Given the quadratic function f(x, y) = x² + 2y²-ry-5x+13y - 22 (1) Put it in quadratic form to find the position of the vertex (all 3 coordinates) Quadratic form: Coordinates of the vertex (2) Compute of/or and af/dy. af/ar= af/dy=. (1) (3) Verify that both partial derivatives are 0 at the vertex of the function. Briefly explain why this may be the case. (4) Is the graph of this function a paraboloid or a saddle? (Justify your answer; guesses will not count).

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