Question

Help question attached

Answer 1

Problem 5 :
http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/assignments/ps11.pdf

Answer 2

@eliassaab

Answer 3

\(\large \mathbb{\vec{F} = (a\sin z + bxy^2)\hat{i} + 2x^2y\hat{j} + (x\cos z - z^2)\hat{k}}\)

Answer 4

curve :

\(\large \mathbb{x = \cos t}\)
\(\large \mathbb{y = \sin t}\)
\(\large \mathbb{z = t}\)

from \((1,0,0)\) to \((1, 0, 2\pi)\)