Section A Long Answer Questions. Attempt any TWO questions. (a) Define gradient of vector function of f(x, y, z) and find the derivative of f(x, y, z) = x^3 xy^2 z^2 at p 0(1, 1, 0) in the direction…

Section A Long Answer Questions. Attempt any TWO questions.

(a) Define gradient of vector function of $f(x,y,z)$ and find the derivative of $f(x,y,z)=x^3-x{y}^2-z^2$ at $p_0(1,1,0)$ in the direction of $\vec{V}=2\vec{i}-\vec{j}+6\vec{k}$. (b) Define Volume of the solid and find the volume of the solid generated by revolving the region bounded by $y=\sqrt{x}$ and the line $y=1$, $x=4$ about the line $y=1$.