Let \vec{F} = (4xy - 3x^2z^2)\hat{i} + (2x^2)\hat{j} - 2x^3z\hat{k}
(i) Find a scalar potential for \vec{F}.
\psi(x, y, z) =
note: Answer should have \text{'+C'} in it, where C is some constant
(ii) Find the work done in moving from (1, 1, 0) to (2, -1, 1) by the above force field.
W =
(iii) Solve the differential equation $(4xy - 3x^2z^2)dx + 2x^2dy - 2x^3zdz = 0$
= K, where K is a constant