Question
\begin{array}{l} \text { (a) }\\ F(x, y, z)=3 x^{2} y^{2}-2 z^{2} x+y^{3} \text { . } \end{array} \text { (i) Find } \nabla F \text { . } \text { (iii) Find } \nabla^{2} F \text { . } \quad \text { [5 mark } Find the directional derivative of F(x,y,z) at the(ii)point (1, 1, -1) in the direction i-2j+k. (b)A fluid with
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