Barrons AP Calculus

(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) The slope field below is for the differential equation y′ = 2x y′ ...

The slope fields below are for Questions 25–30. ...

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

(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) Which ...

31. (A) (B) (C) (D) (E) 32. (A) (B) (C) (D) (E) 33. (A) (B) (C) (D) (E) BC ONLY QUESTIONS 31–32 If you use Euler’s method ...

(B) (C) (D) (E) (A) (B) (C) (D) (E) (A) Which function is a possible solution of the slope field show ...

(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) Which differential equation has the slope field shown? y′ = x(x + ...

(A) (C) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (B) (D) (E) Part B. Directions: Some of the ...

(D) (E) (A) (B) (C) (D) (E) (A) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (B) ln ln If for al ...

46. (A) (B) (C) (D) (E) 47. BC ONLY QUESTIONS 46–47 The graph displays logistic growth for a frog popul ...

(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) Given that f (3) = 100, use ...

(E) 51. I. II. III. (A) (B) (C) (D) (E) 52. (A) (B) (C) (D) (E) 53. (A) (B) (C) (D) (E) 54. BC ONLY QUESTIONS 51–53 Which ...

(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) the differential equation satisfied by the temperature T of the corpse ...

■ ■ ■ ■ 10 Sequences and Series BC ONLY CONCEPTS AND SKILLS In this chapter, we review infinite series for BC ...

Does the sequence converge or diverge? SOLUTION: ; hence the sequence converges to . BC ONLY Example 3 ...

B1. Definitions Infinite series If an is a sequence of real numbers, then an infinite series is an ...

then we say that infinite series is convergent, or converges to S, or has the sum S, and we write, in this ...

B2. Theorems About Convergence or Divergence of Infinite Series The following theorems are important. THEOREM 2 ...

12 __ Does converge or diverge? SOLUTION: Since , the series diverges by the nth Term Test. THE GEOM ...

converges. Example 14 __ Does converge? SOLUTION: The associated improper integral is which equals The im ...