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4. Find the extreme values of the function f(x, y, z) = xy + z^2 on the circle of intersection of the plane y-x = 0 and the sphere x^2+y^2+ z^2=4. What is difference between the absolute maximum and minimum values? Select one: а. 2 b. 4 с. 1 d. 5/2 C e. 9/2

4. Find the extreme values of the function f(x, y, z) = xy + z^2 on the circle of intersection of the plane y-x = 0 and the sphere x^2+y^2+ z^2=4. What is difference between the absolute maximum and minimum values? Select one: а. 2 b. 4 с. 1 d. 5/2 C e. 9/2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 4:** Find the extreme values of the function \( f(x, y, z) = xy + z^2 \) on the circle of intersection of the plane \( y - x = 0 \) and the sphere \( x^2 + y^2 + z^2 = 4 \). What is the difference between the absolute maximum and minimum values? **Select one:** - a. 2 - b. 4 - c. 1 - d. 5/2 - e. 9/2
Transcribed Image Text:**Problem 4:** Find the extreme values of the function \( f(x, y, z) = xy + z^2 \) on the circle of intersection of the plane \( y - x = 0 \) and the sphere \( x^2 + y^2 + z^2 = 4 \). What is the difference between the absolute maximum and minimum values? **Select one:** - a. 2 - b. 4 - c. 1 - d. 5/2 - e. 9/2
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