Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If fx(xo, Yo) = f(xo, Yo) = 0, then f has a relative extremum at ( (xo, Yo, ²o). True. False. f(x, y) = x² - y² then fx(0, 0) = f(0, 0) = 0, but (0, 0, 0) is a saddle point. False. f(x, y) = 1 - x² - y²has a relative maximum at (0, 0, 0). False. f(x, y, z) = x² + y² + z²has a relative minimum at (0, 0, 0).

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If fx(xo, Yo) = f(xo, Yo) = 0, then f has a relative extremum at ( (xo, Yo, ²o). True. False. f(x, y) = x² - y² then fx(0, 0) = f(0, 0) = 0, but (0, 0, 0) is a saddle point. False. f(x, y) = 1 - x² - y²has a relative maximum at (0, 0, 0). False. f(x, y, z) = x² + y² + z²has a relative minimum at (0, 0, 0).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

See similar textbooks