Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question 1 [
a. [
f(x, y):
] Use the method of Lagrange multipliers to find the extreme value(s) of
2² + y² subject to the constraint ² 2x + y² - 4y = 0
TR
b.
]For each of the extreme value(s) found in part (a) check if it is a maximum
or a minimum. justify your response by calculations.
=
] Compute the integral ff 2ydyda, where 0 ≤ x ≤ í, and
c. |
0 ≤ y ≤cosx
1779
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Transcribed Image Text:Question 1 [ a. [ f(x, y): ] Use the method of Lagrange multipliers to find the extreme value(s) of 2² + y² subject to the constraint ² 2x + y² - 4y = 0 TR b. ]For each of the extreme value(s) found in part (a) check if it is a maximum or a minimum. justify your response by calculations. = ] Compute the integral ff 2ydyda, where 0 ≤ x ≤ í, and c. | 0 ≤ y ≤cosx 1779
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