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2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following borders: x=-1, x = 2, y = -1, y = 2 a) Sketch the region. b) Find fx and fy. c) Find critical points inside the region and mark them on your sketch of the region.

2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following borders: x=-1, x = 2, y = -1, y = 2 a) Sketch the region. b) Find fx and fy. c) Find critical points inside the region and mark them on your sketch of the region.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following borders: x=-1, x = 2, y = -1, y = 2 a) Sketch the region. b) Find fx and fy. c) Find critical points inside the region and mark them on your sketch of the region.
Transcribed Image Text:2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following borders: x=-1, x = 2, y = -1, y = 2 a) Sketch the region. b) Find fx and fy. c) Find critical points inside the region and mark them on your sketch of the region.
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