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Give a parametric description of the form r(u, v) = (x(u,v),y(u,v),z(u,v)) for the following surface. Evaluate the surface integral | | f(x,y,z) dS using a parametric description of the surface. The cap of the sphere x2 + y2 + z2 = 49, for 2 SZ f(x,y,z)=3x2 + 3y?, where S is the hemisphere x2 + 2 + z2 = 16, for z20 Select the correct choice below and fill in the answer boxes to complete your choice. (Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2nt. Type exact answers in terms of It.) Write a parametric description of the given hemisphere using u = q and v = 0. O A. r(u,v) = (7 sin u cos v,7 sin u sin v,7 cos u) for sus and svs r(u,v) = ) where Osus ]and svs O B. r(u,v) = (7 cos usin v,7 sin usin v,7 sin v) for sus and svs (Type exact answers.) O c. r(u,v) = (49 cos u,49 sin u,v) for sus and svs O D. r(u,v) = (7 cos u,7 sin u,v) for sus and svs Screen Shot 2022-12-21 at 5.11.22 PM Screen Shot 2022-12-21 at 5.15.53 PM Q Q Search Q Q Search Find the area of the following surface using the given explicit description of the surface. Find the area of the following surface using the given explicit description of the surface. The trough z = 2x, for - 25x52, 0sys5 The paraboloid z = 5 (x2 + y2) , for Oszs 20 Set up the surface integral for the given function over the given surface S as a double integral over a region R in the xy-plane. Set up the surface integral for the given function over the given surface S as a double integral over a region R in the xy-plane. JJ as= JJ(v1+16x2 ) dA S R SJas= SIda (Type an exact answer, using it as needed.) R The surface area is. (Type an exact answer, using it as needed.)