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Chapter 4: Q. 14 (page 385)

Repeat Exercise 13 for the function f shown above at the right, on the interval [-2,2]

Short Answer

Expert verified

d

Step by step solution

01

Step 1. Given infromation is

We are given with function f(x) and g(x) plotted on a graph

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Most popular questions from this chapter

Fill in each of the blanks:

(a) 鈭�x6dx=+C.

(b) is an antiderivative of role="math" localid="1648619282178" x6.

(c) The derivative of is x6.

Write each expression in Exercises 41鈥�43 in one sigma notation (with some extra terms added to or subtracted from the sum, as necessary).

3鈭�k=225k2+2鈭�kk=224-鈭�k=0251

Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.

鈭�24x2+1dx

Suppose f is a function whose average value on

[-2,5]is 10and whose average rate of change on

the same interval is -3. Sketch a possible graph for f .

Illustrate the average value and the average rate of change

on your graph of f.

If f is negative on [鈭�3, 2], is the definite integral 鈭�-32f(x)dx positive or negative? What about the definite integral 鈭� 鈭�-32f(x)dx?
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