[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314755-105":59,"doc-detail-314755-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","practice-test-3-ap-calculus-bc","Practice Test 3 - AP Calculus BC","","Practice Test 3 for AP Calculus BC, organized into two exam sections with strict timing and calculator rules. Section I, Part A includes multiple-choice questions on function behavior, parametric geometry, monotonicity, tangency, inflection points, absolute extrema, rates of change, arc length, Taylor polynomials, and series approximations. Section I, Part B continues with questions requiring graphing calculator use for some items, including Taylor series evaluations, vector-valued differentiation, related rates, continuity conditions, integrals between curves, and related calculus concepts.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/practice-test-3-ap-calculus-bc/314755/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/practice-test-3-ap-calculus-bc/314755.png","ImageObject",300,407,{"name":92,"@type":93},"Asher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",22,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What calculator rule applies to Section I, Part A?","Question",{"text":113,"@type":114},"A calculator may not be used for Section I, Part A.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is Section I, Part B different in calculator requirements?",{"text":118,"@type":114},"A graphing calculator is required for some questions in Section I, Part B.",{"name":120,"@type":111,"acceptedAnswer":121},"What problem topics are covered across the practice test?",{"text":122,"@type":114},"The questions cover topics such as derivatives and tangents, inflection and extrema, parametric curves and arc length, Taylor polynomials/series, integrals between curves, and related rates.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},314755,1789961887,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":105,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","# Practice Test 3:APCalculus BC\n\n## SECTION I,PART A\n\n55 Minutes·28 Questions  \nA CALCULATOR MAY NOT BE USED FOR THIS PART OF THE EXAMINATION.  \nDirections:Solve each of the following problems,using the availablespace for scratchwork.After examining the form of the choices,decidewhich is the best of the choices given and fill in the corresponding oval onthe answer sheet.No credit will be given for anything written in the testbook.Do not spend too much time on any one problem.  \nIn this test:Unless otherwise specified,the domain of a function fisassumed to be the set of all real numbers x for which f(x)is a realnumber.  \n1.The function fis given by f(x)=3x⁴-2x³+7x-2.On which ofthe following intervals is f de-creasing?(A)(-∞,c)(B)(-∞,0)(C)(E)  \npractice test 3  \n2.What is the area under thecurve described by the paramet-ric equations x=sint and y=cos²t for(A)(C)(D)1(E)  \n3.The function fis given by f(x)=8x³+36x²+54x+27.All of these state- ments are true EXCEPT  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)fis strictly monotonic.  \n4.  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n5.Let h(x)=In|g(x)|.If g is decreasingfor all xin its domain,then  \n(A)his strictly increasing.  \n(B)his strictly decreasing.  \n(C)h has no relative extrema.  \n(D)both (B)and (C).  \n(E)none of the above.  \nQUESTIONS 6,7,AND 8 REFER TO THE DIAGRAM AND INFORMATION BELOW.  \nThe function f is defined on [0,7].Thegraph of its derivative,f,is shown above.  \n6.The point (2,5)is on the graph of y=f(x).An equation of the line tangentto the graph of fat (2,5)is(A)y=2(B)y=5(C)y=0(D)y=2x+5(E)y=2x-5  \n7.How many points of inflection doesthe graph y=f(x)have over [0,7]?(A)0(B)1(C)2(D)3(E)4  \n8.At what value of x does the absolutemaximum value of foccur?(A)1(B)2(C)4(D)6(E)7  \nPractice Test 3:AP Calculus BC  \n9.  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n10.The function f given by f(x)=3x⁵-4x³-3x is increasing and concaveup over which of these intervals?(A)(B)(C)(-1,1)(D)(E)(1,∞)  \n11.If y=2xy-x²+3,then when x=1,(A)-6(B)-2(C)(D)2(E)6  \n12.The length of the curve described bythe parametric equations x=2t andy=t where 0≤t≤1 is(A)(B)(C)(D)√5(E)3  \n13.What is the average value of f(x)=3sin²x-cos²x over [0,]?(A)0(B)1(C)√2(D)√3(E)  \nPART IⅢ:Four Practice Tests  \n14.Let fbe defined as  \nfor some constant k.For what valueof k will f be differentiable over itswhole domain?  \n(A)-2  \n(B)-1  \n(C)  \n(D)1  \n(E)None of the above  \n15.What is the approximation of thevalue of e³obtained by using afourth-degree Taylor polynomialabout x=0 for e*?  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n16.  \n(A)e³×(9x³-9x²+6x-2)+C  \n(C)  \n(D)  \n(E)  \n17.If f(x)=secx,then f(x)has howmany zeros over the closed interval  \n[0,2π]?(A)0(B)1(C)2(D)3(E)4  \n18.Consider the region in the first quad-rant bounded by y=x²over [0,3].Let L₃represent the Riemann ap-proximation of the area of this regionusing left endpoints and three rect-angles,R₃represent the Riemannapproximation using right endpointsand three rectangles,M₃representthe Riemann approximation usingmidpoints and three rectangles,andT₃represent the trapezoidal approxi-mation with three trapezoids.Whichof the following statements is true?  \nPractice Test 3:AP Calculus BC  \n19.Which of the following series con-verge?(A)I only(B)II only(C)III only(D)I and II(E)I and III  \n20.The area of the region inside the po-lar curve r=4sinθ but outside thepolar curve r=2√2 is given by(A)(C)(D)(E)  \n21.When x=16,the rate at which x³4isincreasing is k times the rate atwhich√xis increasing.What is thevalue of k?(A)(B)(C)2(D)3(E)8  \n22.The length of the path described bythe parametric equations x=2cos2tand y=sin²t for 0≤t≤π is given by  \n(A)  \n(E)  \n23.Determine the interval of conver-gence for the series(A)(B)(C)(D)(E)  \nPART IⅢ:Four Practice Tests  \nhas a horizontal  \nasymptote at x=  \n(A)  \n(B)  \n(C)0  \n(D)  \n(E)None of the above  \n25.  \nShown above is the slope field forwhich of the following differentialequations?  \n(B)  \n(C)  \n(D)  \n(E)  \nEND OF SECTION I,PART A.IF YOU HAVE ANY TIME LEFT,GO OVERSTOP  \n(B)10e²  \n(C)  \n","cbCaijeXRf51ugM6","https://ap.wps.com/l/cbCaijeXRf51ugM6","pdf",4972710,"English","# SECTION I, PART A\n## SECTION I, PART B","[{\"question\":\"What calculator rule applies to Section I, Part A?\",\"answer\":\"A calculator may not be used for Section I, Part A.\"},{\"question\":\"How is Section I, Part B different in calculator requirements?\",\"answer\":\"A graphing calculator is required for some questions in Section I, Part B.\"},{\"question\":\"What problem topics are covered across the practice test?\",\"answer\":\"The questions cover topics such as derivatives and tangents, inflection and extrema, parametric curves and arc length, Taylor polynomials/series, integrals between curves, and related rates.\"}]","Practice Test 3 - AP Calculus BC | PDF",1789901759,55]