 0.716em 0.778em 0.215em 0;\n content: \"\\2261\\338\";\n}\n\n\n\n\n\nmjx-c.mjx-c2229::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2229\";\n}\n\nmjx-c.mjx-c2026::before {\n padding: 0.12em 1.172em 0 0;\n content: \"\\2026\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D438.TEX-I::before {\n padding: 0.68em 0.764em 0 0;\n content: \"E\";\n}\n\nmjx-c.mjx-c77::before {\n padding: 0.431em 0.722em 0.011em 0;\n content: \"w\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c70::before {\n padding: 0.442em 0.556em 0.194em 0;\n content: \"p\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c2C.TEX-B::before {\n padding: 0.171em 0.319em 0.194em 0;\n content: \",\";\n}\n\n\n\n\n\n\n\nmjx-c.mjx-c1D421.TEX-B::before {\n padding: 0.694em 0.639em 0 0;\n content: \"h\";\n}\n\nmjx-c.mjx-c1D7D5.TEX-B::before {\n padding: 0.676em 0.575em 0.011em 0;\n content: \"7\";\n}\n\n\n\nmjx-c.mjx-c1D439.TEX-I::before {\n padding: 0.68em 0.749em 0 0;\n content: \"F\";\n}\n\nmjx-c.mjx-c53::before {\n padding: 0.705em 0.556em 0.022em 0;\n content: \"S\";\n}\n\n\n\n\n\nmjx-mover {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mover:not([limits=\"false\"]) {\n padding-top: .1em;\n}\n\nmjx-mover:not([limits=\"false\"]) > * {\n display: block;\n text-align: left;\n}\n\nmjx-c.mjx-c6A::before {\n padding: 0.669em 0.306em 0.205em 0;\n content: \"j\";\n}\n\nmjx-c.mjx-c1D456.TEX-I::before {\n padding: 0.661em 0.345em 0.011em 0;\n content: \"i\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c1D70E.TEX-I::before {\n padding: 0.431em 0.571em 0.011em 0;\n content: \"\\3C3\";\n}\n\n\n\n\n\nmjx-c.mjx-c59::before {\n padding: 0.683em 0.75em 0 0;\n content: \"Y\";\n}\n\nmjx-c.mjx-c2223::before {\n padding: 0.75em 0.278em 0.249em 0;\n content: \"\\2223\";\n}\n\n\n\nmjx-c.mjx-c25.TEX-MI::before {\n padding: 0.75em 0.847em 0.056em 0;\n content: \"%\";\n}\n\nmjx-c.mjx-c1D446.TEX-I::before {\n padding: 0.705em 0.645em 0.022em 0;\n content: \"S\";\n}\n\n\n\nmjx-msubsup {\n display: inline-block;\n text-align: left;\n}\n\nmjx-script {\n display: inline-block;\n padding-right: .05em;\n padding-left: .033em;\n}\n\nmjx-script > mjx-spacer {\n display: block;\n}\n\nmjx-c.mjx-c1D452.TEX-I::before {\n padding: 0.442em 0.466em 0.011em 0;\n content: \"e\";\n}\n\nmjx-c.mjx-c4B::before {\n padding: 0.683em 0.778em 0 0;\n content: \"K\";\n}\n\nmjx-c.mjx-c7B.TEX-S3::before {\n padding: 1.45em 0.75em 0.949em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c2228::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2228\";\n}\n\n\n\nmjx-c.mjx-c56::before {\n padding: 0.683em 0.75em 0.022em 0;\n content: \"V\";\n}\n\nmjx-c.mjx-c4D::before {\n padding: 0.683em 0.917em 0 0;\n content: \"M\";\n}\n\nmjx-c.mjx-c1D43E.TEX-I::before {\n padding: 0.683em 0.889em 0 0;\n content: \"K\";\n}\n\nmjx-c.mjx-c2248::before {\n padding: 0.483em 0.778em 0 0;\n content: \"\\2248\";\n}\n\nmjx-c.mjx-c1D43D.TEX-I::before {\n padding: 0.683em 0.633em 0.022em 0;\n content: \"J\";\n}\n\nmjx-c.mjx-c1D7D6.TEX-B::before {\n padding: 0.654em 0.575em 0.011em 0;\n content: \"8\";\n}\n\nmjx-c.mjx-c1D7CE.TEX-B::before {\n padding: 0.654em 0.575em 0.01em 0;\n content: \"0\";\n}\n\nmjx-c.mjx-c1D40C.TEX-B::before {\n padding: 0.686em 1.092em 0 0;\n content: \"M\";\n}\n\nmjx-c.mjx-c1D409.TEX-B::before {\n padding: 0.686em 0.594em 0.011em 0;\n content: \"J\";\n}\n\nmjx-c.mjx-c1D441.TEX-I::before {\n padding: 0.683em 0.888em 0 0;\n content: \"N\";\n}\n\n\n\nmjx-c.mjx-c2009::before {\n padding: 0 0.167em 0 0;\n content: \"\";\n}\n\n\n\n\n\nmjx-c.mjx-c2227::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\2227\";\n}\n\nmjx-c.mjx-c394::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\nmjx-c.mjx-c7B.TEX-S1::before {\n padding: 0.85em 0.583em 0.349em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D.TEX-S1::before {\n padding: 0.85em 0.583em 0.349em 0;\n content: \"}\";\n}\n\nmjx-c.mjx-c7B.TEX-S2::before {\n padding: 1.15em 0.667em 0.649em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D.TEX-S2::before {\n padding: 1.15em 0.667em 0.649em 0;\n content: \"}\";\n}\n\nmjx-c.mjx-c67::before {\n padding: 0.453em 0.5em 0.206em 0;\n content: \"g\";\n}\n\n\n\nmjx-mtext {\n display: inline-block;\n text-align: left;\n}\n\n\n\n\n\nmjx-c.mjx-c49::before {\n padding: 0.683em 0.361em 0 0;\n content: \"I\";\n}\n\nmjx-c.mjx-c47::before {\n padding: 0.705em 