$1$ $1$ $1A$ $8$ Find the work done in moving a particle in the force field. $F=2x^{2}i+\left(2yz-x\right)+$ yk, along $\left($ (a) $\right)$ the straight line from $\left(0.0.0\right)$ $t0\left(3,1.2\right)$ $\left($ (b) $\right)$ the space curve $x=31^{2}$ $y=1,$ $z=3t^{2}-1$ from $1=0101=1$

Find the work $done$ in moving a particle in force field $F=3x^{2}i+\left(2xz-$ – $y\right)\right)$ $+$ zk along the curve defined by $x^{2}$ $=$ $4y$ $3x^{3}$ $=8z$ From $x=0tox=2$

cor Calculus oonipna $23$ field given by Find the total work done in moving $a$ particle in a $lO\pi ce$ $→$ $β=$ $\left(2x-y+z\right)i$ $+$ $\left(x+y-z\right)i$ $+$ $\left(3x-2y-5z\right)k$ along a circle C $\left(Ans.$ $18x$ in the $\times y$ plane $x^{2}+y^{2}=9,z=0$ al work done in moving a particle by a $t0rCe$ field $v=t^{2}$ $,$ $z=t^{3}$ from $\left(0,0,0$ $6$