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Foundationse'Comprehension (No technology, show ALL work!!!) 1. If W = eand U = Lnx + 11):), then according to the Chain Rule for partial derivatives,

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Foundationse'Comprehension (No technology, show ALL work!!!) 1. If W = eand U = Lnx + 11):), then according to the Chain Rule for partial derivatives, W;- = and W}r = . {2 points} 2. Compute the erect Ieugt of the curve generated by the vector function r'Tt} = (ENE, 935(1) , sin(t}) for D 5 t E 1. {5 points) 3. Suppose that 3x3 + Txy 5323 = 33. Using either technique covered in class= compute the following (4 points each): a) er b) s], 4. Evaluate the following double integral after reversing the order of integration from Type 2 to Type 1 (5 points): 4 2 S Sex dxdy 0 Vy 5. Evaluate the following triple integral (5 points): 1zy SSS ze-y dxdydz 0 0 0

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