Answered: 4. Find the points on x² + y² + z² =…

4. Find the points on x² + y² + z² = 25, %3D where the temperature T(x, y, z) = x² + 4y² + 9z², is maximum and where is minimum.

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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Question

4. Find the points on
x² + y² + z²
= 25,
%3D
where the temperature
T(x, y, z) = x² + 4y² + 9z²,
is maximum and where is minimum.

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