Evaluate the surface integral. S z + x2y dS S is the part of the cylinder y2 + z2 = 16 that lies between the planes x = 0 and x = 3 in the first octant
Added by Jennifer B.
Step 1
Parameterize the surface S: Since S is part of a cylinder, we can use cylindrical coordinates to parameterize it. Let y = 4cos(θ) and z = 4sin(θ), where 0 ≤ θ ≤ π/2. Then, the parameterization of S is given by: r(θ, x) = (x, 4cos(θ), 4sin(θ)) Show more…
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