Determine the maximum area of a rectangle with one side on the -axis and the opposite corners touching the parabola y = x ^ 2 + 9

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: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

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

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

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Q: A rectangular lot is bordered on one side by a stream and on the other three sides by 600m of…

A: let the length of the plot be L and width be W therefore the perimeter is 600=2L+W  since one side…

Q: A farmer has 480 meters of fencing with which to build two animal pens with a common side as shown…

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Q: A rectangle sheet of cardboard measures 16 cm by 6 cm . equal squares are cut out of each corner and…

A: We need to find maximum volume.

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches…

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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: 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 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: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a…

A: topic- application of derivatives

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: The given equation of the parabola is,

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

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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: A rectangle is bounded by the x-axis and the semi-circle y = √(36 − x^2). What length and width…

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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 rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard…

A: To find: The size of square to be cut from the corner of cardboard to maximize volume and also find…

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: A poster must have 32 sq. in, of printed matter with margins of 4" each at the top and 2" at each…

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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: An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from…

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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…

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: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: A rectangle has one corner at the point (0,0), a second corner on the posit below. What is the…

A: Let the length of the rectangle be "y" and breadth be "x". The expression for the area of the…

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 rectangle is to be inscribed between the parabola y = 4 -x² and the X- axis, with its base on the…

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Q: An open box is formed by cutting identical squares from each corner of a 4 inches by 4 inches sheet…

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Q: A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: There is a line through the origin that divides the region bounded by the parabola y=8x−4x2y=8x-4x2…

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: A piece of wire of length 200 ft is bent into the shape of a rectangle. Which dimensions produce the…

A: Given:  Length of wire = 200 ft Wire is bent into the shape of a rectangle So, perimeter of…

Q: A poster must have 32 sq. in. of printed matter with margins of 4” each at the top and 2” at each…

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image 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: A rectangular enclosure is built against a wall, which forms one side of the enclosure. If there is…

A: Let 'x' be the width of rectangular enclosure and 'y' be the length of rectangular enclosure.

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A: Given A rectangular building is to be built on a triangular corner lot with the perpendicular sides…

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What…

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Q: find the maximum volume of a rectangular box that a post office will accept for delivery of the sum…

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