Maximise -x2 + 0.4x-y2 + 0.2y using only points within the spherex² + y < 1What is the value of y at the optimum? (Round to one decimal point.)Answer:Now consider maximising -x2 + 12x - y2 + 20y within the same sphere, but with the added restriction that y is not positive. At theoptimum, what is the value of the Lagrange multiplier associated with the sphere restriction?Answer:

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Answered: Maximise -x2 + 0.4x - y2 + 0.2y using…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.5: Systems Involving Nonlinear Equations

Problem 38PS

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Maximise -x2 + 0.4x - y2 + 0.2y using only points within the sphere x² + y < 1 . What is the value of y at the optimum? (Round to one decimal point.) Answer: