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The problems span domains, inverse trigonometric notation, series convergence, Riemann-sum estimation from given tables, Taylor-series coefficients, separable differential equations, tangent-line intersections, differential-equation modeling, and applications of slope fields and initial conditions. Additional tasks cover Euler’s method, Maclaurin series forms, and qualitative limit behavior.",{"@graph":69,"@context":122},[70,84,105],{"@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-calculus-bc-no-calculator-allowed-answer-and-solve/456655/",{"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-calculus-bc-no-calculator-allowed-answer-and-solve/456655.png","ImageObject",300,407,{"name":92,"@type":93},"pop out","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the time and question counts for Section I, Part A?","Question",{"text":112,"@type":113},"Section I, Part A has 55 minutes and 28 questions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are calculators allowed in Part A?",{"text":117,"@type":113},"No calculator is allowed in this test (Part A states “No Calculator Allowed”).",{"name":119,"@type":110,"acceptedAnswer":120},"How should students handle scratch work and answer choices?",{"text":121,"@type":113},"Use available space for scratch work, select the best choice after examining the forms of the options, and fill in the corresponding oval on the answer sheet; no credit is given for work written in the test book.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},456655,1791092449,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":36},962090760408,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","PART FOUR:PRACTICE TESTS  \n566  \nPRACTICE TEST 3:CALCULUS BC  \nNo Calculator Allowed  \nIn this test:  \n   \n1.f(x)=sin(x²+1).Compute f(x)(A)(2x+1)cos(x²+1)(B)2xcos(x²+1)(C)2xsin(x²+1)(D)cos(x²+1)(E)sin(x²+1)cos(x²+1)  \n# PRACTICE TEST 3:CALCULUS BC\n\n## SECTION I,PART A\n\nTime:55 Minutes  \n28 Questions  \nNote:Part A and Part B of Section I combined count for 50 percent of your exam grade.  \n\n| Directions:Solve the following problems,using available space for scratchwork.After examining the  \u003Cbr>form of the choices,decide which one is the best of the choices given and fill in the corresponding  \u003Cbr>oval on the answer sheet.No credit will be given for anything written in the test book.Do not spend  \u003Cbr>too much time on any one problem.   |\n| --- |\n\nNote:On the actual test,no credit is given for anything written in the test book,nor is scrap paper provided.  \n(1)The domain of afunction f is the set ofall real numbers x for whichf(x)is a real number,unlessotherwise specified.  \n(2)The inverse of a trigonometric functionfmay be indicated using the inverse function notation for withthe prefix“arc”(e.g.,sin⁻¹x=arcsin x).  \n2.  \n(A)2x·f(x²)(B)f(x²)(C)g(x²)(D)2x·g(x)(E)2x·g(x²)  \n3.For what values of pdoes the following seriesconverge?(A)p>0(B)p≥1(C)p>2(D)(E)The series converges for all p.  \n4.Below is a table ofvalues forf.EstimateJf(x)dx by using a right Riemann sumover the intervals [1,6],[6,8],and [8,12].(A)、201(B)236(C)276(D).281(E)302  \n\n| x   | 1   | 6   | 8   | 12   |\n| --- | --- | --- | --- | --- |\n| f(x)   | 21   | 15   | 29   | 37   |\n\n5.The Taylor series.for sinxcentered at x=0.What is thecoefficient of x³in the Taylor series for xsinx²centered atx=0?(A)1(B)(C)(D)(E)  \n6.Solve the separable differential equation(A)y=ln(sin(x²))+C(B)y²=2sin(x²)+C(C)·y=Cecos(x²)(D)y=esin(x²)+.C(E).y=Cesin(x²)  \n7.A curve is given by the equation g(x)=x³-2x+1.At what point does the tangent to thecurve at(2,5)intersect the line y=x-5?(A)(1,-4)(B)(C)(D)(E)The two lines do not intersect.  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \nGO ON TO THE NEXT PAGE  \n   \n9.Aspherical balloon is inflating at a rate thatis directly proportional to the square of itsradius.Which differential equation describesthis?(A)(B)(D)(E)  \n10.Which of the following integrals gives the areaof the shaded region?  \n(A)  \nB  \n(C)  \n(D)  \n(E)  \n11.  \n(A)2xcos(x²)(B)2x³cos(x⁶)(C)sin(x⁶)(D)3x²sin(x⁶)(E)2x³sin(x⁶)  \n12.  \n(A)∞  \n(B)2  \n(C)  \n(D)0  \n(E)  \n13.Ford is water-skiing around Cartesian Lake,towed by a motorboat that is following a pathparameterized by the equations  \ny(t)=t³+3t²+4  \nx(t)=2t²+2  \nAt time t=2 Ford lets go and continues in astraight line.What is the slope of that line?  \n(A)3  \n(B)2  \n(C)1  \n(D)  \n(E)  \n(B)  \n(C)  \n(D)In|x(x+1)|+C  \n(E)3ln|x+1|+In|x|+C  \n15.  \n\n| X   | 3   | 6   | 7   | 12   | 17   |\n| --- | --- | --- | --- | --- | --- |\n| f(x)   | 3   | -1   | -2   | 5   | 14   |\n\nThe table above gives some values of acontinuous function f.Which of the followingmust be true?  \n(A)fis differentiable.  \n(B)For some 3≤x≤12,f'(x)=0.  \n(C)f(x)≤14  \n(D)fhas exactly one zero.  \n(E)fhas at least two zeros.  \n16.Which of the following sequences converge?  \nI  \nII.  \nIII.  \n(A)I only  \n(B)II only  \n(C)I and II  \n(D)II and III  \n(E)I,II,and III  \nPART FOUR:PRACTICE TESTS  \nPRACTICE TEST 3:CALCULUS BC  \n19.Which of the following differential equationscould be described by the given vector(slope)field?  \n17.Compute  \n(A)-1  \n(B)1  \n(C)3  \n(D)  \n(E)undefined  \n18.Compute Jxe-3×d.3e³²+C(A)(B)(C)(D)(E)  \n(A)y=x  \n(B)y'=xy  \n(C)y=x²y  \n(D)  \n20.A population of voles is described by thedifferential equation  \nwith initial conditionP(0)=a.For which values of a will(A)a=0(B)a=400(C)a≥400(D)0≤a≤400(E)a>0  \n21.  \nf(x)  \nThe graph of fis given above.  \n(A)1  \n(B)2  \n(C)3  \n(D)4  \n(E)5  \n22.What is the coefficient of x²in the Taylorexpansion of ln(3x²+1)centered x=0?(A)6(B)3(C)(D)0(E)  \n23.The slope field below describes a differentialequation.If y(x)is a solution to thatdifferential equation sa","cbCaifqFVMZ59nLd","https://ap.wps.com/l/cbCaifqFVMZ59nLd","pdf",3303768,16,"English","# Practice Test 3: Calculus BC\n## Section I, Part A\n## Section I, Part B","[{\"question\":\"What are the time and question counts for Section I, Part A?\",\"answer\":\"Section I, Part A has 55 minutes and 28 questions.\"},{\"question\":\"Are calculators allowed in Part A?\",\"answer\":\"No calculator is allowed in this test (Part A states “No Calculator Allowed”).\"},{\"question\":\"How should students handle scratch work and answer choices?\",\"answer\":\"Use available space for scratch work, select the best choice after examining the forms of the options, and fill in the corresponding oval on the answer sheet; no credit is given for work written in the test book.\"}]","Practice Test 3 - Calculus BC - No Calculator Allowed - Answer and Solve | PDF",1790746605]