Given the polar curve:r=5sin(2),0<2

a)Name the shape, name the line of symmetry, sketch a graph of the curve (including the coordinate of important points).

b)Find the area of one petal.

c) Suppose that you were working with the polar curve:r=5cos(2),0<2

.How does that change your set-up for part (b)?Explain but do not solve.