0.785em 0.022em 0;\n content: \"G\";\n}\n\nmjx-c.mjx-c4A::before {\n padding: 0.683em 0.514em 0.022em 0;\n content: \"J\";\n}\n\nmjx-c.mjx-c2A::before {\n padding: 0.75em 0.5em 0 0;\n content: \"*\";\n}\n\nmjx-c.mjx-c1D451.TEX-I::before {\n padding: 0.694em 0.52em 0.01em 0;\n content: \"d\";\n}\n\n\n\n\n\n\n\n\n\n\n\n\n\nmjx-mpadded {\n display: inline-block;\n text-align: left;\n}\n\nmjx-rbox {\n display: inline-block;\n position: relative;\n}\n\nmjx-menclose {\n display: inline-block;\n text-align: left;\n position: relative;\n}\n\nmjx-menclose > mjx-dstrike {\n display: inline-block;\n left: 0;\n top: 0;\n position: absolute;\n border-top: 0.067em solid;\n transform-origin: top left;\n}\n\nmjx-menclose > mjx-ustrike {\n display: inline-block;\n left: 0;\n bottom: 0;\n position: absolute;\n border-top: 0.067em solid;\n transform-origin: bottom left;\n}\n\nmjx-menclose > mjx-hstrike {\n border-top: 0.067em solid;\n position: absolute;\n left: 0;\n right: 0;\n bottom: 50%;\n transform: translateY(0.034em);\n}\n\nmjx-menclose > mjx-vstrike {\n border-left: 0.067em solid;\n position: absolute;\n top: 0;\n bottom: 0;\n right: 50%;\n transform: translateX(0.034em);\n}\n\nmjx-menclose > mjx-rbox {\n position: absolute;\n top: 0;\n bottom: 0;\n right: 0;\n left: 0;\n border: 0.067em solid;\n border-radius: 0.267em;\n}\n\nmjx-menclose > mjx-cbox {\n position: absolute;\n top: 0;\n bottom: 0;\n right: 0;\n left: 0;\n border: 0.067em solid;\n border-radius: 50%;\n}\n\nmjx-menclose > mjx-arrow {\n position: absolute;\n left: 0;\n bottom: 50%;\n height: 0;\n width: 0;\n}\n\nmjx-menclose > mjx-arrow > * {\n display: block;\n position: absolute;\n transform-origin: bottom;\n border-left: 0.268em solid;\n border-right: 0;\n box-sizing: border-box;\n}\n\nmjx-menclose > mjx-arrow > mjx-aline {\n left: 0;\n top: -0.034em;\n right: 0.201em;\n height: 0;\n border-top: 0.067em solid;\n border-left: 0;\n}\n\nmjx-menclose > mjx-arrow[double] > mjx-aline {\n left: 0.201em;\n height: 0;\n}\n\nmjx-menclose > mjx-arrow > mjx-rthead {\n transform: skewX(0.464rad);\n right: 0;\n bottom: -1px;\n border-bottom: 1px solid transparent;\n border-top: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-rbhead {\n transform: skewX(-0.464rad);\n transform-origin: top;\n right: 0;\n top: -1px;\n border-top: 1px solid transparent;\n border-bottom: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-lthead {\n transform: skewX(-0.464rad);\n left: 0;\n bottom: -1px;\n border-left: 0;\n border-right: 0.268em solid;\n border-bottom: 1px solid transparent;\n border-top: 0.134em solid transparent;\n}\n\nmjx-menclose > mjx-arrow > mjx-lbhead {\n transform: skewX(0.464rad);\n transform-origin: top;\n left: 0;\n top: -1px;\n border-left: 0;\n border-right: 0.268em solid;\n border-top: 1px solid transparent;\n border-bottom: 0.134em solid transparent;\n}\n\nmjx-menclose > dbox {\n position: absolute;\n top: 0;\n bottom: 0;\n left: -0.3em;\n width: 0.6em;\n border: 0.067em solid;\n border-radius: 50%;\n clip-path: inset(0 0 0 0.3em);\n box-sizing: border-box;\n}\n\nmjx-c.mjx-c2220::before {\n padding: 0.694em 0.722em 0 0;\n content: \"\\2220\";\n}\n\nmjx-c.mjx-c2218::before {\n padding: 0.444em 0.5em 0 0;\n content: \"\\2218\";\n}\n\nmjx-c.mjx-c1D443.TEX-I::before {\n padding: 0.683em 0.751em 0 0;\n content: \"P\";\n}\n\nmjx-c.mjx-c3F::before {\n padding: 0.705em 0.472em 0 0;\n content: \"?\";\n}\n\nmjx-c.mjx-c2061::before {\n padding: 0 0 0 0;\n content: \"\";\n}\n\nmjx-c.mjx-c1D6E5.TEX-I::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\nmjx-c.mjx-c221A.TEX-S3::before {\n padding: 1.45em 1.02em 0.95em 0;\n content: \"\\221A\";\n}\n\n\n\n\n\n\n\n\n\nmjx-c.mjx-c54::before {\n padding: 0.677em 0.722em 0 0;\n content: \"T\";\n}\n\nmjx-c.mjx-c42::before {\n padding: 0.683em 0.708em 0 0;\n content: \"B\";\n}\n\nmjx-c.mjx-c52::before {\n padding: 0.683em 0.736em 0.022em 0;\n content: \"R\";\n}\n\n\n\nmjx-c.mjx-c1D7D3.