Area of rosesa. Even number of leaves: What is the

Chapter 8, Problem 40E

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QUESTION:

Area of roses

a. Even number of leaves: What is the relationship between the total area enclosed by the 4m-leaf rose \(r=\cos(2m\theta)\) and m?

b. Odd number of leaves: What is the relationship between the total area enclosed by the (2m + 1)-leaf rose \(r=\cos\ (2m+1)\ \theta\) and m?

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QUESTION:

Area of roses

a. Even number of leaves: What is the relationship between the total area enclosed by the 4m-leaf rose \(r=\cos(2m\theta)\) and m?

b. Odd number of leaves: What is the relationship between the total area enclosed by the (2m + 1)-leaf rose \(r=\cos\ (2m+1)\ \theta\) and m?

ANSWER:

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