AP Calculus AB Problems with Solutions (Part - 19)

Problem 1 :

A)  2√3/9

B)  √3/6

C)  2√3/3

D)  3√3/2

Solution :

Problem 2 :

A curve has slope 2x + sin x at each point (x, y) on the curve. Which of the following is an equation for this curve, if it passes through the point (0, 2)?

A)  y = x² + cos x + 2

B)  y = x² - cos x + 2

C)  y = x² - cos x + 3

D)  y = x² + cos x + 1

Solution :

Problem 3 :

Evaluate :

A)  - ∞

B)  - 1/π²

C)  - π²

D)  ∞

Solution :

Problem 4 :

Let f and g be continuous functions with f(2) = 5.

A)  10

B)  12

C)  14

D)  16

Solution :

Problem 5 :

Using a right Riemann sum with four subintervals [1, 1.5], [1.5, 2], [2, 2.5] and [2.5, 3], what is the approximation of the following definite integral?

A)  5/9

B)  7/12

C)  7/10

D)  19/20

Solution :

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