A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola y=6−x^2. What are the dimensions of such a rectangle with the greatest possible area? Width= Height=

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

A: I have solved  with detail and find the dimensions.Given the final solution in boxes.

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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 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 rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Let us assume the side of bird sanctuary along the river side is x km and other side is y km. Since,…

Q: Two hundred forty meters of fencing is available to enclose a rectangular playground. What should be…

A: Consider the given perimeter of the rectangle as P=240m

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

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Q: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

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: 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: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to…

A: To find the dimensions of the largest field that can be enclosed with 800 feet of fencing

Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

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

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

Q: By using the method of least squares, find the best parabola through the points: (0, 3), (-1,–1),…

A: According to the given information, it is required to find the equation of parabola using the method…

Q: A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

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Q: A rectangle has a length 2 m less than twice its width. When 2 m are added to the​ width, the…

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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: 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: You have to cut four equal squares from each corner of the 8.5" x 11" paper in order to make an open…

A: The volume of a cuboid is given by the formula V=l×w×h. Here, l is the length of the box, w is the…

Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

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Q: A rectangle with length L and width W is cut into four smaller rectangles by two lines parallel to…

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Q: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

A: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

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 farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

A: Let the length and width of the rectangular garden be x and y respectively fence…

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 field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

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Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: How many square units is the area of the region bounded by a parabola y = 4x - x^2 and the lines x =…

A: The equation of the curves are given by C1 : y = 4x-x2 C2 : y = 4 C3 : x =-2 To evaluate : The area…

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 rectangular garden whose length is 4ft longer than its width has an area of 65 sqft. Find the…

A: Given:Area of the rectangular garden is 65 square feet.

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

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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: 2. The area of a rectangular field is 162 sq. m and its length is twice its width. Find the…

A: Given,            Area of the rectangular field is 162 sq. m

Q: Find a non-negative number whose difference from its square is a maximum.

A: non-negative number whose difference from its square is a maximum.  Let the no is x

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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