A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y the dimensions of such a rectangle with the greatest possible area? 11 – x. What are 2 Width = %3D Height =

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A: Given

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Q: Draw the given optimization problem and solve. Find the dimensions of the closed cylinder volume…

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Q: A rectangle is inscribed with its base on the X-axis and its upper corners on the parabola y=…

A: A rectangle is inscribed with its base on the x-axis and its upper cornerson the parabola y=8-x2.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 –…

A: Area of rectangle  f(a) = 2a X 5 – a2 = 10a – 2a3 Maximum f(a) = 10a – 2a3 when 0 ≤ a ≤ √5 .f’(a) =…

Q: 5. Design a 4m³ open-top box shaped like a circular cylinder as shown in Figure. What dimensions…

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Q: 2. A rectangle is bounded by the x-axis and the semicircle y = V16 – x². What length and width…

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Q: A cardboard box with an open top and a square bottom is to have a volume of 30 ft3. Use a table…

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Q: rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: A rectangle is bounded by the x-axis and the parabola y=9-x². What length and width should the…

A: Solution :-   Given,A rectangle is bounded by the x-axis and the parabola y=9-x2Since, y aixs is the…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = What…

A: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=3-x2.…

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Q: Q2. Use the Method of Lagrange Multipliers to find the dimensions of the closed right circular…

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Q: 11. Find the dimensions of the rectangle with maximum area that can be inscribed in a semi - circle…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2 –…

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Q: A cardboard box without a lid is to be made with a volume of 4 ft3. Find the dimensions of the box…

A: Given details                                                volume = 4 ft3 Let cardboard dimension…

Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

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Q: 12 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y What…

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Q: A rectangle, R, has length L = 8 and width W = 3. What is the maximum area of the rectangle, Q, that…

A: We need to find maximum area.

Q: 8. A rectangle is bounded by the x-axis and the semicircle y = v64 – x². What length and width…

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Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

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Q: 5. Crunchy Coco Hunks cereal comes in a rectangular box that must be exactly 4 inches deep. If the…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A: Because the parabola is symmetric to the y-axis, the rectangle must also be symmetric to the…

Q: A farmer has 416 feet of fence in which to fence in the rectangular area with 2 dividers as shown to…

A: Given: Totol length of fence = 416ftLet say for rectangular regionLength = L (ft)Width = W (ft)Now…

Q: 3. A rectangle is bounded by the x-axis and the parabola y = 8- x2. What length and width should the…

A: In the question it is asked to calculate the dimensions of rectangle for which the area of rectangle…

Q: 0. Find the dimensions of a rectangle of maximum area that can be inscribed in a circle of radius 4…

A: Given:     radius ( r ) = 4 cm

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 –…

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Q: 2. A 27-in gutter is bent on two sides as shown. Find the r and o values that will maximize the area…

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Q: A rectangle is inscribed with ts base on the z-axis and its upper comers on the parabola y= 12-r Fre…

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Q: An Architect Plans To Build A Triangular Enclosure With A Fence On Two Sides And A Wall On The Third…

A: The given triangle is sketched below.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 –…

A: Given data: The given equation of the parabola is y=8-x2. The below figure shows a rectangle is…

Q: 10. Draw the given optimization problem and solve. Find the dimensions (in units) of the closed…

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Q: Find the length L and width W (with W < L) of the rectangle with perimeter 72 that has maximum ar L…

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Q: A rectangular page is to contain 64in2 of print. The margins on each side are to be lin. Find the…

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Q: Please help. Thank you!

A: According to the given information, a pentagon is formed by adding two sides of same length to…