solve both part Find the absolute maximum and minimum values of f on the set D.f(x, y) = x2 + 4y2 – 2x – 8y + 1, D ={(x, Y) 10 s x s 2, 0 s ys 3}

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Find the absolute maximum and minimum values f(x, y) = x2 + 4y2 - 2x - 8y + 1, D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 14BEXP

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solve both part

Find the absolute maximum and minimum values of f on the set D.
f(x, y) = x2 + 4y2 – 2x – 8y + 1, D =
{(x, Y) 10 s x s 2, 0 s ys 3}
<ys.
absolute maximum value
absolute minimum value
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Find the absolute maximum and minimum values of f on the set D.
f(x, y) = x³ – 3x – y³ + 12y + 7,
D is quadrilateral whose vertices are (-2, 3), (2, 3), (2, 2), and (-2, -2).
absolute maximum value
absolute minimum value
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