The temperature on a sheet of metal is known to vary according to the following function T(z,9) - 4z-2ry We are interested to fnd the maximum temperature at the intersection of this sheet with a gindrical pipe of negligitie thicness. The equation of the intersection cunve can be approvimated as Fed the coordinates for the location of masimum temperature, the Lagrangian mutiplier and the value of temperature at the optimum point Write your answer with two decimal places of accuracgy. HINT: F there are more than one critical point you can use substitution in the objective function to select the masimum Enter your results here: Optimum value of z Optimum value of y Optimum value of A Optimum value of T

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.13P
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The temperature on a sheet of metal is known to vary according to the following function:
T(z,9) – 4z - 2ry
We are interested to find the maximum temperature at the intersection of this sheet with a cylindrical pipe of negligible thickness. The equation of the intersection curve can be approximated as:
2+-4
Find the coordinates for the location of maximum temperature, the Lagrangian multiplier and the value of temperature at the optimum point. Wnite your answer with two decimal places of accuracy.
HINT: IF there are more than one critical point, you can use substitution in the objective function to select the maximum.
Enter your results here:
Optimum value of z
Optimum value of y
Optimum value of A
Optimum value of T
Transcribed Image Text:The temperature on a sheet of metal is known to vary according to the following function: T(z,9) – 4z - 2ry We are interested to find the maximum temperature at the intersection of this sheet with a cylindrical pipe of negligible thickness. The equation of the intersection curve can be approximated as: 2+-4 Find the coordinates for the location of maximum temperature, the Lagrangian multiplier and the value of temperature at the optimum point. Wnite your answer with two decimal places of accuracy. HINT: IF there are more than one critical point, you can use substitution in the objective function to select the maximum. Enter your results here: Optimum value of z Optimum value of y Optimum value of A Optimum value of T
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