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Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x - 1)2 + (y-2)² + (z-2)², x² + y² + z² = 36 Lütfen birini seçin: O A. Maximum: 81 at (-2,-4,-4); minimum: 9 at (2, 4, 4) O B. Maximum: 77 at (-4,-4, -2); minimum: 13 at (4, 4, 2) O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4,4) O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)

Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x - 1)2 + (y-2)² + (z-2)², x² + y² + z² = 36 Lütfen birini seçin: O A. Maximum: 81 at (-2,-4,-4); minimum: 9 at (2, 4, 4) O B. Maximum: 77 at (-4,-4, -2); minimum: 13 at (4, 4, 2) O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4,4) O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)

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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Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x – 1)2 + (y - 2)2 + (z – 2)², x² + y²+z² = 36 Lütfen birini seçin: O A. Maximum: 81 at (-2, -4, -4); minimum: 9 at (2, 4, 4) O B. Maximum: 77 at (-4, -4, -2); minimum: 13 at (4, 4, 2) O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4, 4) O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)
Transcribed Image Text:Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x – 1)2 + (y - 2)2 + (z – 2)², x² + y²+z² = 36 Lütfen birini seçin: O A. Maximum: 81 at (-2, -4, -4); minimum: 9 at (2, 4, 4) O B. Maximum: 77 at (-4, -4, -2); minimum: 13 at (4, 4, 2) O C. Maximum: 49 at (-2, 4, -4); minimum: 41 at (2, -4, 4) O D. Maximum: 77 at (-4, -2, -4); minimum: 13 at (4, 2, 4)
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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