Note that a curve C in polar form r = f () is parametrized by r() = (f () cos , f ()sin
Chapter 16, Problem 58(choose chapter or problem)
Note that a curve C in polar form r = f () is parametrized by r() = (f () cos , f ()sin )) because the x- and y-coordinates are given by x = r cos and y = r sin . (a) Show that r () = f ()2 + f ()2. (b) Evaluate C (x y)2 ds, where C is the semicircle in Figure 22 with polar equation r = 2 cos , 0 2 .
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