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You are building a glass fish tank that will hold 72 cubic feet of water. You want its base and sides to be rectangular and the top, of course, to be open. You want to construct the tank so that its width is 5 ft but the length and depth are variable. Building materials for the tank cost $10 per square foot for the base and $5 per square foot for the sides. What is the cost of the least expensive tank?
F(x,y,z)= S is the hemisphere x^2 + y^2 + z^2=9, z is greater than or equal to 0, oriented upward. Use Stoke theorem to evaluate double integral curl F *dS
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
What is the mean of the sampling distribution of p ˆ, the proportion of adults in samples of 500 who favor giving parents of school-age children these vouchers?
Find the variation constant and an equation of variation where y varies directly as x and y= 72 and x=8
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
Dotties Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 13 percent of the re..
A textbook store sold a combined total of physics and biology textbooks in a week. The number of biology textbooks sold was less than the number of physics textbooks sold. How many textbooks of each type were sold?
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