(a) Sketch the surface z=x^2+4y^2 (b) Find a unit vector to the surface at the point (1, 0, 1) (c)


Question: (a) Sketch the surface \(z={{x}^{2}}+4{{y}^{2}}\)

(b) Find a unit vector to the surface at the point (1, 0, 1)

(c) Find all the points on the surface where the normal line is parallel to the vector (2, 8, -1)

(d) Set up but do not evaluate the iterated integral for the volume of the solid bounded by \(z={{x}^{2}}+4{{y}^{2}}\) and the plane \(z=4\)

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Solution: The solution consists of 2 pages
Solution Format: Word Document

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