Hand written solution required

(1) LetEbetheportionofthe graphofz = 12 y2 insicleandonthaecylirlclerxz+y2 = 1. Looks kinda like a Pringle's crisp to me\" you should denitely graph this on one of the online plotters. The boundary of E, 32.: C Is a curve (the edge of the crisp). Orient C 1n the counterclockwise direction when viewed from the perspective of the positive z-ans Calculate the work done by the vector eld if = (xy, x2, yz) around C with the given orientation. (a) To the best of your ability, sketch the curve C in a right-handed, rectangular system of axes. Observe how painful it would be to attempt to parameterize this curve. (b) Parameterize the surface 2 with a function rst!) = (x(u,u),y(u,v),z(u,o)) so that N is in the same direction as F\" x FD. Be sure to state careful upper and lower bounds on the parameters u and v. (c) Compute G = curl (P) and C(i"(u,o)). (:1) Now, put your answers to parts (a) and (b) together, along with what you know about 53 and d5 to compute the integral and complete the solution. Your computation must contain a picture of the region of integration in the xiv-plane as well as citing any relevant theorems