Barrons AP Calculus - David Bock
(E) Each is essentially a p-series, Such a series converges only if p > 1. ...
Free-Response Part A See solution for AB-1, Free-Response in AB Practice Exam One. ...
See solution for AB2, Free-Response in AB Practice Exam One. ...
Part B (a) Because which never equals zero, the object is never at rest. (b) so the object’s speed is Position is the antideri ...
(a) To write the Maclaurin series for f (x) = ln(e+x), use Taylor’s theorem at x = 0. (b) By the Ratio Test, the series conver ...
(a) To find the maximum rate of growth, first find the derivative of A signs analysis shows that changes from positive to nega ...
See solution for AB/BC 6, Free-Response in AB Practice Exam One. ...
Answers Explained The explanations for questions not given below will be found in the answer section for AB Practice Exam 2. Ide ...
(C) Note that where you let ...
(C) Obtain the first few terms of the Maclaurin series generated by ...
(C) Here, and the magnitude of the acceleration, |a|, is given by ...
7. (B) By the Ratio Test the series converges when Checking the endpoints, we find: is the alternating harmonic series, which co ...
10. (C) ...
(D) We integrate by parts using u = ln x, dv = dx; then v = x, and ...
(C) Use the method of partial fractions, letting Letting x = 0, we find A = 2, and letting x = 3 yields B = −1. Now ...
(E) At (2,1), Use Δx = 0.1; then Euler’s method moves to (2.1, 1 + 3(0.1)). At (2.1, 1.3), so the next point is (2.2, 1.3 + 3. ...
(D) Separate variables to get and integrate to get ln y = ln x + C. Since y = 3 when x = 1, C = ln 3. Then y = e(ln x + ln 3) ...
(D) The generating circle has equation x^2 + y^2 = 4. Using disks, the volume, V, is given by ...
(C) The integrals in (A), (B), and (D) all diverge to infinity. ...
(D) Using separation of variables: Given initial point (0,0), we have 0 = tan(0 + C); hence C = 0 and the particular solution ...
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