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ANSWER:(E)f'(x)=2x(-sin x)+cosx(2)=-2xsinx+2 cosx  \n(Calculus,Early Transcendentals 7th ed.pages 191-194/  \n8th ed.pages 190-193).  \n2.  ANSWER:(B)f'(x)increasing=f\"(x)>0→f(x)is concave up.f'(x)decreasing=f(x)\u003C0→f(x)is concave down.  \n(B)is concave up for x\u003C2 and concave down forx>2(Calculus,Early Transcendentals 7th ed.pages 310-316/8th ed.pages 315-321).  \n3.  ANSWER:(C)If the interval from 0 to 1 is partitioned into n  \nand their x-subintervals,then each one has width.Thus.Recallcoordinates arethat a definite integral is defined as the limit of a Riemann sum,.In this problem,f(x)=√x.Therefore,Transcendentals 7th ed.pages 371-380/8th ed.pages 378-386).  \n4.ANSWER:(D)Using Euler's method,yn+1≈yn+     △  \nX₀=2y₀=5X₁=2.5y₁=5+4(0.5)=7X₂=3y₂=7+5(0.5)=9.5 Therefore,f(3)≈9.5  \n(Calculus,Early Transcendentals 7th ed.pages 589-591/  \n8th ed.pages 595-597).  \n5.  ANSWER:(C)y(5)=8√3·5+1=32  \nThe equation of the tangent line is y-32=3(x-5),ory=3x+17  \n(Calculus,Early Transcendentals 7th ed.pages 198-205/  \n8th ed.pages 197-204).  \n*6.ANSWER:(E).Therefore,(Calculus,Early Transcendentals 7th ed.pages 636-647/8th ed.pages 640-651).  \n7.ANSWER:(E)  \n3  \n(Calculus,Early Transcendentals7th ed.pages 519-526/8th ed.pages 527-534).  \n8.ANSWER:(C)Since f(x)is strictly increasing,left end points produceinscribed rectangles and an underapproximation.Right end pointsproduce circumscribed rectangles and an overapproximation.Since f(x)is concave down,a trapezoidal approximation consists ofline segments which are below f(x),producing an  \nunderapproximation.So I and II are false and I is true,making(C)correct(Calculus,Early Transcendentals 7th ed.pages 371-380,508-511/8th ed.pages 378-386,516-519).  \n9.  ANSWER:(B)Separating variables,  \n(Calculus,Early Transcendentals 7th ed.pages 594-597/  \n8th ed.pages 599-602).  \n○ 2016 Cengage Leamning.All ights Reserved.May not be copied,scanned,or duplicated,in whole or in part,except for use as permited in a license distributedwith a certain product or service or otherwise on a password-protected website for classroom use.  \n10.ANSWER:(C Differentiating both sides implicitly,  \n.Therefore,At point (1,1),this equation is(Calculus,Early Transcendentals7th ed.pages 209-214/8th ed.pages 208-214).  \n11.ANSWER:(A)f(x)=ʃ12x²sin(2x³-16)dx.Let  \nu=2x³-16→du=6x²dx.  \n5=-2 cos(2·2³-16)+C=5=-2 cos(0)+C=-2+C→C=7.  \nf(x)=-2 cos(2x³-16)+7(Calculus,Early Transcendentals  \n7th ed.pages 344-348/8th ed.pages 350-355).  \n*12.ANSWER:(A)The Taylor expansion for a function aboutx=a is  \ndefined as  \n.Therefore,  \nSolving,  \nEquivalently,differentiating the given polynomial twice andsubstituting x=3 produces f\"(3)=-14/3(Calculus,Early  \nTranscendentals 7th ed.pages 753-764/7th ed.SV pages 775-786/8th ed.pages 759-770).  \n13.ANSWER:(A)f'(x)=6x⁵-20x³→f\"(x)=30x⁴-60x²=30x²(x²-2)  \n30x²(x²-2)=0=x=0,±√2  \nThe sign of f(x)changes at x=±√2 only,so these are the locationsof the inflection points(Calculus,Early Transcendentals7th ed.pages 292-294/8th ed.pages 292-295).  \n.This is a quotient indeterminate*14.ANSWER:(A)form,so L'Hopital's rule applies.  \n(Calculus,Early Transcendentals 7th ed.pages 301-307/  \n8th ed.pages 304-311).  \n02016 Cengage Lcaming.All Rights Reserved.May not be copied,scanned,or duplicated,in whole or in part,except for use as permite in a icense distributedwith a certain product or service or otherwise on a password-protected website for classroom use.  \n304    BC PRACTICE TEST 1  \n*15.ANSWER:(A)I:The ","cbCaivzGf7Cp431l","https://ap.wps.com/l/cbCaivzGf7Cp431l","pdf",4126954,"English","# Answers and Answer Explanations\n## Multiple-Choice Questions","[{\"question\":\"How is scoring determined in the practice test?\",\"answer\":\"The document instructs readers to score based on how many questions were answered correctly versus incorrectly, with additional scoring information provided at the end of the practice test.\"},{\"question\":\"What do the asterisks (*) indicate in the multiple-choice section?\",\"answer\":\"Asterisks mark BC questions and solutions, distinguishing them from other items in the set.\"},{\"question\":\"What types of calculus topics appear in the answer explanations?\",\"answer\":\"The explanations cover topics such as differentiation and concavity, definite integrals and Riemann sums, tangent line equations, Euler’s method approximations, and convergence/divergence of series.\"}]","AP Calculus BC Practice Test 1 - Answers and Answer Explanations | PDF",25]