Barrons AP Calculus - David Bock
48. (D) ...
Answers Explained Part A (D) If f (x) = for x ≠ 0 and f (0) = 0 then, thus this function is continuous at 0. In (A), does not ...
(C) To find the y-intercept, let x = 0; y = − 1. ...
3. (A) ...
(D) The line x + 3y + 3 = 0 has slope a line perpendicular to it has slope 3. The slope of the tangent to y = x^2 − 2x + 3 at ...
(A) is f′ (1), where Or simplify the given fraction to ...
(E) Because p ′′(2) < 0 and p ′′(5) > 0, p changes concavity somewhere in the interval [2,5], but we cannot be sure p ′′ ...
7. (C) Save time by finding the area under y = |x − 4| from a sketch! ...
(A) Since the degrees of numerator and denominator are the same, the limit as x→∞ is the ratio of the coefficients of the terms ...
(D) On the interval [1, 4], f′ (x) = 0 only for x = 3. Since f (3) is a relative minimum, check the endpoints to find that f (4 ...
(C) To find lim f as x → 5 (if it exists), multiply f by and if x ≠ 5 this equals So lim f (x) as x → 5 is For f to be continu ...
(D) Evaluate ...
(A) From the equation given, y = esin x. ...
(D) If f (x) = x cos x, then f ′(x) = −x sin x + cos x, and ...
(C) If y = ex ln x, then which equals e when x = 1. Since also y = 0 when x = 1, the equation of the tangent is y = e(x − 1). ...
(B) v = 4(t − 2)^3 and changes sign exactly once, when t = 2. ...
(C) Evaluate ...
17. (C) ...
(C) Since v = 3t^2 + 3, it is always positive, while a = 6t and is positive for t > 0 but negative for t < 0. The speed t ...
(A) Note from the figure that the area, A, of a typical rectangle is For y = 2, Note that is always negative. ...
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