Barrons AP Calculus - David Bock
(C) G ′(2) = 4, so G (x) 4(x − 2) + 5. ...
(E) See the figure below. ...
(E) Note that ...
(B) Note that (0, 0) is on the graph, as are (1, 2) and (−1, −2). So only (B) and (E) are possible. Since only (B) is correct. ...
(D) See the figure. ...
20. (E) ...
(D) In (D), f (x) is not defined at x = 0. Verify that each of the other functions satisfies both conditions of the Mean Value ...
(E) The signs within the intervals bounded by the critical points are given below. Since f changes from increasing to decreasi ...
(B) Since ln then ...
24. (D) ...
(B) As seen from the figure, where y = 2r, ...
(C) From the figure below, ...
(A) Since the degrees of numerator and denominator are the same, the limit as x→∞ is the ratio of the coefficients of the terms ...
(A) We see from the figure that ΔA = (y 2 − y 1 ) Δx; ...
Part B (A) Let u = x^2 + 2. Then and ...
(E) will increase above the half-full level (that is, the height of the water will rise more rapidly) as the area of the cross ...
(B) Since ...
32. (C) The initial condition H(0) = 120 shows c = 50. Evaluate H(10). ...
(B) Let P be the amount after t years. It is given that The solution of this differential equation is P = 4000e0.08t + C, wher ...
(C) The inverse of y = 1 + ex is x = 1 + ey or y = ln (x − 1); (x − 1) must be positive. ...
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