Question: Let f(x, y, z)=2x 2 y 2 sin x + z 2 and v(x, y, z)=3e x , xz, y2 z be scalar and vector
Let f(x, y, z)=2x 2 y 2 sin x + z 2 and v(x, y, z)=3e x , xz, y2 z be scalar and vector fields respectively. (a) Find f(0,1,1)[5 marks](b) Evaluate v(0,3,5)[2 marks](c) With u = v(0,3,5) from part (b), find the directional derivative of f(x, y, z) in the direction of u at the point (0,2,4)
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