Barrons AP Calculus - David Bock

Use a series to evaluate to four decimal places. SOLUTION: Although cannot be expressed in terms of elementary functions, we can ...

sometimes referred to as Euler’s magic formula. † This is an optional topic not in the BC Course Description. We include it here ...

(E) diverges to infinity Which of the following sequences diverges? (A) (B) (C) (D) (E) The sequence {rn } converges if and onl ...

(C) 1 (D) (E) Which of the following statements about series is true? (A) If converges. (B) If diverges. (C) If diverges, then ...

Which of the following expansions is impossible? (A) in powers of x (B) in powers of x (C) ln x in powers of (x − 1) (D) tan x ...

(C) 0.098 (D) 0.008 (E) 0.090 If the series tan−1 is used to approximate with an error less than 0.001, then the smallest numbe ...

(B) (C) (D) (E) Which of the following series diverges? (A) (B) (C) (D) (E) For which of the following series does the Ratio Te ...

(C) If the terms of an alternating series decrease, then the series converges. (D) If r < 1, then the series converges. (E) n ...

(D) (E) The Taylor polynomial of order 3 at x = 1 for ex is (A) (B) (C) (D) (E) The coefficient of in the Taylor series about o ...

(A) 0 (B) 1 (C) (D) −1 (E) Let Suppose both series converge for |x| < R. Let x 0 be a number such that |x 0 | < R. Which ...

(B) 0.003 (C) 0.005 (D) 0.008 (E) 0.009 If a suitable series is used, then correct to three decimal places, is (A) −0.200 (B) ...

The Taylor polynomial of order 3 at x = 0 for (1 + x)p, where p is a constant, is (A) 1 + px + p(p − 1)x^2 + p(p − 1)(p − 2)x^ ...

(C) 6 + 6x + 3x^2 + x^3 (D) 6 + 6(x − 1) + 3(x − 1)^2 + (x − 1)^3 (E) ...

CHAPTER 11 Miscellaneous Multiple-Choice Practice Questions These questions provide further practice for Parts A and B of Sectio ...

(A) (B) (C) (D) (E) none of these (A) −3 (B) −1 (C) 1 (D) 3 (E) nonexistent For polynomial function p, p ′′(2) = −6, p ′′( ...

The maximum value of the function f (x) = x^4 − 4x^3 + 6 on [1, 4] is (A) 1 (B) 0 (C) 3 (D) 6 (E) none of these Let if x ≠ 5, a ...

(C) −1 (D) (E) 1 The equation of the tangent to the curve y = ex ln x, where x = 1, is (A) y = ex (B) y = ex + 1 (C) y = e(x − ...

particle is decreasing when (A) − 1 < t < 1 (B) − 1 < t < 0 (C) t < 0 (D) t > 0 (E) |t| > 1 A rectangle wi ...

vertical line segment cut off by the curves generates a ring. The value of x for which the ring of largest area is obtained is ( ...

(C) (D) (E) 27. (A) −2 (B) (C) 0 (D) (E) 28. (A) 0 (B) (C) (D) (E) ∞ BC ONLY 29. (A) 0 (B) (C) 1 (D) 2 (E) ∞ The number of valu ...