(a) Define gradient of vector function of \(f(x, y, z)\) and find the derivative of \(f(x, y, z) = x^3 - xy^2 - z\) at \(p_0(1, 1, 0)\) in the…
BIT Basic Mathematics · 2080 · Solved Question with Answer
(a) Define gradient of vector function of \(f(x, y, z)\) and find the derivative of \(f(x, y, z) = x^3 - xy^2 - z\) 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 \(y = 1\).