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The problems span topics such as tangent line equations for implicit curves, Taylor series terms, partial fractions, optimization, series approximation of integrals, and differential equations using slope 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examination.  \nThere are 28 questions in Part A,for which 55minutes are allowed.To compensatefor possible guessing,the grade on this part is determined by subtracting one-fourthof the number of wrong answers from the number answered correctly.  \nDirections:Choose the best answer for each question.  \n(D)∞  \n(E)nonexistent  \n(A)1  \n(B)2  \n(C)3  \n(B)-1  \n(C)0  \n(D)∞    (E)none of these  \n(A)1  \n3  \n(E)diverges.  \n(B)=1.  \n(D)=4.  \n4.The equation of the tangent to the curve 2x²-y⁴=1at the point(-1,1)is(C)4y+5x+1=0(D)x-2y+3=0(E)x-4y+5=0  \n5.The nth term of the Taylor series expansion about x=0 of the function  \n(A)(2x)\"   (B)2x\"-1  \n(C)  \n(D)(-1)\"-¹(2x)”-1 (E)(-1)”(2x)\"-1  \nBC Practice Examination 3  \nBC Practice Examination 3  \n6.When the method of partial fractions is used to decomposefractions obtained is  \n,one of the  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n7.A relative maximum value of the function  \n(A)1  \n(B)e  \n(C)  \n(D)  \n(E)none of these  \n8.When a series is used to approximate,the value of the integral,to twodecimal places,is(A)-0.09 (B)0.29(D)0.81    (E)1.35(C)0.35  \n、、、__-1E、  \n9.A particular solution of the differential equation whose slope field is shown abovecontains point P.This solution may also contain which other point?(A)A(B)B(C)C(D)D(E)E  \n10.Let.Which of the following statements is (are)true?  \nI.The domain of Fisx≠±1.IⅡ.F(2)>0.  \nⅢ.The graph of Fis concave upward.  \n(A)none    ((B)I only(C)I only(D)Ⅲ only(E)I and Ⅲ only  \n11.As the tides change,the water level in a bay varies sinusoidally.At high tide today at8 A.M.,the water level was 15 feet;at low tide,6 hours later at 2 P.M:,it was 3 feet.How fast,in feet per hour,was the water level dropping at noon today?(D)π√3(C)3√3(E)6√3(A)3  \n12.Let  \n(A)-3π  \n(B)-1  \n(C)0  \n(D)1    (E)3π  \n(A)In(1+e2)+C  \n(B)  \n(C)  \n(D)tan-¹e“+C  \n14.Given f(x)=log10x and log10(102)≈2.0086,which is closest tof'(100)?  \n(A)0.0043  \n(B)0.0086  \n(C)0.01  \n(D)1.0043  \n(E)2  \n15.If G(2)=5 and,then an estimate of G(2.2)using local linearizationis approximately(A)5.4(B)5.5(C)5.8(D)8.8(E)13.8  \n16.The area bounded by the parabola y=x²and the lines y=1 and y=9equals  \n(A)8  \n(B)  \n(D)32  \n(C)  \n(E)  \n17.The first-quadrant region bounded by  \nrotated about the x-axis.The volume obtained as q→0+equals(B).(C)2π(D)4π(E)none of these  \n18.A curve is given parametrically by the equations  \nx=3-2sint andy=2cost-1.The length of the arc from t=0 to t=π is(A)(B)π(C)2+π(D)2π(E)4π  \n19.Suppose the graph of fis both increasing and concave up on a≤x≤b.Then,usingthe same number of subdivisions,and with L,R,M,and T denoting,respectively,left,right,midpoint,and trapezoid sums,it follows that  \n(A)R≤T≤M≤L  \n(B)L≤T≤M≤R  \n(C)R≤M≤T≤L  \n(D)L≤M≤T≤R  \n(E)none of these  \nB Practice Examination 3  \nBCPractice Examination 3  \n20.Which of the following statements about the graph ófis(are)true?  \nI.The graph has no horizontal asymptote.II.The linex=2 is a vertical asymptote.IⅢI.The line y=x+2 is an oblique asymptote.(A)I only(B)Ⅱ only(C)I and I only(D)I and II only (E)all three  \n21.The only function that does not satisfy the Mean Value Theorem on the intervalspecified is  \n(A)f(x)=x²-2x on[-3,1](D)  \n(A)-3e-1  \n(B)-e  \n(C)e-2  \n(D)3e  \n(E)4e-1  \n23.A cylindrical tank,shown in the figure above,is partially full of water at time t=0,when more water begins flowing in at a constant rate.The tank becomes half fullwhen t=4,and is completely full when t=12.Let h represent the height of the waterat time t.During which interval is(A)none   (B)0\u003Ct\u003C4(C)0\u003Ct\u003C8(D)0\u003Ct\u003C12(E)4\u003Ct\u003C12  \n24.The graph of function f shown above consists of three quarter-circles.  \nWhich of the following is(are)equivalent toIⅡ.III.(B)Ⅱ only   (C)I only(A)I only(E)all three(D)I and I only  \n25.The base of a solid is the first-quadrant region bounded by y=4-2x,and each  \ncross section perpendicular to the x-axis is a semicircle with a diameter in the  \nxy-plane.The volume o","cbCaiaCPghfX0dWv","https://ap.wps.com/l/cbCaiaCPghfX0dWv","pdf",619365,"English","# Part A - 55 minutes\n## Directions and scoring rule\n## Multiple-choice problem set","[{\"question\":\"How is the score for Part A calculated when answering incorrectly?\",\"answer\":\"The grade on Part A is determined by subtracting one-fourth of the number of wrong answers from the number answered correctly.\"},{\"question\":\"Are calculators allowed in Part A?\",\"answer\":\"No. The use of calculators is not permitted for this part of the examination.\"},{\"question\":\"How many questions are in Part A, and how much time is given?\",\"answer\":\"Part A contains 28 questions and allows 55 minutes.\"}]","BC Practice Examination 3 - Part A - 55 Minutes | PDF",25]