Barrons AP Calculus - David Bock

(A) −2 ft/sec (B) 3 − π ft/sec (C) 0 ft/sec (D) π − 3 ft/sec (E) π + 3 ft/sec Water is leaking from a tank at the rate of R(t) ...

SECTION II Part A TIME: 30 MINUTES 2 PROBLEMS A graphing calculator is required for some of these problems. See instructions. W ...

Justify your answer. (d) At t = 1 this object’s position was x = 10. Where is the object when t = 3? Part B TIME: 60 MINUTES 4 P ...

3 < x < 4 + − − Let C represent the curve determined by for −2 ≤ x ≤ 11. (a) Let R represent the region between C and th ...

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*Answer Sheets Are For Reference Only. ...

Diagnostic Test Calculus BC All questions are linked to their individual answers. Simply click on the question numbers to move b ...

(E) relative minima at x = 1 and at x = 2 Let Which of the following statements is (are) true? I. F ′(0) = 5 II. F(2) < F(6 ...

is equal to (A) (B) ln (C) (D) (E) ln 2 (A) = 0 (B) = 1 (C) = e (D) = ∞ (E) does not exist Questions 10 and 11. Use the tabl ...

(D) (E) 1 12. (A) 1 (B) −1 (C) 2 − e (D) (E) e − 1 The graph of is concave upward when (A) x > 3 (B) 1 < x < 3 (C) x ...

If = kx, and if x = 2 when t = 0 and x = 6 when t = 1, then k equals (A) ln 4 (B) 8 (C) e^3 (D) 3 (E) none of these If y = x^2 ...

The object’s average speed (in units/sec) during the 6-second interval is (A) (B) (C) −1 (D) (E) 1 The object’s acceleration (i ...

field is shown above? (A) 2 xy = 1 (B) 2 x + y = 1 (C) 2 x^2 + y^2 = 1 (D) 2 x^2 − y^2 = 1 (E) y = 2x^2 + 1 If y is a different ...

Find (A) 5 (B) 6 (C) 11.5 (D) 14 (E) 17 The solution of the differential equation for which y = −1 when x = 1 is (A) (B) (C) l ...

Part B TIME: 50 MINUTES Some questions in this part of the examination require the use of a graphing calculator. There are 17 qu ...

The region S in the figure above is bounded by y = sec x and y = 4. What is the volume of the solid formed when S is rotated ab ...

(A) 3 (B) 4 (C) 5 (D) 6 (E) none of these Find the area bounded by the y-axis and the curve defined parametrically by x(t) = 4 ...

(C) (D) (E) none of these The coefficient of x^3 in the Taylor series of ln (1 − x) about x = 0 (the Maclaurin series) is (A) ( ...

A 26-foot ladder leans against a building so that its foot moves away from the building at the rate of 3 feet per second. When ...

(A) 7 (B) 82 (C) 124 (D) 141 (E) 164 The first-quandrant area inside the rose r = 3 sin 2θ is approximately (A) 0.59 (B) 1.50 ( ...