Question: 1. Find the Lateral Surface Area under the surface: f(x, y) = xy, over the given curve C: x + y = 4, from



1. Find the Lateral Surface Area under the surface: f(x, y) = xy, over the given curve C: x + y = 4, from (2, 0) to (2, 0). -> (0,2) (2,0) x dS Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S f(xyz)=4x+4y, where S is the hemisphere x + y+z = 4, for z 2.0 Write a parametric description of the given hemisphere using up and v = 0. (u,v)=where 0 sus and sys (Type exact answers.) 2. Consider the surface area of the part of the surface f(x, y) = x2y3 + 10 that lies above the domain D given by -3 < y < 0, 1 < x < y + 4. Sketch the domain and set up the inte ral, but do not evaluate it.
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