A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=3−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Q: A farmer needs to take a rectangular plot of land and divide it into 6fields of equal area. He has…

A: First of all, construct the diagram as per the question.Let, l = length of the field. b = breadth…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Total length of wire is =800 m It is given that A rectangular plot of  farmland will be bounded on…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given 2300m of wire is used for fencing three sides and one side is covered by river

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Q: By cutting away identical square from each corner of a rectangular piece of cardboard and folding up…

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Q: A rectangle has a length which is twice that of its width. Also, it's area is twice that of its…

A: This question is related to area and perimeter of rectangle, we will solve it using the given…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2000 m, and one side of plot is bounded by a river. To…

Q: what is the largest area

A: Given, A rectangular plot of farmland will be bounded on one side by a river and on The other three…

Q: A rancher plans to make four identical and adjacent rectangular pens against a​ barn, each with an…

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Q: A rectangular portion of a pasture next to an irrigation canal is to be enclosed by a fence with no…

A: We have given a rectangular portion of a pasture. The area of the rectangular pasture = 87362 square…

Q: A farmer has 600m of fence to enclose a rectangular divided pasture adjacent to an existing wall. He…

A: In question given that  farmer has 600m of fence to enclose a rectangular divided pasture adjacent…

Q: A farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

A: Solution : Let suppose the length, width and height of the suitcase is x, y, and z respectively.…

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Q: A rectangular box without a lid must be made at a cost of $15 for stuff. If the material for the…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

A: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

Q: A rectangle is inscribed in a parabola y²=8x with one of its vertical side passes through the point…

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Q: An open box is to be made from a square piece of material, 12 inches, by cutting equal squares from…

A: Here we use the concept of APPLICATIONS OF DERIVATIVES

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: The maximum volume of a box with a square base is taller than it is wide. In order to send the box…

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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 rectangle is constructed with its base on the​ x-axis and its upper two vertices on the parabola y…

A: Given informationRectangle base is on x axisTop on parabola

Q: An open box is constructed by cutting square corners with side x cm from a 150-cm by 100-cm sheet of…

A: According to the problem, we have

Q: two chicken coops are to be built adjacent to one another from 144ft of fencing. WHAT DIMENSIONS…

A: Let the length of the individual chicken coops = x ft Let the width of the individual chicken…

Q: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

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Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

Q: By using the method of least squares, find the best parabola through the points: (-1,–2), (1,0),…

A: Given data: x -1 1 2 0 y -2 0 3 0 The general equation of the parabola is y=c0+c1x+c2x2…

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 21 and with…

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Q: A rectangle is bonded by the X axis and the Parabola f(x)=16 - 0.25x^2. What length and width should…

A: NOTE: Refresh your page if you can't see any equations. . the length of the rectangle is  and the…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a…

A: Given a rectangular plot of farmland bounded by river on one side and fencing on other three sides.…

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: The Perimeter of rectangular field = 800 m Let length of field = x m Width of field = y m

Q: There is a line through the origin that divides the region bounded by the parabola y 2x 5x? and the…

A: Shown below

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use…

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Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A: Given query is to find the dimensions of the gardern to minimize the cost.

Q: A rancher plans to make four identical and adjacent rectanglar pens against the barn each with an…

A: Let the length and width of the rectangular pen against barn be x and y. Consider the four identical…

Q: . A rectangular piece of land has 3200 m?, it is going to be fenced and divided into three equal…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

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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: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

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Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall…

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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: A rectangular field is to be fenced off along a river. No fence is required along the river. If the…

A: The following figure is shown below. Given the fence costs for two ends are $ 60 per foot and $ 90…

Q: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

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Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a…

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