ezoid with the largest area that can be ibed in the circle of radius 3 as shown e following figure: epresents the smaller base of the ezoid and y represent the height of the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2 (2). It is desired 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 smaller base of the
trapezoid and y represent the height of the
trapezoid inscribed in the circle, then using the
method of Lagrange multipliers, the Lagrangian
L corresponds to:
Ty
A) L(r, y, A) = 3y +
- X(4x² + y² – 36).
TY
B) L(r, y, A) = 3y +
- A(2? + 4y? – 36).
|
C) L(r, y, A) = 3y + ry – (r² + y² – ).
Ty
D) L(r, y, A) = 3y +
- (2² + y² – 9).
Transcribed Image Text:2 (2). It is desired 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 smaller base of the trapezoid and y represent the height of the trapezoid inscribed in the circle, then using the method of Lagrange multipliers, the Lagrangian L corresponds to: Ty A) L(r, y, A) = 3y + - X(4x² + y² – 36). TY B) L(r, y, A) = 3y + - A(2? + 4y? – 36). | C) L(r, y, A) = 3y + ry – (r² + y² – ). Ty D) L(r, y, A) = 3y + - (2² + y² – 9).
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