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Find (fog)', evaluated at the indicated point. 1. f(x, y) = x' + y' and g(t) = (sint, cost), at t = 1. 2. Think
Find (fog)', evaluated at the indicated point. 1. f(x, y) = x' + y' and g(t) = (sint, cost), at t = 1. 2. Think about the answer to the previous problem, and argue why you got the answer you did using geometric language. 3. f(x, y) = va? + yz and g(t) = (t, cost), at t = 1. 4. Draw a picture in the plane that shows the curve g(t) and gives an idea (in terms of a geometric picture) what the composition fog in the previous problem does to an arbitrary input t
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