Note that a curve C in polar form r = f (?) is parametri
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Note that a curve C in polar form r = f (?) is parametrized by c(?) = (f (?) cos ?, f (?)sin ?)) because the x- and y-co
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Note that a curve C in polar form r = f (?) is parametrized by c(?) = (f (?) cos ?, f (?)sin ?)) because the x- and y-coordinates are given by x = r cos ? and y = r sin ?. (a) Show that c (?) = 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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