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Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
Write an equation and solve: Each month an employee has $75 invested in a stock investment plan. This amounts to 5 percent of the employee's monthly salary. Find the monthly salary.
A small business buys a computer for $3700. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time.
Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen.
Calculate the value of appropriate test statistic
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
A union official wanted to get an idea of whether a majority of workers at a large corporation would favor a contract proposal. She surveyed 500 workers and found that 240 did not favor the proposal.
Amy paid $81.11 for a pair of shoes during a 40% off sale. What was the original price?
Important information about Probability and Statistics Find the probability distribution of the value x. mean , variance and standard derivation
Which city had the greater absolute growth in population? Which city had the greater percentage growth in population?
A tree stands on a hillside of slope 28 degrees from the horizontal. From a point 75 feet down the hill, the angle of elevation to the top of the tree is 45 degrees. Find the height of the tree.
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