Question: 4. (Sethian) Use the transformation a: = U2, 3; = v2, z = 1112 to nd the volume of the region bounded by the surface

4. (Sethian) Use the transformation a: = U2, 3; = v2, z = 1112 to nd the volume of the region bounded by the surface $3 + W + J? = 1 and the coordinate planes. Here x 2 0, y 2 0, and z 2 0. 5. (Sethian) Given the vector eld F = (4a: 3:3/3, y3/3), nd the simple closed curve C in the my plane which makes the value of the line integral f0 F - n as big as possible, where n is the normal vector. You must explain your work

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