# U of I MATH 070 - 2003 BC Multiple Choice (20 pages)

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## 2003 BC Multiple Choice

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- Pages:
- 20
- School:
- University of Illinois
- Course:
- Math 070 - Elementary Mathematics

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Name Period AP Calculus BC 2003 Calculus BC Multiple Choice Exam Part A 1 If y sin 3 x then dy dx A 3cos 3 x B cos 3 x 1 3 D cos 3x C cos 3x E 3cos 3 x e x cos x 2 x 2 lim is x 0 x2 2 x A 1 2 B 0 1 2 D 1 C E nonexistent 3 3x 1 dx 5 3 x 1 6 A C 18 3 x 1 6 B C 6 3 x 1 6 C C 2 3x 2 x 6 D 2 C 2 3x 2 E x 5 C 2 PDF Created with deskPDF PDF Writer Trial http www docudesk com 4 For 0 t 13 an object travels along an elliptical path given by the parametric equations x 3cos t and y 4sin t At the point where t 13 the object leaves the path and travels along the line tangent to the path at that point What is the slope of the line on which the object travels 4 3 3 B 4 4 tan13 C 3 4 D 3 tan13 3 E 4 tan13 A dy x y with dx the initial condition f 1 2 What is the approximation for f 2 if Euler s method is used starting at x 1 with a step size of 0 5 A 3 B 5 C 6 D 10 E 12 5 Let y f x be the solution to the differential equation 6 What are all values of p for which 1 1 dx converges x2 p A p 1 B p 0 1 2 D p 1 C p E There are no values of p for which this integral converges PDF Created with deskPDF PDF Writer Trial http www docudesk com 7 The position of a particle moving in the xy plane is given by the parametric equations x t 3 3t 2 and y 2t 3 3t 2 12t For what values of t is the particle at rest A 1 only B 0 only C 2 only D 1 and 2 only E 1 0 and 2 8 x 2 cos x dx 3 A sin x 3 C 1 3 B sin x 3 C 1 3 C x3 sin x3 C 3 x3 D sin x3 C 3 x4 x3 E sin C 3 4 9 If f x ln x 4 e 3 x then f 0 is A 2 5 1 5 1 C 4 2 D 5 E nonexistent B PDF Created with deskPDF PDF Writer Trial http www docudesk com 10 What is the value of 2n 1 n n 1 3 A 1 B 2 C 4 D 6 E The series diverges 11 The Maclaurin series for power series expansion for 1 is 1 x xn n 0 Which of the following is a x2 1 x2 A 1 x 2 x 4 x 6 x8

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