Use Q(x) = 7x² +7x3-12x₁x₂ to answer parts (a) through (c). (a) Find the maximum value of Q(x) subject to the constraint xx=1. (b) Find a unit vector u where this maximum attained. O A. O C. si- s- a (c) Find the maximum of Q(x) subject to constraints x x = 1 and xTu=0. C O B. O D. -|-~ √√2 65 -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Subject: algebra 

Use Q(x) = 7x² +7x3-12x₁x₂ to answer parts (a) through (c).
(a) Find the maximum value of Q(x) subject to the constraint xx=1.
(b) Find a unit vector u where this maximum attained.
O A.
O C.
si s-a
(c) Find the maximum of Q(x) subject to constraints x x = 1 and xTu=0.
C
O B.
O D.
√√2
65 -
Transcribed Image Text:Use Q(x) = 7x² +7x3-12x₁x₂ to answer parts (a) through (c). (a) Find the maximum value of Q(x) subject to the constraint xx=1. (b) Find a unit vector u where this maximum attained. O A. O C. si s-a (c) Find the maximum of Q(x) subject to constraints x x = 1 and xTu=0. C O B. O D. √√2 65 -
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