Consider the surface S given by x + 3y + z = 9 where x ∈ [0, 2] and y ∈ [0, 5]. Evaluate the surface integral ∫(x + 3y) dS.
Added by Timothy A.
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Step 1
First, we need to find the normal vector to the surface S. We can do this by taking the gradient of the function x + 3y + z - 9: grad(x + 3y + z - 9) = <1, 3, 1> So the normal vector to S is <1, 3, 1>. Show more…
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