[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-460869-105":59,"doc-detail-460869-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-4-ap-calculus-bc","Practice Test 4 - AP Calculus BC","","Practice Test 4: AP Calculus BC contains timed multiple-choice questions covering core AP Calculus BC topics. The test includes instructions on solving with available scratch space, limitations on calculator use for Part A, and guidance for selecting the best answer among choices. Question sets reference function behavior using derivatives, tangent lines, local extrema, inflection points, and approximations via Taylor polynomials. Later questions include trapezoidal rule approximation, parametric motion and slope fields, definite integrals for volumes, and vector-valued functions with derivatives.",{"@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-4-ap-calculus-bc/460869/",{"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-4-ap-calculus-bc/460869.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How long is Section I, Part A, and is a calculator allowed?","Question",{"text":113,"@type":114},"Section I, Part A is 55 minutes with 28 questions, and a calculator may not be used for this part of the examination.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What kind of problems are included in the practice test?",{"text":118,"@type":114},"The test includes multiple-choice questions on derivatives (including local minima), tangent lines, inflection points, Taylor polynomial approximations, and applications such as trapezoidal rule estimates and volumes of solids of revolution.",{"name":120,"@type":111,"acceptedAnswer":121},"What additional exam conditions apply to Section I, Part B?",{"text":122,"@type":114},"Section I, Part B is 50 minutes with 17 questions and requires a graphing calculator for some questions, with guidance on selecting the closest approximation when the exact value is not among the choices.","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},460869,1790792358,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","# Practice Test 4:APCalculus BC\n\npractice test 4  \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.  \n(A)  \n(A)2e²t  \n(B)  \n(B)  \n8  \n(C)  \n(C)te²ᵗ  \n(D)  \n(D)2te²t  \n38  \n(E)  \n3.The function  \nhas a local minimum at x=(A)(B)1(C)2(D)7(E)None of the above  \nPART IⅢ:Four Practice Tests  \n5.If  \n,then f'(π)=  \n(A)-e²xtan e  \n(A)  \n(B)π²  \n(C)  \n(C)e²xtan e  \n(D)-1  \n(D)-e²xtan eˣ+eˣIn (cos e)  \n(E)0  \n(E)e×(e*tan eˣ+In (cos e))  \n6.  \nThe graph of y=h(x)is shown above.Which of the following could be the graphof h'(x)?  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \nPractice Test 4:AP Calculus BC  \nQUESTIONS 7 THROUGH 9 REFER TO THE 10.If 6x²+3y-2xy²=3,then when  \nFOLLOWING GRAPH ANDINFORMATION.  \nx=0,  \n(A)  \n(B)  \n(C)1  \nThe function f is defined on the closedinterval [0,6].The graph of the derivativef'is shown above.  \n(D)  \n(E)  \n7.The point (3,2)is on the graph of y=f(x).An equation for the line tangentto the graph of fat (3,2)is(A)y=-2x+4.(B)y=2x-4.(C)y+2=-2(x+3).(D)y-2=-2(x-3).(E)y=2.  \n11.  \n(A)  \n(B)  \n8.At what value of x does the absoluteminimum value of foccur?(A)0(B)2(C)3(D)4(E)6  \n(C)  \n(D)1+In 3  \n(E)It is divergent.  \n12.  \n(A)xtanx-  \n(B)xtanx+In |secx +C  \n(C)xtanx-In |cos x +C  \n(D)xtanx+In |cos x|+C  \n(E)xtanx-In sec x+tan x|+C  \n13.(A)(B)0(C)2(D)6(E)It is nonexistent.  \n9.How many points of inflection doesthe graph of fhave?(A)Two(B)Three(C)Four(D)Five(E)Six  \n14.What is the approximation of the value of cos 2 obtained by using the sixth-degree Taylor polynomial about x=0for cosx?  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n15.Which of the following sequence(s)converges?II.III.(A)I only(B)II only(C)III only(D)I and II(E)I,II,and III  \n工  \n16.A particle moves on a plane curve sothat at any time t>0 its position isdefined by the parametric equationsx(t)=3t²-7 and.Theacceleration vector of the particle att=2 is(A)(B)(C)(D)(E)  \n17.  \nShown above is the slope field forwhich of the following differentialequations?  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n18.  \n19.  \n(A)0.  \n(B)2.  \n(C)4.  \n(D)8.  \n(E)nonexistent.  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n(A)  \n(B)  \n(C)8√3  \n(D)4√3  \n(E)  \n## Practice Test 4:AP Calculus BC\n\n21.What is the instantaneous rate ofchange of the derivative of the func-tion f(x)=In x²when x=3?  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)In 9  \n22.(A)-7(B)0(C)(D)2(E)It is nonexistent.  \n(A)-2xsecx²sinx²  \n(B)2xsecx²tan x²cosx²  \n(C)-1  \n(D)0  \n(E)1  \n24.What is the approximation of thearea under y=x²-2x+1 for 0≤x≤4 using the trapezoidal rule with4 subintervals?(A)(B)8(C)(D)10(E)16  \n## PART IⅢ:Four Practice Tests\n\n25.Let f be the function given by the 27.first four nonzero terms of the Ma-claurin polynomial used to approxi-mate the value of e.Determine thearea bounded by the graph and thex-axis for 0≤x≤2.(A)4(C)5(D)6(E)  \n27.  \n26.  \nThe graph of a twice-differentiablefunction fis shown in the above fig-ure.Which of the following is true?  \n(A)P(2)\u003Cf(2)\u003CP'(2)  \n(B)f(2)\u003Cf(2)\u003Cf'(2)  \n(C)P'(2)\u003Cf(2)\u003Cf(2)  \n(D)f’(2)\u003Cf(2)\u003Cf(2)  \n(E)f(2)\u003C'(2)\u003Cf(2)  \nSTOP  \n(B)e³-e  \n(C)2e(e²-1)  \n(D)2e³  \n(E)  \n28.28.The length of the path described bythe parametric equationsand y=1t³,where 0≤t≤2,is(A)  \nEND OF SECTION I,PART A.IF YOU HAVE ANY TIME LEFT,GO OVERYOUR WORK IN THIS PART ONLY.DO NOT WORK IN ANY OTHER PARTOF THE TEST.  \nPractice Test 4:AP Calculus BC  \n## SECTION I,PART B\n\n50 Minutes·17 Questions  \nA GRAPHING CALCULATOR IS REQUIRED FOR SOME QUESTIONS IN THIS PART OFTHE EXAMINATION.  \nDirections:Solve each of the following proble","cbCaiudCdX58EPEv","https://ap.wps.com/l/cbCaiudCdX58EPEv","pdf",5010050,23,"English","# SECTION I, PART A\n## Instructions and foundational derivative concepts\n# SECTION I, PART B\n## Calculator-required applications\n## Differential equations, integrals, and approximation questions","[{\"question\":\"How long is Section I, Part A, and is a calculator allowed?\",\"answer\":\"Section I, Part A is 55 minutes with 28 questions, and a calculator may not be used for this part of the examination.\"},{\"question\":\"What kind of problems are included in the practice test?\",\"answer\":\"The test includes multiple-choice questions on derivatives (including local minima), tangent lines, inflection points, Taylor polynomial approximations, and applications such as trapezoidal rule estimates and volumes of solids of revolution.\"},{\"question\":\"What additional exam conditions apply to Section I, Part B?\",\"answer\":\"Section I, Part B is 50 minutes with 17 questions and requires a graphing calculator for some questions, with guidance on selecting the closest approximation when the exact value is not among the choices.\"}]","Practice Test 4 - AP Calculus BC | PDF",1790759907,58]