Barrons AP Calculus - David Bock
28. (D) ...
Part B (C) Since the equation of the spiral is r = ln, use the polar mode. The formula for area in polar coordinates is Theref ...
(D) When y = 2t = 4, we have t = 2, so the line passes through point F(2) = (5,4). Also so at t = 2 the slope of the tangent l ...
(A) I. converges by the Ratio Test: II. diverges by the nth Term Test: III. diverges by the Comparison Test: diverges. ...
(E) If Q 0 is the initial amount of the substance and Q is the amount at time t, then and Thus k = 0.08664. Using a calculator ...
(A) See figure below. ...
(D) See figure below. ...
42. (E) ...
(C) The endpoints of the arc are and (e,1). The arc length is given by ...
(B) Find k such that cos x will differ from by less than 0.001 at x = k. Solve which yields x or k = 0.394. ...
Free-Response Part A See solution for AB-1, Free-Response in AB Practice Exam Two. ...
(a) Position is the antiderivative of To find c, substitute the initial condition that x = 1 when t = 0: At t = 2, x = 2 arcta ...
Part B (a) (b) By the Ratio Test, the series converges when Thus, the radius of convergence is 2. (c) is an alternating series ...
See solution for AB/BC 4, Free-Response in AB Practice Exam Two. ...
See solution for AB-5, Free-Response in AB Practice Exam Two. ...
See solution for AB-6, Free-Response in AB Practice Exam Two. ...
Answers Explained The explanations for questions not given below will be found in the answer section for AB Practice Exam 3. Ide ...
(D) is the sum of an infinite geometric series with first term 1 and common ratio −2x. The series is 1 − 2x + 4x^2 − 8x^3 + 16 ...
(A) Assume that Then 2 x^2 − x + 4 = A(x − 1)(x − 2) + Bx(x − 2) + Cx(x − 1). Since you are looking for B, let x = 1: 2(1) − 1 ...
(B) Since ex 1 + x,e −x^2 1 − x^2. So ...
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