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"5\";\n}\n\n\n\nmjx-munder {\n display: inline-block;\n text-align: left;\n}\n\nmjx-over {\n text-align: left;\n}\n\nmjx-munder:not([limits=\"false\"]) {\n display: inline-table;\n}\n\nmjx-munder > mjx-row {\n text-align: left;\n}\n\nmjx-under {\n padding-bottom: .1em;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-beg mjx-c::before {\n content: \"\\E152\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-ext mjx-c::before {\n content: \"\\E154\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-end mjx-c::before {\n content: \"\\E153\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF mjx-mid mjx-c::before {\n content: \"\\E151\\E150\";\n padding: 0.32em 0 0.2em 0;\n}\n\nmjx-stretchy-h.mjx-c23DF > mjx-ext {\n width: 50%;\n}\n\nmjx-c.mjx-c1D453.TEX-I::before {\n padding: 0.705em 0.55em 0.205em 0;\n content: \"f\";\n}\n\nmjx-c.mjx-c1D44C.TEX-I::before {\n padding: 0.683em 0.763em 0 0;\n content: \"Y\";\n}\n\nmjx-c.mjx-c2260::before {\n padding: 0.716em 0.778em 0.215em 0;\n content: \"\\2260\";\n}\n\n\n\nmjx-c.mjx-c2A7D.TEX-A::before {\n padding: 0.636em 0.778em 0.138em 0;\n content: \"\\2A7D\";\n}\n\nmjx-c.mjx-c3B::before {\n padding: 0.43em 0.278em 0.194em 0;\n content: \";\";\n}\n\nmjx-c.mjx-c1D466.TEX-I::before {\n padding: 0.442em 0.49em 0.205em 0;\n content: \"y\";\n}\n\nmjx-c.mjx-c1D467.TEX-I::before {\n padding: 0.442em 0.465em 0.011em 0;\n content: \"z\";\n}\n\n\n\nmjx-stretchy-v.mjx-c7C mjx-ext mjx-c::before {\n content: \"\\2223\";\n width: 0.333em;\n}\n\nmjx-c.mjx-c78::before {\n padding: 0.431em 0.528em 0 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c2206::before {\n padding: 0.716em 0.833em 0 0;\n content: \"\\394\";\n}\n\nmjx-c.mjx-cA0::before {\n padding: 0 0.25em 0 0;\n content: \"\\A0\";\n}\n\nmjx-c.mjx-c75::before {\n padding: 0.442em 0.556em 0.011em 0;\n content: \"u\";\n}\n\nmjx-c.mjx-c62::before {\n padding: 0.694em 0.556em 0.011em 0;\n content: \"b\";\n}\n\nmjx-c.mjx-c222A::before {\n padding: 0.598em 0.667em 0.022em 0;\n content: \"\\222A\";\n}\n\nmjx-c.mjx-c2205::before {\n padding: 0.772em 0.5em 0.078em 0;\n content: \"\\2205\";\n}\n\nmjx-c.mjx-c5B.TEX-S1::before {\n padding: 0.85em 0.417em 0.349em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c5D.TEX-S1::before {\n padding: 0.85em 0.417em 0.349em 0;\n content: \"]\";\n}\n\nmjx-c.mjx-c2265::before {\n padding: 0.636em 0.778em 0.138em 0;\n content: \"\\2265\";\n}\n\nmjx-c.mjx-c27E8::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"\\27E8\";\n}\n\nmjx-c.mjx-c221E::before {\n padding: 0.442em 1em 0.011em 0;\n content: \"\\221E\";\n}\n\nmjx-c.mjx-c210E.TEX-I::before {\n padding: 0.694em 0.576em 0.011em 0;\n content: \"h\";\n}\n\nmjx-c.mjx-c221A.TEX-S1::before {\n padding: 0.85em 1.02em 0.35em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-c211D.TEX-A::before {\n padding: 0.683em 0.722em 0 0;\n content: \"R\";\n}\n\nmjx-c.mjx-c21D4::before {\n padding: 0.526em 1em 0.025em 0;\n content: \"\\21D4\";\n}\n\n\n\nmjx-c.mjx-c41::before {\n padding: 0.716em 0.75em 0 0;\n content: \"A\";\n}\n\n\n\n\n\nmjx-c.mjx-c1D463.TEX-I::before {\n padding: 0.443em 0.485em 0.011em 0;\n content: \"v\";\n}\n\nmjx-c.mjx-c1D461.TEX-I::before {\n padding: 0.626em 0.361em 0.011em 0;\n content: \"t\";\n}\n\n\n\nmjx-c.mjx-c1D464.TEX-I::before {\n padding: 0.443em 0.716em 0.011em 0;\n content: \"w\";\n}\n\nmjx-c.mjx-c6B::before {\n padding: 0.694em 0.528em 0 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c1D458.TEX-I::before {\n padding: 0.694em 0.521em 0.011em 0;\n content: \"k\";\n}\n\nmjx-c.mjx-c2124.TEX-A::before {\n padding: 0.683em 0.667em 0 0;\n content: \"Z\";\n}\n\nmjx-c.mjx-c27E9.TEX-S2::before {\n padding: 1.15em 0.611em 0.649em 0;\n content: \"\\27E9\";\n}\n\nmjx-c.mjx-c27E9.TEX-S1::before {\n padding: 0.85em 0.472em 0.35em 0;\n content: \"\\27E9\";\n}\n\nmjx-c.mjx-c27E8.TEX-S1::before {\n padding: 0.85em 0.472em 0.35em 0;\n content: \"\\27E8\";\n}\n\nmjx-c.mjx-c4E::before {\n padding: 0.683em 0.75em 0 0;\n content: \"N\";\n}\n\nmjx-c.mjx-c63::before {\n padding: 0.448em 0.444em 0.011em 0;\n content: \"c\";\n}\n\nmjx-c.mjx-c5B::before {\n padding: 0.75em 0.278em 0.25em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c5D::before {\n padding: 0.75em 0.278em 0.25em 0;\n content: \"]\";\n}\n\nmjx-c.mjx-c1D44F.TEX-I::before {\n padding: 0.694em 0.429em 0.011em 0;\n content: \"b\";\n}\n\nmjx-c.mjx-c5B.TEX-S2::before {\n padding: 1.15em 0.472em 0.649em 0;\n content: \"[\";\n}\n\nmjx-c.mjx-c5D.TEX-S2::before {\n padding: 1.15em 0.472em 0.649em 0;\n content: \"]\";\n}\n\nmjx-c.mjx-c1D450.TEX-I::before {\n padding: 0.442em 0.433em 0.011em 0;\n content: \"c\";\n}\n\nmjx-c.mjx-c1D6FC.TEX-I::before {\n padding: 0.442em 0.64em 0.011em 0;\n content: \"\\3B1\";\n}\n\nmjx-c.mjx-cB0::before {\n padding: 0.715em 0.5em 0 0;\n content: \"\\B0\";\n}\n\nmjx-c.mjx-c1D6FD.TEX-I::before {\n padding: 0.705em 0.566em 0.194em 0;\n content: \"\\3B2\";\n}\n\nmjx-c.mjx-c1D6FE.TEX-I::before {\n padding: 0.441em 0.543em 0.216em 0;\n content: \"\\3B3\";\n}\n\nmjx-c.mjx-c1D6FF.TEX-I::before {\n padding: 0.717em 0.444em 0.01em 0;\n content: \"\\3B4\";\n}\n\nmjx-c.mjx-c1D45C.TEX-I::before {\n padding: 0.441em 0.485em 0.011em 0;\n content: \"o\";\n}\n\n\n\nmjx-c.mjx-c6E::before {\n padding: 0.442em 0.556em 0 0;\n content: \"n\";\n}\n\nmjx-c.mjx-c69::before {\n padding: 0.669em 0.278em 0 0;\n content: \"i\";\n}\n\nmjx-c.mjx-c72::before {\n padding: 0.442em 0.392em 0 0;\n content: \"r\";\n}\n\nmjx-c.mjx-c73::before {\n padding: 0.448em 0.394em 0.011em 0;\n content: \"s\";\n}\n\nmjx-c.mjx-c74::before {\n padding: 0.615em 0.389em 0.01em 0;\n content: \"t\";\n}\n\nmjx-c.mjx-c79::before {\n padding: 0.431em 0.528em 0.204em 0;\n content: \"y\";\n}\n\n\n\nmjx-mspace {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c.mjx-c3A::before {\n padding: 0.43em 0.278em 0 0;\n content: \":\";\n}\n\nmjx-c.mjx-c211D.TEX-A::before {\n padding: 0.683em 0.722em 0 0;\n content: \"R\";\n}\n\nmjx-c.mjx-c1D431.TEX-B::before {\n padding: 0.444em 0.607em 0 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c3D.TEX-B::before {\n padding: 0.393em 0.894em 0 0;\n content: \"=\";\n}\n\nmjx-c.mjx-c1D7D1.TEX-B::before {\n padding: 0.655em 0.575em 0.011em 0;\n content: \"3\";\n}\n\nmjx-c.mjx-c2212.TEX-B::before {\n padding: 0.281em 0.894em 0 0;\n content: \"\\2212\";\n}\n\nmjx-c.mjx-c1D7D0.TEX-B::before {\n padding: 0.654em 0.575em 0 0;\n content: \"2\";\n}\n\nmjx-c.mjx-c1D7CF.TEX-B::before {\n padding: 0.655em 0.575em 0 0;\n content: \"1\";\n}\n\nmjx-c.mjx-c1D7D2.TEX-B::before {\n padding: 0.656em 0.575em 0 0;\n content: \"4\";\n}\n\nmjx-c.mjx-cF7::before {\n padding: 0.537em 0.778em 0.036em 0;\n content: \"\\F7\";\n}\n\nmjx-c.mjx-c3C::before {\n padding: 0.54em 0.778em 0.04em 0;\n content: \"<\";\n}\n\nmjx-c.mjx-c3E::before {\n padding: 0.54em 0.778em 0.04em 0;\n content: \">\";\n}\n\nmjx-c.mjx-c1D44A.TEX-I::before {\n padding: 0.683em 1.048em 0.022em 0;\n content: \"W\";\n}\n\nmjx-c.mjx-c1D460.TEX-I::before {\n padding: 0.442em 0.469em 0.01em 0;\n content: \"s\";\n}\n\nmjx-c.mjx-c43::before {\n padding: 0.705em 0.722em 0.021em 0;\n content: \"C\";\n}\n\nmjx-c.mjx-c48::before {\n padding: 0.683em 0.75em 0 0;\n content: \"H\";\n}\n\nmjx-c.mjx-c1D43B.TEX-I::before {\n padding: 0.683em 0.888em 0 0;\n content: \"H\";\n}\n\nmjx-c.mjx-c50::before {\n padding: 0.683em 0.681em 0 0;\n content: \"P\";\n}\n\nmjx-c.mjx-c2192::before {\n padding: 0.511em 1em 0.011em 0;\n content: \"\\2192\";\n}\n\nmjx-c.mjx-c1D442.TEX-I::before {\n padding: 0.704em 0.763em 0.022em 0;\n content: \"O\";\n}\n\nmjx-c.mjx-c1D449.TEX-I::before {\n padding: 0.683em 0.769em 0.022em 0;\n content: \"V\";\n}\n\nmjx-c.mjx-c1D45A.TEX-I::before {\n padding: 0.442em 0.878em 0.011em 0;\n content: \"m\";\n}\n\nmjx-c.mjx-cD7::before {\n padding: 0.491em 0.778em 0 0;\n content: \"\\D7\";\n}\n\nmjx-c.mjx-c1D454.TEX-I::before {\n padding: 0.442em 0.477em 0.205em 0;\n content: \"g\";\n}\n\nmjx-c.mjx-c6D::before {\n padding: 0.442em 0.833em 0 0;\n content: \"m\";\n}\n\nmjx-c.mjx-c6F::before {\n padding: 0.448em 0.5em 0.01em 0;\n content: \"o\";\n}\n\nmjx-c.mjx-c6C::before {\n padding: 0.694em 0.278em 0 0;\n content: \"l\";\n}\n\nmjx-c.mjx-c64::before {\n padding: 0.694em 0.556em 0.011em 0;\n content: \"d\";\n}\n\nmjx-c.mjx-c61::before {\n padding: 0.448em 0.5em 0.011em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c65::before {\n padding: 0.448em 0.444em 0.011em 0;\n content: \"e\";\n}\n\nmjx-c.mjx-c1D440.TEX-I::before {\n padding: 0.683em 1.051em 0 0;\n content: \"M\";\n}\n\nmjx-c.mjx-c1D462.TEX-I::before {\n padding: 0.442em 0.572em 0.011em 0;\n content: \"u\";\n}\n\nmjx-c.mjx-c2F::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"/\";\n}\n\n\n\nmjx-c.mjx-c1D44B.TEX-I::before {\n padding: 0.683em 0.852em 0 0;\n content: \"X\";\n}\n\nmjx-c.mjx-c1D465.TEX-I::before {\n padding: 0.442em 0.572em 0.011em 0;\n content: \"x\";\n}\n\nmjx-c.mjx-c1D45D.TEX-I::before {\n padding: 0.442em 0.503em 0.194em 0;\n content: \"p\";\n}\n\nmjx-c.mjx-c1D457.TEX-I::before {\n padding: 0.661em 0.412em 0.204em 0;\n content: \"j\";\n}\n\nmjx-c.mjx-c2208::before {\n padding: 0.54em 0.667em 0.04em 0;\n content: \"\\2208\";\n}\n\nmjx-c.mjx-c7B::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"{\";\n}\n\nmjx-c.mjx-c7D::before {\n padding: 0.75em 0.5em 0.25em 0;\n content: \"}\";\n}\n\nmjx-c.mjx-c58::before {\n padding: 0.683em 0.75em 0 0;\n content: \"X\";\n}\n\nmjx-c.mjx-c2219::before {\n padding: 0.444em 0.5em 0 0;\n content: \"\\2219\";\n}\n\nmjx-c.mjx-c7A::before {\n padding: 0.431em 0.444em 0 0;\n content: \"z\";\n}\n\nmjx-c.mjx-c2E::before {\n padding: 0.12em 0.278em 0 0;\n content: \".