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2. (1 Point) Find the point on the ellipsoid x2 + 3y2 + 422 = 25 at which the function f(x, y, z) = 3x
2. (1 Point) Find the point on the ellipsoid x2 + 3y2 + 422 = 25 at which the function f(x, y, z) = 3x - 6y + 4z is maximized. 3. (1 Point) Let S be the surface = ! + = = 1, with r > 0,y > 0, > > 0. Find the point on S that is closest to the origin. (Hint: Minimize the square of the distance from (0, 0, 0) to (r, y, =) instead of just the distance. These two functions have a minimum at the same place, and using the distance-squared removes the square root and makes the differentiation easier.)
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