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Chapter 5

NC 1. The average value of the function f(x)=cos(.5x) on the closed interval [-4,0] is

(A) -.5sin(2) (B) -.25sin(2) (C) .5cos(2) (D) .25 sin(2) (E) .5sin(2)

NC 2. Suppose that f(x) is an even function and let [pic]What is [pic]

(A) –5 (B) –4 (C) 0 (D) 4 (E)5

|x |0 |1 |2 |3 |4 |5 |6 |

|f(x) |0 |0.25 |0.48 |0.68 |0.84 |0.95 |1 |

(A) 2.64 (B) 3.64 (C) 3.72 (D) 3.76 (E) 4.64

C7. [pic]?

NC 8.Which of the following properties of the definite integral is true?

A) I only

B) I and II only

C) I and III only

D) II and III only

E) I,II, and III

NC 9. Let f be a differentiable function for all x. Which of the following must be true?

A) II only

B) III only

C) I and II only

D) II and III only

E) I,II, and III

C 10. If [pic], which of the following is true?

[pic]

C 11. The graph of the function f shown to the right consists of two line segments. If g is the function defined by [pic], then g(-1) =

(A) - 2 (B) - 1 (C) 0 (D) 1 (E) 2

C 12. The graphs of five functions are shown below. Which function has a nonzero average value over the closed interval [-π , π]?

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C3.

[pic]

[pic]

[pic]

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