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Problem 3 of 4 (8 pts). Let f (x, y, z) = exy cosz. Let F = Vf and consider the path r(t) = (t

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Problem 3 of 4 (8 pts). Let f (x, y, z) = exy cosz. Let F = Vf and consider the path r(t) = (t cost , t sint, t) from t = 0 to t = 10T. Part A) Setup but do not evaluate the line integral J F . dr for the given path. Part B) Setup and completely evaluate the line integral J F . dr for any convenient path of your choosing from r(0) to r(10TT). Part C) Make a well-reasoned argument for the answer in Part A. You still do not need to evaluate the integral from Part A

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