Question: 1 3 Problem 4: Consider the polar curve given by the equation r(0) = 1 + sin(4 0). It is an example of what is

1 3 Problem 4: Consider the polar curve given by the equation r(0) = 1 + sin(4 0). It is an example of what is sometimes called a rose. a) Sketch a graph of the rose. How many leaves does the rose have? (2 pts) b) Find the slope of the line tangent to the rose at the (polar) point (2, % ). Give an exact value . (4 pts) c) Find the area inside one leaf of the rose. (4 pts)

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