Calculus II · Parametric and polar curves
Choose one non-overlapping petal of a polar rose
Problem
For the polar curve $r=2\cos(3\theta)$, find the area of one petal. State an interval that traces that petal once, justify its endpoints from $r=0$, and then find the total area enclosed by all petals.
Hint
Solve cos(3theta)=0 around the positive polar axis to locate the two endpoints of one petal.
Check your work
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