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We want to find the dimensions of the trapezoid with the largest area that can be inscribed in the circle of radius 3 as shown in the following figure: If x represents the minor base of the trapezoid and y represents the height of the trapezoid inscribed in the circle, then using the Lagrange multiplier method, the Lagrangian L corresponds to xy A) L(x,y, X) = 3y + - (x² + 4y² – 36). 2 - |

We want to find the dimensions of the trapezoid with the largest area that can be inscribed in the circle of radius 3 as shown in the following figure: If x represents the minor base of the trapezoid and y represents the height of the trapezoid inscribed in the circle, then using the Lagrange multiplier method, the Lagrangian L corresponds to xy A) L(x,y, X) = 3y + - (x² + 4y² – 36). 2 - |

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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We want to find the dimensions of the trapezoid with the largest area that can be inscribed in the circle of radius 3 as shown in the following figure: If x represents the minor base of the trapezoid and y represents the height of the trapezoid inscribed in the circle, then using the Lagrange multiplier method, the Lagrangian L corresponds to xy A) L(x, y, A) = 3y + - (x² + 4y² – 36). 2 - xy B) L(x, y, X) = 3y + (x² + y² – 9). - xy C) L(x, y, X) = 3y + – (4x² + y² – 36). 2 D) L(x, y, A) = 3y + xy – \(x² + y² – 9).
Transcribed Image Text:We want to find the dimensions of the trapezoid with the largest area that can be inscribed in the circle of radius 3 as shown in the following figure: If x represents the minor base of the trapezoid and y represents the height of the trapezoid inscribed in the circle, then using the Lagrange multiplier method, the Lagrangian L corresponds to xy A) L(x, y, A) = 3y + - (x² + 4y² – 36). 2 - xy B) L(x, y, X) = 3y + (x² + y² – 9). - xy C) L(x, y, X) = 3y + – (4x² + y² – 36). 2 D) L(x, y, A) = 3y + xy – \(x² + y² – 9).
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