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Problem 1 Calculate the divergence of the following vector functions: Choose only one (a) Va = x²z x + zy³ ŷ+ yz² 2. (b) V =zy + 2zy ŷ+ 3zx 2. Problem 2 Calculate the curls of the following vector functions: Choose only one (a) Va = x²z x + zy³ ŷ+ yz² 2. (b) V =zy + 2zy ŷ+3zx 2. Problem 3 Check product rule (iv) (by calculating each term separately) for the functions: A = x^x + 2y y + 3z ^z ; B=3y^x-2x "y. Rule (iv) V (Ax B) = B (VA)-A (VxB), Problem 4 Calculate the Laplacian of the following functions:

Problem 1 Calculate the divergence of the following vector functions Choose only one a Va xz x zy ŷ yz 2 b V zy 2zy ŷ 3zx 2 Problem 2 Calculate the curls of the class=


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