\";\n}\n\nmjx-c.mjx-cA0::before {\n padding: 0 0.25em 0 0;\n content: \"\\A0\";\n}\n\n\n\nmjx-c.mjx-c2C::before {\n padding: 0.121em 0.278em 0.194em 0;\n content: \",\";\n}\n\nmjx-c.mjx-c25::before {\n padding: 0.75em 0.833em 0.056em 0;\n content: \"%\";\n}\n\nmjx-c.mjx-c38::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"8\";\n}\n\nmjx-c.mjx-c30::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"0\";\n}\n\nmjx-msub {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mroot {\n display: inline-block;\n text-align: left;\n}\n\nmjx-root {\n display: inline-block;\n white-space: nowrap;\n}\n\nmjx-surd {\n display: inline-block;\n vertical-align: top;\n}\n\nmjx-sqrt {\n display: inline-block;\n padding-top: .07em;\n}\n\nmjx-sqrt > mjx-box {\n border-top: .07em solid;\n}\n\nmjx-sqrt.mjx-tall > mjx-box {\n padding-left: .3em;\n margin-left: -.3em;\n}\n\nmjx-mfenced {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c.mjx-c1D44E.TEX-I::before {\n padding: 0.441em 0.529em 0.01em 0;\n content: \"a\";\n}\n\nmjx-c.mjx-c1D45E.TEX-I::before {\n padding: 0.442em 0.46em 0.194em 0;\n content: \"q\";\n}\n\nmjx-c.mjx-c1D45B.TEX-I::before {\n padding: 0.442em 0.6em 0.011em 0;\n content: \"n\";\n}\n\nmjx-c.mjx-c39::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"9\";\n}\n\nmjx-c.mjx-c221A.TEX-S2::before {\n padding: 1.15em 1.02em 0.65em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-c37::before {\n padding: 0.676em 0.5em 0.022em 0;\n content: \"7\";\n}\n\nmjx-c.mjx-cB7::before {\n padding: 0.31em 0.278em 0 0;\n content: \"\\22C5\";\n}\n\nmjx-c.mjx-c36::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"6\";\n}\n\nmjx-c.mjx-c35::before {\n padding: 0.666em 0.5em 0.022em 0;\n content: \"5\";\n}\n\n\nmjx-container[jax=\"CHTML\"] {\n line-height: 0;\n}\n\nmjx-container [space=\"1\"] {\n margin-left: .111em;\n}\n\nmjx-container [space=\"2\"] {\n margin-left: .167em;\n}\n\nmjx-container [space=\"3\"] {\n margin-left: .222em;\n}\n\nmjx-container [space=\"4\"] {\n margin-left: .278em;\n}\n\nmjx-container [space=\"5\"] {\n margin-left: .333em;\n}\n\nmjx-container [rspace=\"1\"] {\n margin-right: .111em;\n}\n\nmjx-container [rspace=\"2\"] {\n margin-right: .167em;\n}\n\nmjx-container [rspace=\"3\"] {\n margin-right: .222em;\n}\n\nmjx-container [rspace=\"4\"] {\n margin-right: .278em;\n}\n\nmjx-container [rspace=\"5\"] {\n margin-right: .333em;\n}\n\nmjx-container [size=\"s\"] {\n font-size: 70.7%;\n}\n\nmjx-container [size=\"ss\"] {\n font-size: 50%;\n}\n\nmjx-container [size=\"Tn\"] {\n font-size: 60%;\n}\n\nmjx-container [size=\"sm\"] {\n font-size: 85%;\n}\n\nmjx-container [size=\"lg\"] {\n font-size: 120%;\n}\n\nmjx-container [size=\"Lg\"] {\n font-size: 144%;\n}\n\nmjx-container [size=\"LG\"] {\n font-size: 173%;\n}\n\nmjx-container [size=\"hg\"] {\n font-size: 207%;\n}\n\nmjx-container [size=\"HG\"] {\n font-size: 249%;\n}\n\nmjx-container [width=\"full\"] {\n width: 100%;\n}\n\nmjx-box {\n display: inline-block;\n}\n\nmjx-block {\n display: block;\n}\n\nmjx-itable {\n display: inline-table;\n}\n\nmjx-row {\n display: table-row;\n}\n\nmjx-row > * {\n display: table-cell;\n}\n\nmjx-mtext {\n display: inline-block;\n}\n\nmjx-mstyle {\n display: inline-block;\n}\n\nmjx-merror {\n display: inline-block;\n color: red;\n background-color: yellow;\n}\n\nmjx-mphantom {\n visibility: hidden;\n}\n\n_::-webkit-full-page-media, _:future, :root mjx-container {\n will-change: opacity;\n}\n\nmjx-math {\n display: inline-block;\n text-align: left;\n line-height: 0;\n text-indent: 0;\n font-style: normal;\n font-weight: normal;\n font-size: 100%;\n font-size-adjust: none;\n letter-spacing: normal;\n border-collapse: collapse;\n word-wrap: normal;\n word-spacing: normal;\n white-space: nowrap;\n direction: ltr;\n padding: 1px 