f(x, y) = x² + 2y²-ay-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 8f/0x and Of/8y. of/0x Of/dy (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).

f(x, y) = x² + 2y²-ay-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 8f/0x and Of/8y. of/0x Of/dy (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).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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