A vertical dashed line divides a rectangle into two pieces as show in the figure. Find the value of the coordinate of x that maximizes the product of the two areas. 2 1

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A: In this question we have to find which option is good.

Q: Optimization An open-top rectangular box is to have a square base and a surface area of 100 cm2.…

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A: Let, two sides= x and another side= y So, 2x+y=12  y=12-2x

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Q: Of all numbers whose sum is 54, find the two that have the maximum product. That is, maximize Q = xy…

A: The answer is found in step-2

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A: Given: A rancher is building a horse pen on the corner of her property using 1000 ft of fencing.…

Q: Side) You have O Yor wont to build a that is divided in half vertically (making I Smaller…

A: We have to find the length of dividing side to maximize area.

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: Determine the dimensions of a box with a square base and no lid for which we have 10 m2 of material…

A: Explanation and solutions is given below.....

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Q: 31. Cost In redecorating an office, the cost for new carpeting is $40 per square meter and the cost…

A: Concept: The Lagrange multiplier method: The Lagrange multiplier method is a method for determining…

Q: 20. Minimizing surface area. Drum Tight Containers is designing an open-top, square-based,…

A: Volume of a cuboid is lbh. Since it is mentioned that it is square-based so l=b. l2h=62.5 in3…

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A: The available wood trim is 8+π. The window the of the shapes semi-circle and rectangle.

Q: A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We get only minimize the total area.

Q: 55. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that…

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Q: You must show all work to receive full credit. 1. In order to ship a box through the US Postal…

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Q: A rancher has 200ft of fencing with which to enclose two rectangular corrals (see figure). What…

A: The rancher has 200ft of fencing to enclose two rectangular corrals. The given figure shows that the…

Q: Two triangular pens are built against a barn. One hundred forty meters of fencing are to be used for…

A:

Q: 7. A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

A: The solution of the problem is given in the next steps.

Q: Of all numbers whose sum is 46, find the two that have the maximum product. That is, maximize Q = xy…

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Q: 2) The diagram shows a square with cross-section x units by x units, and 9- 2x units. Find maximum…

A: From the given diagram; The expression for the volume of the given prism is:…

Q: A school is building a 1 km race track. The school wants the track to be as big as possible. What…

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Q: 1. (. A box is to be made from a rectangular sheet of paper by cutting out squares from the corners…

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Q: 6-x 4. A rectangular page is bounded by the x – axes, the y – axes, and the line y = What length and…

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Q: Find a formula for the volume of the box in terms of æ V(x) = Find the value for æ that will…

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Q: A rectangular page is to contain 24 square inches of print.  The margins at the top and bottom of…

A: From the given information, the area of the printed page is xy=24. xy=24y=24x The length of the…

Q: Cost In redecorating an office, the cost for new carpeting is $5 per square foot and the cost of…

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 25 inches by 40 inches.…

A: Solution: x+y=402x+y=20

Q: In redecorating an office, the cost for new carpeting is $3 per square foot and the cost of…

A: Solve

Q: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One boundary of…

A: Given: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One…

Q: A covered box is to be made from a rectangular sheet of cardboard measuring 20 inches by 32 inches.…

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Q: An open box has a surface area of 20 where the box has a square base. What function should be used…

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

Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: You need to help a designer to determine the dimension of a poster. The poster is a rectangular…

A: Given:

Q: A sheet of paper 62 cm-by-62 cm is made into an open box (i.e. there's no top), by cutting x-cm…

A: Given that, A sheet of paper 62 cm-by-62 cm is made into an open box by cutting x-cm squares out of…

Q: 6. Eva wants to fence two rectangular plots of land. Both plots must have the same dimensions and…

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Q: A farmer has 800 feet of fencing with which to build a holding pin with a cattle shoot at one end as…

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Q: at on the the ocean is 3 km from the nearest point on a straight shoreline; that point is 10 km from…

A: Given query is to find the point on the shore line she should start walking to minimize the time.

Q: iece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent…

A: SOLUTION-

Q: You are constructing a box out of cardboard with the dimensions 2 m by 3 m. You then cut equal-size…

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

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

A: From the given diagram:The cross-sectional area…

Q: A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 . − x One piece…

A: To find- the total area of two figures.

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A: Length = 13Width = 10 So, when we cut the square of edge, x we get : length of box = 13 - 2xwidth of…

Q: .A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

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Q: 9. If 1200 square centimeters of material is available to make a box with a square base and an open…

A: Use second derivative test

Q: Say a farmer out in Corpus Christi wants to build two rectangular pens in this formation: If the…

A: Given that the length of region is l and width is w.The perimeter is given by 2l+w. Since the farmer…

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

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