0;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"] {\n display: block;\n text-align: center;\n margin: 1em 0;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"][width=\"full\"] {\n display: flex;\n}\n\nmjx-container[jax=\"CHTML\"][display=\"true\"] mjx-math {\n padding: 0;\n}\n\nmjx-container[jax=\"CHTML\"][justify=\"left\"] {\n text-align: left;\n}\n\nmjx-container[jax=\"CHTML\"][justify=\"right\"] {\n text-align: right;\n}\n\nmjx-mo {\n display: inline-block;\n text-align: left;\n}\n\nmjx-stretchy-h {\n display: inline-table;\n width: 100%;\n}\n\nmjx-stretchy-h > * {\n display: table-cell;\n width: 0;\n}\n\nmjx-stretchy-h > * > mjx-c {\n display: inline-block;\n transform: scalex(1.0000001);\n}\n\nmjx-stretchy-h > * > mjx-c::before {\n display: inline-block;\n width: initial;\n}\n\nmjx-stretchy-h > mjx-ext {\n /* IE */ overflow: hidden;\n /* others */ overflow: clip visible;\n width: 100%;\n}\n\nmjx-stretchy-h > mjx-ext > mjx-c::before {\n transform: scalex(500);\n}\n\nmjx-stretchy-h > mjx-ext > mjx-c {\n width: 0;\n}\n\nmjx-stretchy-h > mjx-beg > mjx-c {\n margin-right: -.1em;\n}\n\nmjx-stretchy-h > mjx-end > mjx-c {\n margin-left: -.1em;\n}\n\nmjx-stretchy-v {\n display: inline-block;\n}\n\nmjx-stretchy-v > * {\n display: block;\n}\n\nmjx-stretchy-v > mjx-beg {\n height: 0;\n}\n\nmjx-stretchy-v > mjx-end > mjx-c {\n display: block;\n}\n\nmjx-stretchy-v > * > mjx-c {\n transform: scaley(1.0000001);\n transform-origin: left center;\n overflow: hidden;\n}\n\nmjx-stretchy-v > mjx-ext {\n display: block;\n height: 100%;\n box-sizing: border-box;\n border: 0px solid transparent;\n /* IE */ overflow: hidden;\n /* others */ overflow: visible clip;\n}\n\nmjx-stretchy-v > mjx-ext > mjx-c::before {\n width: initial;\n box-sizing: border-box;\n}\n\nmjx-stretchy-v > mjx-ext > mjx-c {\n transform: scaleY(500) translateY(.075em);\n overflow: visible;\n}\n\nmjx-mark {\n display: inline-block;\n height: 0px;\n}\n\nmjx-c {\n display: inline-block;\n}\n\nmjx-utext {\n display: inline-block;\n padding: .75em 0 .2em 0;\n}\n\nmjx-mi {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mrow {\n display: inline-block;\n text-align: left;\n}\n\nmjx-msqrt {\n display: inline-block;\n text-align: left;\n}\n\nmjx-root {\n display: inline-block;\n white-space: nowrap;\n}\n\nmjx-surd {\n display: inline-block;\n vertical-align: top;\n}\n\nmjx-sqrt {\n display: inline-block;\n padding-top: .07em;\n}\n\nmjx-sqrt > mjx-box {\n border-top: .07em solid;\n}\n\nmjx-sqrt.mjx-tall > mjx-box {\n padding-left: .3em;\n margin-left: -.3em;\n}\n\nmjx-mn {\n display: inline-block;\n text-align: left;\n}\n\nmjx-mtable {\n display: inline-block;\n text-align: center;\n vertical-align: .25em;\n position: relative;\n box-sizing: border-box;\n border-spacing: 0;\n border-collapse: collapse;\n}\n\nmjx-mstyle[size=\"s\"] mjx-mtable {\n vertical-align: .354em;\n}\n\nmjx-labels {\n position: absolute;\n left: 0;\n top: 0;\n}\n\nmjx-table {\n display: inline-block;\n vertical-align: -.5ex;\n box-sizing: border-box;\n}\n\nmjx-table > mjx-itable {\n vertical-align: middle;\n text-align: left;\n box-sizing: border-box;\n}\n\nmjx-labels > mjx-itable {\n position: absolute;\n top: 0;\n}\n\nmjx-mtable[justify=\"left\"] {\n text-align: left;\n}\n\nmjx-mtable[justify=\"right\"] {\n text-align: right;\n}\n\nmjx-mtable[justify=\"left\"][side=\"left\"] {\n padding-right: 0 ! important;\n}\n\nmjx-mtable[justify=\"left\"][side=\"right\"] {\n padding-left: 0 ! important;\n}\n\nmjx-mtable[justify=\"right\"][side=\"left\"] {\n padding-right: 0 ! important;\n}\n\nmjx-mtable[justify=\"right\"][side=\"right\"] {\n padding-left: 0 ! important;\n}\n\nmjx-mtable[align] {\n vertical-align: baseline;\n}\n\nmjx-mtable[align=\"top\"] > mjx-table {\n vertical-align: top;\n}\n\nmjx-mtable[align=\"bottom\"] > mjx-table {\n vertical-align: bottom;\n}\n\nmjx-mtable[side=\"right\"] mjx-labels {\n min-width: 100%;\n}\n\nmjx-mtr {\n display: table-row;\n text-align: left;\n}\n\nmjx-mtr[rowalign=\"top\"] > mjx-mtd {\n vertical-align: top;\n}\n\nmjx-mtr[rowalign=\"center\"] > mjx-mtd {\n vertical-align: middle;\n}\n\nmjx-mtr[rowalign=\"bottom\"] > mjx-mtd {\n vertical-align: bottom;\n}\n\nmjx-mtr[rowalign=\"baseline\"] > mjx-mtd {\n vertical-align: baseline;\n}\n\nmjx-mtr[rowalign=\"axis\"] > mjx-mtd {\n vertical-align: .25em;\n}\n\nmjx-mtd {\n display: table-cell;\n