${\displaystyle \underset{C}{\overset{\phantom{}}{}}}F*dr=$

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$($b$)$ Use a computer to graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve $C$ and the surface that you used in part $($a$).$

Find parametric equations for $C$ and use them to graph $C.($Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.$)$

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$(x(t),y(t),z(t))=(,x)$ for $0t2$