Consider the following functions.

$F(x,y,z)=-zj+yk$

$r(t)=2ti+9tj-t^{2}k$

$(a)$ Evaluate the line integral ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}F*dr,$ where $Cis$ given $byr(t),-1t1.$

Impressive work.

$F(r(-1))$ starts $at(-2,-9,-1)$ and ends $at(x,y,z)=$

$F(r(-\frac{1}{2}))$ starts $at(-1,-4\mathrm{.}5,-0\mathrm{.}25)$ and ends $at$

$F(r(\frac{1}{2}))$ starts $at(1,4\mathrm{.}5,-0\mathrm{.}25)$ and ends $at(x,y,z)=|$

$F(r(1))$ starts $at(2,9,-1)$ and ends $at$