Barrons AP Calculus - David Bock
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 ...
CHALLENGE The curve 2x^2 y + y^2 = 2x + 13 passes through (3, 1). Use the line tangent to the curve there to find the approxima ...
Solutions of the differential equation whose slope field is shown here are most likely to be (A) quadratic (B) cubic (C) sinus ...
(B) (C) (D) (E) Which of these could be a particular solution of the differential equation whose slope field is shown here? (A ...
(A) (B) y ′ = ln x (C) y ′ = ex (D) y ′ = y (E) y ′ = −y^2 If we substitute x = tan θ, which of the following is equivalent to ...
(D) 2π (E) none of these The first four terms of the Maclaurin series (the Taylor series about x = 0) for are (A) 1 + 2x + 4x^2 ...
If x = a cot θ and y = a sin^2 θ, then when is equal to (A) (B) −1 (C) 2 (D) (E) Which of the following improper integrals d ...
(B) 3 (C) (D) (E) none of these 54. (A) −∞ (B) −1 (C) 0 (D) 1 (E) ∞ When rewritten as partial fractions, includes which of the ...
(B) −1 (C) 1 (D) (E) undefined Part B. Directions: Some of these questions require the use of a graphing calculator. The graph ...
(B) II only (C) II and III only (D) all three (E) none of these (A) (B) (C) (D) (E) 0 If (A) −6 (B) −5 (C) 5 (D) 6 (E) 7 ...
(A) I only (B) II only (C) II and IV (D) I and III (E) IV only Which of the following statements is true about the graph of f ( ...
The volume, in cubic feet, of an “inner tube” with inner diameter 4 ft and outer diameter 8 ft is (A) 4π^2 (B) 12π^2 (C) 8π^2 ( ...
(A) (B) (C) (D) (E) Suppose the function f is continuous on 1 x 2, that f ′(x) exists on 1 < x < 2, that f (1) = 3, and t ...
An object in motion along a line has acceleration and is at rest when t = 1. Its average velocity from t = 0 to t = 2 is (A) 0 ...
(E) none of these The table shows the speed of an object (in ft/sec) during a 3-sec period. Estimate its acceleration (in ft/se ...
(B) 643 (C) 700 (D) 833 (E) 892 Shown is the graph of Let The local linearization of H at x = 1 is H(x) equals (A) 2 x (B) −2x ...
If then P ′(3) = (A) −2 (B) (C) (D) (E) 2 If H(x) = f (g (x)), then H ′(3) = (A) 1 (B) 2 (C) 3 (D) 6 (E) 9 If M(x) = f (x) · ...
If R (x) = then R ′(3) = (A) (B) (C) (D) (E) 2 Water is poured into a spherical tank at a constant rate. If W(t) is the rate ...
(A) 200 (B) 19,500 (C) 21,000 (D) 165,000 (E) 591,000 The Centers for Disease Control announced that, although more AIDS cases ...
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