A rectangle is bounded by the x- and y-axes and the graph of y = (5 - x) / 2 . What length and width should the rectangle have so that its area is a maximum

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A: Let the length of the rock garden = x meters breadth of the rock garden = y Fencing available = 34…

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Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

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A: Given equation  f(x) =5x-12-6

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Q: A rectangle is bounded by the x−axis and y−axis and the graph of y=(6-x) / 2. What length and width…

A: The area of the rectangle is given by the formula, A=x·y Since the point (x, y) lie on the line so…

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Q: Among all pairs of numbers whose sum is 4, find a pair whose product is as large as possible. What…

A: Let the pair be (x,y) such that, x+y = 4 Now,  y = 4-x ∴ xy = x(4-x) = 4x-x2

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Q: Mr. Camu wants to enclose his vegetable garden at the back of his estate with a fence on 3 sides. He…

A: Since Mr. Camu has 30m of fencing. As he wants to enclose his vegetable garden with a fence on 3…

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Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

A: Two numbers having sum 16 We need to find all pairs of numbers having sum 16 and whose product is as…

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A: Consider x as the width of the rectangular field. Given that, 1000 yards of fencing materiel has…

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

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A: Solution: The objective is to find the two numbers with the difference 90 and whose product is a…

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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: Suppose you have to fence two rectangular fields with the same dimensions that share a common side.…

A: Suppose you have to fence two rectangular fields with the same dimensions that share a common side.…

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

A: Given query is to find the attached maximum area inclosed by 800 meter wire l.

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: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

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A: Consider a rectangle with length of 2x and height is y.

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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 rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 16 -…

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Q: Using a row of shrubs as one side and fencing for the other three sides, a rectangular patio will be…

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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 sheet of paper for a poster contains 18 cm² of area. Tha margins at the top bottom are 0.75 cm and…

A: Let dimensions of paper piece  are x cm and y cm.

Q: Of all numbers whose difference is 6, find the two that have the minimum product.

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Q: A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal…

A: This question is based on application of derivative.

Q: Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. What…

A: Let one number be = xAnother number be = yGiven that, their sum is 24.x+y = 24y = 24-x…

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Q: A rectangle has one vertex at the origin, one on each positive axis, and the fourth on the line…

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Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 69 inches.…

A: Given that, A courier service will deliver a package only if the length plus girth does not exceed…

Q: What is the maximum area he can enclose?

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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: 3x2 If (x) = x² + 1

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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: Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What…

A: Sum is 20 and product is maximum.

Q: A rectangular field is to be bounded by a fence on three sides and by a straight stream on the…

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Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: A rectangle has one side on the xx-axis and two vertices on the curve y=2/(4+x^2) Find the vertices…

A: Given information:A rectangle has one side on the x-axis and two vertices on the curvey=2/(4+x^2)