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The curve traced out from left to right by a dierentiable vector-valued function 30) is shown below on the contour plot of f(:r,y) from the

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The curve traced out from left to right by a dierentiable vector-valued function 30) is shown below on the contour plot of f(:r,y) from the previous page. For the rest of this problem 3(t) refers to this parameterization. C. [3 pts] Harper is asked to consider % [ f (360] at the point A (or, written more succinctly, $04)) Explain to Harper whether it is possible that gm) = 0. If it is possible that gm.) at 0, explain whether 04) should be positive or negative. D. [2 pts] Taylor claims that at Point A, the curve traced out by EU) in the above image could point in the direction {'1 in which an(A) is maximized. Determine if hylor is correct and explain your response

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