Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy= frr = fay= fwy = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order (e.g., (1,1), (2, -1), (2, 3) is a correct order) The critical point with the smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined)

Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy= frr = fay= fwy = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order (e.g., (1,1), (2, -1), (2, 3) is a correct order) The critical point with the smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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