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MINIMIZING CONSTRUCTION COSTS A man wishes to construct a cylindrical barrel with a capacity of 32π ft3 . The cost/square foot of the material for the side of the barrel is half that of the cost/square foot for the top and bottom. Help him find the dimensions of the barrel that can be constructed at a minimum cost in terms of material used.
Mary's age now is 6 years more than twice the sum of the ages of her two children. In 3 years her age will be 22 years less than three times the sum of their ages. How old is Mary now?
Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b. hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
You have a brick of parallelepiped shape. You need to measure its diagonal (a distance between two opposite vertexes remote to the maximum).
Find the order of accuracy for the Improved Euler Method using a Taylor Series Expansion.
a trapezoid has an area of 80.75 sq. in., and its two bases are 7 and 12 inches long. find the height of the trapezoid.
A 297-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times as long as the second. How long is each piece of rope?
Venture capital in internet-related companies in the first quarter of 1996 was $148.7 million. In the first quarter of 1997, venture capital increased to $309.1 million. Find the percent increase in venture capital for internet-related companies f..
After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time t (greater than one hour)?
Determine the number of k-faces of the 3-dimensional crosspolytope X3 for k = 0, 1, 2. What is another name for X3?
Perform the indicated operations and write your result in lowest terms and what fraction of the parasitic infections were heartworm parasites?
karens financial aid stipulates that her tuition not exceed $1000. If her local community college charges $35 registeration fee plus $375 per course, what is the greatest number of courses for which Karen can register?
Find the total profit,the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5000+8x.
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