Question: A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field. a) What radius of the semicircles...

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A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the roof...

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A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the roof...

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A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the roof...

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The base of the shed is 6 m long and the door must be at least 1 m vertically from the roof of the shed. 1. What is the largest area the doorway can have and what are its dimensions...

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The Eco-venture charter company offers local environmental excursions. The fare is $45 per person if up to 30 passengers sign up for the trip. (Note: The company does not offer the trip if fewer than...

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Liz Energy drink is to be sold in 472 mL cylindrical cans. Since it is a new product the package designers want the cans to be more visible when displayed with competing products so they want the...

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An open-top box is to be constructed so that its base is twice as long as it is wide. Its volume is to be 2300 cm^3. FInd the dimensions that will minimize the amount of cardboard required. Make: Length...

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The number y (in millions) of VCRs in use in the United States for the years 1990 through 2003 can be modeled by y=-0.17t^2+4.3t+60., where t=0 represents 1990 a. Using your graphing calculator...

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A certain company produces a certain item. The profit, in thousands of dollars, generated by selling x units of this item, is given by P(x)=-.001x^3+3x, where x is measured in thousands. a...

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Jane wants to build a rectangular shaped dog pen. She has 500 feet of fencing and she wants to make the area as large as possible. a. What should the dimensions be to maximize the area? b...

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A cylindrical can is to have a volume of 1L. a) Find the height and radius of the can that will minimize the surface area b) What is the ratio of the height to the diameter? Do pop cans...

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A rectangular piece of paper with perimeter 100 cm is to be rolled to forma cylindrical tube. Find the dimensions of the paper that will produce a tube with maximum volume.

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There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produces drop by...

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Find the point on the graph of y=x2 +1 that is closest to the point (8, 3/2).

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Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices...

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6 segments of a window frame are to be constructed from a piece of window framing material 6 m in length. A carpenter wants to build a frame for a rural gothic style window, where the triangle ABC...

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A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.

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A showroom for a car dealership is to be built in the shape of a rectangle with brick on the back and sides, and glass on the front. The floor of the showrrom is to have an area of 500 m2. a)If...