8. (3 points) Find the volume under the surface $z = 3x^2 + y^2$, on the triangle with vertices (0,0), (0,2) and (4,2).
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Step 1
To find the equation of the plane, we need to find two vectors that lie on the plane. We can use the two sides of the triangle as vectors. Vector A = (2,0,4) - (0,0,0) = (2,0,4) Vector B = (4,2,0) - (0,0,0) = (4,2,0) Now, we can find the normal vector to the Show more…
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