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QUESTION 9 Le tf(x, y.z) be a function with the gradient vector < 2, 6, 12 >. What are the extreme points of f with constraint x2 + y2 +z² = 46 ? O a. ( 1, 4, 6) O b. ( 1,2, 4 ) and (1, -2, 4) OC. (1, 3, 6 ) and (-1, -3, -6 ) O d. (-1, -3, 6) and ( 1, -3, 6) Oe. (1, -3, -6)

QUESTION 9 Le tf(x, y.z) be a function with the gradient vector < 2, 6, 12 >. What are the extreme points of f with constraint x2 + y2 +z² = 46 ? O a. ( 1, 4, 6) O b. ( 1,2, 4 ) and (1, -2, 4) OC. (1, 3, 6 ) and (-1, -3, -6 ) O d. (-1, -3, 6) and ( 1, -3, 6) Oe. (1, -3, -6)

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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QUESTION 9 Letf(x, y.z) be a function with the gradient vector < 2, 6, 12 >. What are the extreme points of f with constraint x2 + y2 +z2 = 46 ? O a. ( 1, 4, 6 ) Ob. ( 1,2, 4 ) and (1, -2, 4) OC. (1, 3, 6) and (-1, -3, -6 ) O d. (-1, -3, 6 ) and ( 1, -3, 6) O e. (1, -3, -6)
Transcribed Image Text:QUESTION 9 Letf(x, y.z) be a function with the gradient vector < 2, 6, 12 >. What are the extreme points of f with constraint x2 + y2 +z2 = 46 ? O a. ( 1, 4, 6 ) Ob. ( 1,2, 4 ) and (1, -2, 4) OC. (1, 3, 6) and (-1, -3, -6 ) O d. (-1, -3, 6 ) and ( 1, -3, 6) O e. (1, -3, -6)
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