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Find the area of one loop of the polar curve r=4*sin(3*theta + Pi/3) Let f(x,y) =...

Find the area of one loop of the polar curve r=4*sin(3*theta + Pi/3)

Let f(x,y) = 3x^2 + cos(Pi*y). a) f has a saddle point at (0,k) whenever k is an odd integer b) f has a saddle point at (0,k) whenever k is an even integer) c) f has a local maximum at (0,k) whenever k is an even integer d) f has a local minimum at (0,k) whenever k is an odd integer

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