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Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section as shown in the figure. Only the positive values of "a" and "b" are valid, then, lambda must be negative case it is the square root of a value (take the negative solution for lambda). The area of the shape must be 1,304 squared inches y(in) x(in) What is the value of "b" in inches for ther optimized perimeter?

Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section as shown in the figure. Only the positive values of "a" and "b" are valid, then, lambda must be negative case it is the square root of a value (take the negative solution for lambda). The area of the shape must be 1,304 squared inches y(in) x(in) What is the value of "b" in inches for ther optimized perimeter?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 31E
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Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section as shown in the figure. Only the positive values of "a" and "b" are valid, then, lambda must be negative in case it is the square root of a value (take the negative solution for lambda). The area of the shape must be 1,304 squared inches y(in) а b x(in) What is the value of "b" in inches for ther optimized perimeter?
Transcribed Image Text:Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section as shown in the figure. Only the positive values of "a" and "b" are valid, then, lambda must be negative in case it is the square root of a value (take the negative solution for lambda). The area of the shape must be 1,304 squared inches y(in) а b x(in) What is the value of "b" in inches for ther optimized perimeter?
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