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Now consider maximising -x² + 4x - y² + 10y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Your Answer:

Now consider maximising -x² + 4x - y² + 10y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Your Answer:

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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Now consider maximising -x2 + 4x - y² + 10y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Your Answer: Answer Question 5 In the previous question, z² + y? = 1 corresponds to points on the surface of the sphere while x² + y? < 1 corresponds to points inside the sphere. Choose all true statements about the problem. For all cases considering points within the sphere, it is impossible to satisfy the first order conditions. ) For all cases where y is strictly negative, the Lagrangian multiplier associated with this constraint has a value of 0. | For all cases considering points within the sphere, there is a complementary slackness check violated. For all cases where y is zero, there is a complementary slackness condition violated.
Transcribed Image Text:Now consider maximising -x2 + 4x - y² + 10y within the same sphere, but with the added restriction that y is not positive. At the optimum, what is the value of the Lagrange multiplier associated with the sphere restriction? Your Answer: Answer Question 5 In the previous question, z² + y? = 1 corresponds to points on the surface of the sphere while x² + y? < 1 corresponds to points inside the sphere. Choose all true statements about the problem. For all cases considering points within the sphere, it is impossible to satisfy the first order conditions. ) For all cases where y is strictly negative, the Lagrangian multiplier associated with this constraint has a value of 0. | For all cases considering points within the sphere, there is a complementary slackness check violated. For all cases where y is zero, there is a complementary slackness condition violated.
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