Find the condition of c such thatx² + 2y² +3z² + c(xy + yz) > 0for all x, y, z & R with x² + y² + z² # 0.

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Find the condition of c such that x² + 2y² + 3z² + c(xy + yz) > 0 for all x, y, z ER with x² + y² + z² # 0.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.2: Applications Of Extrema

Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.

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Find the condition of c such that
x² + 2y² +3z² + c(xy + yz) > 0
for all x, y, z & R with x² + y² + z² # 0.

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