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A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 12 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
An open box is to be made from a square piece of sheet metal by removing a square of side 3 inches from each corner and turning up the edges. If the volume of the box is to be 1728 cubic inches, what is the length of the sides of the square of the..
The normal daily human potassium requirement is in the range of 2000 to 6000 mg, with larger amounts required during hot summer weather. The amount of potassium in food varies, depending on the food.
a metal storage tank with volume 9 pi ft^3 is to be constructed in the shape of a right circular cylinder surmounted on the top by a hemisphere. what dimensions will require the least amount of material.
If the manager of the retail store wants to be sure that hehas enough suits for the next 5 days, how many should the manager purchase?
A swimming pool is 16 feet wide and has transverse cross-sections which look like: If the pool is being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 2 feet?
Mrs.perrin,the school music teacher,spent twice as much money on sheet music as she did on cds. The total amount of money that she spent for sheet music and cds was one third of her monthly music budget of $189. How much money did Mrs.perrin spend..
Graph the given function and label the vertex - Complete the square to write each function as a transformation.
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
The perimeter of a standard high school basketball court is 268ft. the length is 34ft greater than the width. Find the length and the width of the court.
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w|
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
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