We want to find the dimensions of the rectangle with the largest area that can be inscribed in the parabola of equation: x=4-y^2 If X and Y represent the dimensions of the inscribed rectangle shown in the figure, when applying Lagrange Multiplication method, L is? A) L(x, y, A) = ry - X(y² + 4x-16). B) L(r,ỵ,A)=r– A(2y? +2r – 8). C) L(x, y, A)=xy-A(y² + x-4). D) L(x, y, A)=xy-A(y² + 2x-8).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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We want to find the dimensions of the rectangle with the largest area that can be inscribed in
the parabola of equation: x=4-y^2
If X and Y represent the dimensions of the inscribed rectangle shown in the figure, when
applying Lagrange Multiplication method, Lis?
A) L(x, y, A) = xy - X(y² + 4x-16).
B) L(x, y, A)=xy-A(2y² + 2x-8).
C) L(x, y, A)=xy-A(y² + x-4).
D) L(x, y, A) = xy-X(y² + 2x-8).
Transcribed Image Text:We want to find the dimensions of the rectangle with the largest area that can be inscribed in the parabola of equation: x=4-y^2 If X and Y represent the dimensions of the inscribed rectangle shown in the figure, when applying Lagrange Multiplication method, Lis? A) L(x, y, A) = xy - X(y² + 4x-16). B) L(x, y, A)=xy-A(2y² + 2x-8). C) L(x, y, A)=xy-A(y² + x-4). D) L(x, y, A) = xy-X(y² + 2x-8).
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