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Part A does not allow calculators, while Part B includes 17 questions and requires a graphing calculator for some items. The document provides directions for solving problems, including using available scratch space, selecting the best answer after examining choices, and filling in the corresponding answer-sheet circle. It also states rules about function domains, inverse trigonometric notation, and includes multiple sample questions covering derivatives, integrals, series, Taylor polynomials, and Riemann sum volume approximations.",{"@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/calculus-bc-part-a-sample-multiple-choice-questions-directions/460866/",{"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/calculus-bc-part-a-sample-multiple-choice-questions-directions/460866.png","ImageObject",300,407,{"name":92,"@type":93},"\tJames","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How many multiple-choice questions are in Section I, Part A, and is a calculator allowed?","Question",{"text":112,"@type":113},"Section I, Part A contains 28 multiple-choice questions, and a calculator may not be used on this part of the exam.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What should you do when solving problems in Part A?",{"text":117,"@type":113},"Solve each problem using the available space for scratch work, choose the best option after examining the choices, and fill in the corresponding circle on the answer sheet.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can you find the answers to the sample questions?",{"text":121,"@type":113},"Answers to the sample questions are given on page 39.","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},460866,1790841024,{"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":52,"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":145},2336474466412,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","N   \nCalculus BC:Section I  \nSection I consists of 45multiple-choice questions.Part A contains 28 questions and doesnot allow the use of a calculator.Part B contains 17 questions and requires a graphingcalculator for some questions.Twenty-four sample multiple-choice questions for CalculusBC are included in the following sections.Answers to the sample questions are given onpage 39.  \n# Part A Sample Multiple-Choice Questions\n\nA calculator may not be used on this part of the exam.  \nPart A consists of 28 questions.Following are the directions for Section I,Part A,anda representative set of 14 questions.  \nDirections:Solve each of the following problems,using the available space for scratchwork.After examining the form of the choices,decide which is the best of the choicesgiven andfill in the coresponding circle on the answer sheet.No credit will be given foranything written in the exam book.Do not spend too much time on any one problem.  \nIn this exam:  \n(1)Unless otherwise specified,the domain of a function f is assumed to be the set ofall real numbers x for which f(x)is a real number.  \n(2)The inverse of a trigonometric function f may be indicated using the inversefunction notation f¹or with the prefix“arc”(e.g.,sin⁻¹x=arcsin x).  \n1.A curve is described by the parametric equations x=t²+2t and y=t³+t².Anequation of the line tangent to the curve at the point determined by t=1 is(A)2x-3y=0(B)4x-5y=2(c)4x-y=10七=(3,2)(D)5x-4y=7(E)5x-y=13  \ny-2=(x-3-8=x-=.一岁D  \n2.If 3x²+2xy+y²=1,then(A)(B)(c)(D)(E)  \n| x   | g'(x)   |\n| --- | --- |\n| -1.0   | 2   |\n| -0.5   | 4   |\n| 0.0   | 3   |\n| 0.5   | 1   |\n| 1.0   | 0   |\n| 1.5   | -3   |\n| 2.0   | -6   |\n\n3.The table above gives selected values for the derivative of a function g on theinterval-1≤x≤2.If g(-1)=-2 and Euler's method with a step-size of 1.5 isused to approximate g(2),what is the resulting approximation?(A)-6.5(B)-1.5(C)  1.5(D)2.5(E)  3  \n4.What are all values of x for which the series(A)Allx except x=0(B)|x|=3(c)-3≤x≤3(D)|x|>3(E)The series diverges for all x.  \nand if h(x)=x²,then5.Ifg(²)(2)(A)(B)2xg(x)(c)g'(x)(D)(E)x²g(x²)  \n6.If F'is a continuous function for all real x,then  \n(A)0  \n(B)F(0)  \n(c)F(a)  \n(D)F'(0)  \n(E)F'(a)  \n7.The slope field for a certain differential equation is shown above.Which of thefollowing could be a specific solution to that differential equation?(A)y=x²  \n⑧三(D)y=cosx(E)y=Inx  \nSample Questions for Calculus BC:Section I  \nis  \n(A)  \n(B)  \n(C)  \n①  \n(D)  \n(E)divergent  \n9.Which of the following series converge to 2?  \n工  \nII.  \nIII.  \n(A)I only  \n(B)II only  \n(C)I only  \n(D)I and III only  \n(E)II and III only  \n10.If the function f given by f(x)=x³has an average value of 9 on the closed interval  \n[0,k],then k=(A)3(B)31/2(C)181/3(D)36¹/4(E)361/3  \n31◎2012 The College Board.Visit the College Board on the Web:www.collegeboard,org.  \n11.Which of the following integrals gives the length of the graph y=sin(√x)between x=a andx=b,where 0\u003Ca\u003Cb?  \n(A)  \n(B)  \n(c)  \n(D)  \n(E)  \n12.Which of the following integrals represents the area enclosed by the smaller loop ofthe graph of r=1+2sinθ?  \n(D)  \n(E)  \nSample Questions for Calculus BC:Section I  \n13.The third-degree Taylor polynomial about x=0 of In(1-x)is  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n(A)etanx+4  \n(B)etanx+5  \n(c)5etanx  \n(D)tan x+5  \n(E)tan x+5e  \nSample Questions for Calculus BC:Section I  \nGraph of f  \n15.The graph of the functionfabove consists of four semicircles.Ifwhere is g(x)nonnegative?(A)[-3,3]  \n(B)[-3,-2]u[0,2]only(c)[0,3]only(D)[0,2]only(E)[-3,-2]u[0,3]only  \n16.If fis differentiable at x=a,which of the following could be false?  \n(A)fis continuous at x=a.  \n(B)  \n)exists.  \nexists.  \n(c)  \n(D)f'(a)is defined.  \n(E)f\"(a)is defined.  \n17.A rectangle with one side on the x-axis has its upper vertices on the graph ofy=cosx,as shown in the figure above.What is the minimum area of the shadedregion?(A)0.799(B)0.878(C)1.140(D)1.439(E)2.000Y=L.I22-1./z1=⑥x=、A220(S)是lay ly22只makmne Luhagl.  \n18.A solid has","cbCaicwUkxtpmcpu","https://ap.wps.com/l/cbCaicwUkxtpmcpu","pdf",1342362,11,"English","# Part A Sample Multiple-Choice Questions\n## Directions for Section I, Part A\n## Sample Multiple-Choice Questions","[{\"question\":\"How many multiple-choice questions are in Section I, Part A, and is a calculator allowed?\",\"answer\":\"Section I, Part A contains 28 multiple-choice questions, and a calculator may not be used on this part of the exam.\"},{\"question\":\"What should you do when solving problems in Part A?\",\"answer\":\"Solve each problem using the available space for scratch work, choose the best option after examining the choices, and fill in the corresponding circle on the answer sheet.\"},{\"question\":\"Where can you find the answers to the sample questions?\",\"answer\":\"Answers to the sample questions are given on page 39.\"}]","Calculus BC - Part A Sample Multiple-Choice Questions - Directions | PDF",1790759899,28]