Find the absolute maximum and minimum values of f(x, y) = 4(x - x²) sin(ny) on the rectangle 0 ≤ x ≤1, 0 ≤ y ≤ 2 and the points where they are assumed. Lütfen birini seçin: O A. maximum 2 at B. maximum 1 at O C. maximum 1 at 2'2 (11) (3) 22 O D. maximum 1 at O E. maximum 1 at 2) IN IN IN HIN 2'2 minimum -2 at minimum 0 at minimum -1 at minimum 0 at 10 at 2 N/W 2 2'2 minimum 0 at (0, 0), (1, 0), (0, 2), and (1,

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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Question
Find the absolute maximum and minimum values of f(x, y) = 4(x -
x) sin(ny) on the rectangle 0 sx s1, 0 sys 2 and the points where
they are assumed.
Lütfen birini seçin:
O A. maximum 2 at
minimum -2 at
B. maximum 1 at
minimum 0 at
2' 2
O C. maximum 1 at
minimum -1 at
22
D. maximum 1 at
minimum 0 at
E. maximum 1 at
minimum 0 at (O, 0), (1, 0), (0, 2), and (1,
2)
/2-IN
Transcribed Image Text:Find the absolute maximum and minimum values of f(x, y) = 4(x - x) sin(ny) on the rectangle 0 sx s1, 0 sys 2 and the points where they are assumed. Lütfen birini seçin: O A. maximum 2 at minimum -2 at B. maximum 1 at minimum 0 at 2' 2 O C. maximum 1 at minimum -1 at 22 D. maximum 1 at minimum 0 at E. maximum 1 at minimum 0 at (O, 0), (1, 0), (0, 2), and (1, 2) /2-IN
Use Lagrange multipliers to find the lengths of the major and minor
axes of the ellipse 2x2 + xy + 2y2 = 15, which has centre at the origin.
Lütfen birini seçin:
A. major axis 82, minor axis 4-2
B. major axis 12-2, minor axis &2
O C. major axis 10E, minor axis 62
D. major axis 5-2, minor axis 3/2
O E. major axis 6V2, minor axis 3-2
Transcribed Image Text:Use Lagrange multipliers to find the lengths of the major and minor axes of the ellipse 2x2 + xy + 2y2 = 15, which has centre at the origin. Lütfen birini seçin: A. major axis 82, minor axis 4-2 B. major axis 12-2, minor axis &2 O C. major axis 10E, minor axis 62 D. major axis 5-2, minor axis 3/2 O E. major axis 6V2, minor axis 3-2
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