Curve of intersection of the surfaces z = x3 andy =sin x + z2 The curve can be parametrized as r(t) = < t, sin t + t6 , t3>Curve of intersection of the surfaces z = 3 x2 + y2 (elliptic paraboloid) and y = x2 (parabolic cylinder)The curve can be parametrized as r(t) = < t, t2 , 3t2 + t4>Curve of intersection of the surfaces x2 + y2 = 9 (cylinder) and z = xy (hyperbolic paraboloid)The curve can be parametrized as r(t) = < 3 cost , 3 sint , 9 cost sint >Curve of intersection of the surfaces x2 + z2 = 9 (cylinder) and y = x2 + z The curve can be parametrized as r(t) = < 3 cost , 9 cos2t + 3 sint , 3 sint >Curve of intersection of the surfaces z=x2 y2 (cone) and z = 1 + y (plane)The curve can be parametrized as r(t) = < t , (t2-1)/2 , 1 + (t2-1)/2 >Curve of intersection of the surfaces z = x2 + y2 (paraboloid) and 5x – 6y + z – 8 = 0 (plane)The projection of the curve on the xy plane is the circle x522 y−32=934The curve can be parametrized as r(t) = < −52932cos t , 3932sin t ,−52932cos t23932sin t 2