Please solve (c) using the provided answers for (a) & (b) in the screenshot. Handwriting is preferred. Thanks! (a) Use Stokes' Theorem to evaluateF. dr where F(x, y, z) = x?yi + j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y2 - x2 and the cylinder x2 + y2 = 1 oriented counterclockwise as viewed from above.F. dr = T(b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curveC and the surface.1.01.00.50.50.0-0.-0.5-1.0-1.01.01.00.50.5-0.5-0.5-10-10-1.0-1.0-0.5-0.500000.50.51.01.01.01.00.50.50.0-0.5-0.5-1.0,-1.01.01.00.50.5Z0.0t-0.5-0.5-10-10-1.0-1.0-05-0.5000.00.5051.01.0(c) Find parametric equations for C and use them to graph c. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t where osts 27.)

(c) The curve, C can be easily parametrized using the following parametrization: x=cos t, y=sin t [Check that it satisfies x2+y2=1. Note that y=cos t , x=sin t will not work since, it will not yield counterclockwise orientation for 0≤t≤2π] Now, z=y2-x2=sin2 t-cos2 t=-(cos2 t - sin2 t)=-cos 2t. Thus, C={(x,y,z): x=cos t, y=sin t, z=-cos 2t with 0≤t≤2π}. The following image shows the intersecting curve and the surfaces: