Find the extreme values, if any, of the following four functions. Check whether they are maxima or minima by the determinantal test. 1. z= x? + 3x3 – 3x; x2 + 4x2x3 + 6x} 2. z = 29 – (x} -- x3+ x}) 3. z = x1 x3 + xỉ - X2 + x2X3 + x3 + 3x} 4. z = e2x + e™Y + em - (2x + 2e" - y)

Find the extreme values, if any, of the following four functions. Check whether they are maxima or minima by the determinantal test. 1. z= x? + 3x3 – 3x; x2 + 4x2x3 + 6x} 2. z = 29 – (x} -- x3+ x}) 3. z = x1 x3 + xỉ - X2 + x2X3 + x3 + 3x} 4. z = e2x + e™Y + em - (2x + 2e" - y)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 20EQ

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2 3 and 4 please, thanks in advance

Find the extreme values, if any, of the following four functions. Check whether they are
maxima or minima by the determinantal test.
1. z= x? + 3x3 – 3x; x2 + 4x2x3 + 6x}
2. z = 29 – (x} -- x3+ x})
3. z = x1 x3 + xỉ - X2 + x2X3 + x3 + 3x}
4. z = e2x + e™Y + em - (2x + 2e" - y)

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