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02-06-2023
Mathematics

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3. Consider the vector-valued function given by r(t) = et² i + cosh(t)j. (a) Find r'(t). Make sure to show your work. (b) Consider the scalar function W(t) = ln [cos² (t) + 1]. Find the derivative Dt [W (t)r(t)]. (c) Find the derivative Dt [r (W(t))].

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