text-align: center;\n padding: .215em .4em;\n}\n\nmjx-mtd:first-child {\n padding-left: 0;\n}\n\nmjx-mtd:last-child {\n padding-right: 0;\n}\n\nmjx-mtable > * > mjx-itable > *:first-child > mjx-mtd {\n padding-top: 0;\n}\n\nmjx-mtable > * > mjx-itable > *:last-child > mjx-mtd {\n padding-bottom: 0;\n}\n\nmjx-tstrut {\n display: inline-block;\n height: 1em;\n vertical-align: -.25em;\n}\n\nmjx-labels[align=\"left\"] > mjx-mtr > mjx-mtd {\n text-align: left;\n}\n\nmjx-labels[align=\"right\"] > mjx-mtr > mjx-mtd {\n text-align: right;\n}\n\nmjx-mtd[extra] {\n padding: 0;\n}\n\nmjx-mtd[rowalign=\"top\"] {\n vertical-align: top;\n}\n\nmjx-mtd[rowalign=\"center\"] {\n vertical-align: middle;\n}\n\nmjx-mtd[rowalign=\"bottom\"] {\n vertical-align: bottom;\n}\n\nmjx-mtd[rowalign=\"baseline\"] {\n vertical-align: baseline;\n}\n\nmjx-mtd[rowalign=\"axis\"] {\n vertical-align: .25em;\n}\n\nmjx-mfrac {\n display: inline-block;\n text-align: left;\n}\n\nmjx-frac {\n display: inline-block;\n vertical-align: 0.17em;\n padding: 0 .22em;\n}\n\nmjx-frac[type=\"d\"] {\n vertical-align: .04em;\n}\n\nmjx-frac[delims] {\n padding: 0 .1em;\n}\n\nmjx-frac[atop] {\n padding: 0 .12em;\n}\n\nmjx-frac[atop][delims] {\n padding: 0;\n}\n\nmjx-dtable {\n display: inline-table;\n width: 100%;\n}\n\nmjx-dtable > * {\n font-size: 2000%;\n}\n\nmjx-dbox {\n display: block;\n font-size: 5%;\n}\n\nmjx-num {\n display: block;\n text-align: center;\n}\n\nmjx-den {\n display: block;\n text-align: center;\n}\n\nmjx-mfrac[bevelled] > mjx-num {\n display: inline-block;\n}\n\nmjx-mfrac[bevelled] > mjx-den {\n display: inline-block;\n}\n\nmjx-den[align=\"right\"], mjx-num[align=\"right\"] {\n text-align: right;\n}\n\nmjx-den[align=\"left\"], mjx-num[align=\"left\"] {\n text-align: left;\n}\n\nmjx-nstrut {\n display: inline-block;\n height: .054em;\n width: 0;\n vertical-align: -.054em;\n}\n\nmjx-nstrut[type=\"d\"] {\n height: .217em;\n vertical-align: -.217em;\n}\n\nmjx-dstrut {\n display: inline-block;\n height: .505em;\n width: 0;\n}\n\nmjx-dstrut[type=\"d\"] {\n height: .726em;\n}\n\nmjx-line {\n display: block;\n box-sizing: border-box;\n min-height: 1px;\n height: .06em;\n border-top: .06em solid;\n margin: .06em -.1em;\n overflow: hidden;\n}\n\nmjx-line[type=\"d\"] {\n margin: .18em -.1em;\n}\n\nmjx-semantics {\n display: inline-block;\n text-align: left;\n}\n\nmjx-msup {\n display: inline-block;\n text-align: left;\n}\n\nmjx-TeXAtom {\n display: inline-block;\n text-align: left;\n}\n\nmjx-c::before {\n display: block;\n width: 0;\n}\n\n.MJX-TEX {\n font-family: MJXZERO, MJXTEX;\n}\n\n.TEX-B {\n font-family: MJXZERO, MJXTEX-B;\n}\n\n.TEX-I {\n font-family: MJXZERO, MJXTEX-I;\n}\n\n.TEX-MI {\n font-family: MJXZERO, MJXTEX-MI;\n}\n\n.TEX-BI {\n font-family: MJXZERO, MJXTEX-BI;\n}\n\n.TEX-S1 {\n font-family: MJXZERO, MJXTEX-S1;\n}\n\n.TEX-S2 {\n font-family: MJXZERO, MJXTEX-S2;\n}\n\n.TEX-S3 {\n font-family: MJXZERO, MJXTEX-S3;\n}\n\n.TEX-S4 {\n font-family: MJXZERO, MJXTEX-S4;\n}\n\n.TEX-A {\n font-family: MJXZERO, MJXTEX-A;\n}\n\n.TEX-C {\n font-family: MJXZERO, MJXTEX-C;\n}\n\n.TEX-CB {\n font-family: MJXZERO, MJXTEX-CB;\n}\n\n.TEX-FR {\n font-family: MJXZERO, MJXTEX-FR;\n}\n\n.TEX-FRB {\n font-family: MJXZERO, MJXTEX-FRB;\n}\n\n.TEX-SS {\n font-family: MJXZERO, MJXTEX-SS;\n}\n\n.TEX-SSB {\n font-family: MJXZERO, MJXTEX-SSB;\n}\n\n.TEX-SSI {\n font-family: MJXZERO, MJXTEX-SSI;\n}\n\n.TEX-SC {\n font-family: MJXZERO, MJXTEX-SC;\n}\n\n.TEX-T {\n font-family: MJXZERO, MJXTEX-T;\n}\n\n.TEX-V {\n font-family: MJXZERO, MJXTEX-V;\n}\n\n.TEX-VB {\n font-family: MJXZERO, MJXTEX-VB;\n}\n\nmjx-stretchy-v mjx-c, mjx-stretchy-h mjx-c {\n font-family: MJXZERO, MJXTEX-S1, MJXTEX-S4, MJXTEX, MJXTEX-A ! important;\n}\n\n@font-face /* 0 */ {\n font-family: MJXZERO;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff\") format(\"woff\");\n}\n\n@font-face /* 1 */ {\n font-family: MJXTEX;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 2 */ {\n font-family: MJXTEX-B;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 3 */ {\n font-family: MJXTEX-I;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 4 */ {\n font-family: MJXTEX-MI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 5 */ {\n font-family: MJXTEX-BI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-BoldItalic.woff\") format(\"woff\");\n}\n\n@font-face /* 6 */ {\n