16. Let C be the intersection curve between the plane x−2z=1 and the hyperboloid 9(x−1)2+(y−2)2−27z2=1. (Draw a sketch!)
Posted: Wed Jul 13, 2022 5:08 am
16. Let C be the intersection curve between the plane x−2z=1 and the hyperboloid 9(x−1)2+(y−2)2−27z2=1. (Draw a sketch!) Find an appropriate parametrization of C so that its projection on the xy plane is traversed counterclockwise with increasing parameter. Then compute the integral ∫C(2−y)dx+(x+z−1)dy+(2−y)dz.