Problem #3: Let F(x, y, z) = (3y, 4x, 3y). Use Stokes' theorem to compute Sc F. dr where C is the intersection of the cylinder x² + y² = 4 and the surface z = 8. The curve C is oriented counter clockwise as viewed from above.

Find the equation of the plane tangent to the surface S at (2, 3, 3) where S is parameterized by x = 2u²v², y = u +2v, z = 2u + v.

Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v)=u²i+ 3us invj +ucos vk; u=2,v=0 a. 24(z+2)-6(x-4)=0 b. 24(2-2) + 6(x+4)=0 24(z-2)-6(x-4)=0 C. d. 24(z-2) + 6(x-4)=0 12(z+2)-6(x-4)=0 e.