a) Set up the integral used to find the area contained in one petal of r= 3cos(5theta)
b) Determine the exact length of the arc r= theta^2 on the interval theta= 0 to theta=2pi
c) Determine the area contained inside the lemniscate r^2= sin(2theta)
d) Determine the slope of the tangent line to the curve r= theta at theta= pi/3
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