Theory and ExamplesAverage value If ƒ is continuous, the

Chapter 11, Problem 31E

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Problem        31E

Theory and Examples

Average value If ƒ is continuous, the average value of the polar coordinate r over the curve with respect to is given by the formula

Use this formula to find the average value of r with respect to θ over the following curves(a > 0)

a. The cardioid r = a(1 - cos θ)

b. The circle r = a

c. The circle r = a cos θ,

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