font-family: MJXTEX-S1;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size1-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 7 */ {\n font-family: MJXTEX-S2;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size2-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 8 */ {\n font-family: MJXTEX-S3;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size3-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 9 */ {\n font-family: MJXTEX-S4;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size4-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 10 */ {\n font-family: MJXTEX-A;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_AMS-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 11 */ {\n font-family: MJXTEX-C;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 12 */ {\n font-family: MJXTEX-CB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 13 */ {\n font-family: MJXTEX-FR;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 14 */ {\n font-family: MJXTEX-FRB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 15 */ {\n font-family: MJXTEX-SS;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 16 */ {\n font-family: MJXTEX-SSB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Bold.woff\") format(\"woff\");\n}\n\n@font-face /* 17 */ {\n font-family: MJXTEX-SSI;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Italic.woff\") format(\"woff\");\n}\n\n@font-face /* 18 */ {\n font-family: MJXTEX-SC;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Script-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 19 */ {\n font-family: MJXTEX-T;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Typewriter-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 20 */ {\n font-family: MJXTEX-V;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Regular.woff\") format(\"woff\");\n}\n\n@font-face /* 21 */ {\n font-family: MJXTEX-VB;\n src: url(\"https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Bold.woff\") format(\"woff\");\n}\n\nmjx-c.mjx-c7C::before {\n padding: 0.75em 0.278em 0.249em 0;\n content: \"|\";\n}\n\nmjx-c.mjx-c1D434.TEX-I::before {\n padding: 0.716em 0.75em 0 0;\n content: \"A\";\n}\n\nmjx-c.mjx-c1D435.TEX-I::before {\n padding: 0.683em 0.759em 0 0;\n content: \"B\";\n}\n\nmjx-c.mjx-c3D::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"=\";\n}\n\nmjx-c.mjx-c1D436.TEX-I::before {\n padding: 0.705em 0.76em 0.022em 0;\n content: \"C\";\n}\n\nmjx-c.mjx-c1D437.TEX-I::before {\n padding: 0.683em 0.828em 0 0;\n content: \"D\";\n}\n\nmjx-c.mjx-c221A::before {\n padding: 0.8em 0.853em 0.2em 0;\n content: \"\\221A\";\n}\n\nmjx-c.mjx-c32::before {\n padding: 0.666em 0.5em 0 0;\n content: \"2\";\n}\n\nmjx-c.mjx-c2B::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"+\";\n}\n\nmjx-c.mjx-c31::before {\n padding: 0.666em 0.5em 0 0;\n content: \"1\";\n}\n\nmjx-c.mjx-c1D45F.TEX-I::before {\n padding: 0.442em 0.451em 0.011em 0;\n content: \"r\";\n}\n\nmjx-c.mjx-c22C5::before {\n padding: 0.31em 0.278em 0 0;\n content: \"\\22C5\";\n}\n\nmjx-c.mjx-c28::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29::before {\n padding: 0.75em 0.389em 0.25em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c4F::before {\n padding: 0.705em 0.778em 0.022em 0;\n content: \"O\";\n}\n\nmjx-c.mjx-c45::before {\n padding: 0.68em 0.681em 0 0;\n content: \"E\";\n}\n\nmjx-c.mjx-c44::before {\n padding: 0.683em 0.764em 0 0;\n content: \"D\";\n}\n\nmjx-c.mjx-c1D445.TEX-I::before {\n padding: 0.683em 0.759em 0.021em 0;\n content: \"R\";\n}\n\nmjx-c.mjx-c1D70B.TEX-I::before {\n padding: 0.431em 0.57em 0.011em 0;\n content: \"\\3C0\";\n}\n\nmjx-c.mjx-c2212::before {\n padding: 0.583em 0.778em 0.082em 0;\n content: \"\\2212\";\n}\n\nmjx-c.mjx-c28.TEX-S1::before {\n padding: 0.85em 0.458em 0.349em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S1::before {\n padding: 0.85em 0.458em 0.349em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c28.TEX-S2::before {\n padding: 1.15em 0.597em 0.649em 0;\n content: \"(\";\n}\n\nmjx-c.mjx-c29.TEX-S2::before {\n padding: 1.15em 0.597em 0.649em 0;\n content: \")\";\n}\n\nmjx-c.mjx-c33::before {\n padding: 0.665em 0.5em 0.022em 0;\n content: \"3\";\n}\n\nmjx-c.mjx-c34::before {\n padding: 0.677em 0.5em 0 0;\n content: \"4\";\n}\n","actionData","errors"]

Komentarze

Przeglądana książka

Moje książki

Kup PREMIUM i zyskaj!