Answer
(3,3,3)
Work Step by Step
f(x,y,z) = x^{2} + y^{2}+ z^{2}
g(x,y,y) = x + y + z - 9
orthf = lam(ortho g)
2xi + 2yi + 2zk = lam[i+j+k]
2x=lam 2y=lam 2z=lam
x=y=z
x + x + x - 9 =0
x=3,y=3,z=3
(3,3,3)
(3,3,3)
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 14: Partial Derivatives - Section 14.8 - Lagrange Multipliers - Exercises 14.8 - Page 853: 25
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