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Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area...
Maximum perimeter rectangle Use Lagrange multipliers to find the dimensions of the rectangle with the maximum perimeter that can be inscribed with sides parallel to the coordinate axes in the ellipse x2/a2 + y2/b2 = 1.
A rectangle with sides parallel to the coordinate axes is inscribed inthe ellipsex2/a2 + y2/b2 = 1:Find the largest possible area for this rectangle.
8. (8 points) Use calculus to find the dimensions of the rectangle of largest area that can be inscribed in the region bounded by x+y=1, and the positive r and y axes. 0.8 0.6 0.4 x + y = 1 0.2 0.5
2. The area of a rectangle with vertices (±x, ±y) is 4xy. Use Langrange multipliers to find the maximum area of such a rectangle with vertices on the ellipse 4x 2 + y 2 = 32 2. The area of a rectangle with vertices (trty) is 4xy. Use Langrange multipliers to find the maximum area of such a rectangle with vertices on the ellipse 412 + y2-32. 2. The area of a rectangle with vertices (trty) is 4xy. Use Langrange...
BONUS: Use Lagrange multipliers to find the dimensions of the box with largest volume possible and total surface area of 48cm2
Use the technique of Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = x2 + y2 – 3x on the ellipse 3.+ y2 = 8.
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11-2P. What are the dimensions of such a rectangle with the greatest possible area? Width- Preview Height- Preview
The length and width of a rectangle must have a sum of 30. Find the dimensions of the rectangle that will have the maximum area. [hint: let x and 30-x be the length and width] the area can be described by the function f(x)=x(30-x).]
Use the method of Lagrange Multipliers to find the points on the surface ?? − ? 2 = 9 that are closest to the origin
(1 point) Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non-decreasing order (the answer may depend on r).