Consider the polar curve r = 4sin(2θ). What is the length of each petal, and how many petals does the graph have?

For r = 4sin(2θ), the greatest value of r is 4, so each petal extends 4 units from the origin to its tip. A rose curve with an even multiplier n in sin(nθ) has 2n petals; here n = 2, so there are 4 petals. Therefore, the correct choice is “The length of each petal is 4, and the number of petals is 4.”

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