For each quadratic function and constraint a) Write the matrix associated with the quadratic form. b) State the minimum value and maximum value of the function associated with the constraint. c) State all locations where the minimum value and maximum value occur. B= 6 2_ 3. z = 4x₁² + 4x₁x₂ + x₂² − 24x₁ − 12x₂-36, (x₁ − 3)² + x² = 1
For each quadratic function and constraint a) Write the matrix associated with the quadratic form. b) State the minimum value and maximum value of the function associated with the constraint. c) State all locations where the minimum value and maximum value occur. B= 6 2_ 3. z = 4x₁² + 4x₁x₂ + x₂² − 24x₁ − 12x₂-36, (x₁ − 3)² + x² = 1
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CM: Cumulative Review Exercises
Problem 60CM
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Transcribed Image Text:For each quadratic function and constraint
a) Write the matrix associated with the quadratic form.
b)
State the minimum value and maximum value of the function associated with the
constraint.
c) State all locations where the minimum value and maximum value occur.
B= 6
2
2
3. z = 4x₁² + 4x₁x₂ + x₂² − 24x₁12x₂ - 36, (x₁ − 3)² + x² = 1
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