3. Find the minimum and maximum values of f(x,y) = y² – x² that lie on the circle x2 + y² = 1 usingLagrange Multiplier.[ANS: Max. value = 1 and min. value = -1]%3D4. Find the minimum and maximum values of f(x, y) = y2 - x² on the ellipse x2 + 4y² = 4 usingLagrange Multiplier.[ANS: Max. value = 1 and min. value = -4]

3. Find the minimum and maximum values of f(x, y) = y2 – x² that lie on the circle x? + y? = 1 using Lagrange Multiplier. [ANS: Max. value = 1 and min. value = -1] 4. Find the minimum and maximum values of f(x,y) = y? – x² on the ellipse x² + 4y² = 4 using Lagrange Multiplier. [ANS: Max. value = 1 and min. value = -4]

3. Find the minimum and maximum values of f(x, y) = y2 – x² that lie on the circle x? + y? = 1 using Lagrange Multiplier. [ANS: Max. value = 1 and min. value = -1] 4. Find the minimum and maximum values of f(x,y) = y? – x² on the ellipse x² + 4y² = 4 using Lagrange Multiplier. [ANS: Max. value = 1 and min. value = -4]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 42E

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