Answer each problems: 1) Use the following for problem 1 and 2: a = 2i + 3j - 5k b = 3i + 4j +2k a ?b2. a x b 3) Evaluate the partial derivative ??? ? sin Ø cos 2? 4) Determine the gradient f(x,y,z) = x2 + 2y3 – 4z -1 5) Use Lagrange Multipliers to find the maximum and minimum of f(x,y) = 3x – 5y subject to x2 + y2 = 8 6) -55y-22x2 y dxdy
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