Question: Problem 5. Gradient. Calculate the gradient of the following scalar fields: (a) U = xy + xyz (b) V = pz sin o +

Problem 5. Gradient. Calculate the gradient of the following scalar fields: (a)

Problem 5. Gradient. Calculate the gradient of the following scalar fields: (a) U = xy + xyz (b) V = pz sin o + z cos? o + p? (c) f = cos 0 sin o Inr +r2o Problem 6. Gradient. If = x, + y, + z, is the position vector of point (x,y,z), r = |F), and n is an integer, show that Vr" = nr"-2F. %3!

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