Barrons AP Calculus - David Bock

Then (b) We must find N(8). Since t = 0 represents yesterday: (c) The virus spreads fastest when 50,000/2 = 25,000 people have b ...

(C) 2 (D) 3 (E) 4 A stone is thrown straight up from the top of a building with initial velocity 40 ft/sec and hits the ground ...

(C) 96 ft/sec (D) 112 ft/sec (E) none of these If the velocity of a car traveling in a straight line at time t is v(t), then th ...

(C) (D) (E) If and y = 0 when x = 1, then (A) y = ln |x| (B) y = ln |2 − x| (C) e−y = 2 − x (D) y = −ln |x| (E) e−y = x − 2 I ...

(E) none of these The curve that passes through the point (1,1) and whose slope at any point (x, y) is equal to has the equatio ...

(A) y ′ = 2x (B) y ′ = 2x − 4 (C) y ′ = 4 − 2x (D) y ′ = y (E) y ′ = x + y A solution curve has been superimposed on the slope ...

Which slope field is for the differential equation y ′ = y? (A) I (B) II (C) III (D) IV (E) V Which slope field is for the diff ...

(B) II (C) III (D) IV (E) V Which slope field is for the differential equation y ′ = 2x? (A) I (B) II (C) III (D) IV (E) V Whic ...

(B) 0.010 (C) 0.050 (D) 0.500 (E) 0.720 Which differential equation has the slope field shown below? (A) y ′ = y (y + 2) (B) y ...

(A) (B) (C) 1 (D) (E) If radium decomposes at a rate proportional to the amount present, then the amount R left after t yr, if ...

(C) 1 (D) 2 (E) 4 The solution curve of y ′ = y that passes through point (2, 3) is (A) y = ex + 3 (B) (C) y = 0.406ex (D) y = ...

(C) (D) (E) BC ONLY The table shows selected values of the derivative for a differentiable function f. x 2 3 4 5 6 7 f ′(x) 2. ...

(B) 15 min (C) 18 min (D) 20 min (E) 25 min The concentration of a medication injected into the bloodstream drops at a rate pro ...

(B) when P = 500 (C) when P = 1000 (D) when (E) when According to Newton’s law of cooling, the temperature of an object decreas ...

CHAPTER 10 Sequences and Series Concepts and Skills In this chapter, we review infinite series for BC Calculus students. Topics ...

EXAMPLE 4 Does the sequence converge or diverge? SOLUTION: Since the sequence diverges (to infinity). EXAMPLE 5 Does the sequenc ...

If there is a finite number S such that then we say that infinite series is convergent, or converges to S, or has the sum S, and ...

THEOREM 2a. If converges, then This provides a convenient and useful test for divergence, since it is equivalent to the statemen ...

earlier, this is a necessary condition for convergence, but may not be sufficient. We now examine the sum using the same techniq ...

SOLUTION: by an application of L’Hôpital’s Rule. Thus converges. THE p-SERIES TEST A p-series converges if p > 1, but diverge ...