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A building contractor wants to fence in a rectangular plot adjacent to a straight stream by using the stream for one side of the enclosed area. If the contractor has 200 feet of fence, find the dimensions of the maximum enclosed area.
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
Determining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
The symmetric group S_3 operates on two sets U and V of order 3. Decompose the product set U x V into orbits for the "diagonal action" g(u, v) = (gu, gv), when.
an inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter?
Find the eigenvalues and eigenvectors.
Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.
Given that with these definitions, V satisfies vector space axioms 1,2,3,6,8,9,and 10 determine whether or not V is a vector space by checking to see if axioms 4,5,7,are also satisfied.
Estimate the minimum sample size needed to estimate the population mean with the stated accuracy. Show all work.
Important information about Probabilty, A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair?
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