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Determining the maximum area of a Norman window with the fixed perimeter of 16 feet.
Anorman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). Find the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
Provide a definition by recursion of a function F such that for every wff (well formed formula) A, F(A) is a wff (well formed formula) obtained from A by replacing all occurrences of p with q and all occurrences of q with p simultaneously. (For ex..
after linda spent 25% of her saving on her tour, she had $4200 left in her savings account. how much savings had linda at first?
Problems on linear regression equation
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
Determine the coefficients of the function if the coordinates of the vertex of the parabola are the ordered pair (-100,-5000) and the fixed cost is $5000. Determine the domain and range of the variables, is the vertix a minimum or a maximum, why?
Find the least number of cables required to connect eight computers to four printers to guarantee that four computers can directly access four different printers. Explain.
How are they interpreted in terms of the original problem? Are the results reasonable? If not, what are the failings of the model that led to poor results?
What"s special about the exponential function ex ? What relationship do the functions ex and ln(x) have? What are some applications of exponential or logarithmic functions?
determine the number of children who made the trip if C(n)=192.00.
Given the following figure, where L1 and L2 are parallel, find the value of x and the measures of angle A and angle B. A = 2x + 62, B = 4x - 18
How much work is required to remove all of the water by pumping it over the side? Use the physical definition of work, and the fact that the weight of the Kool-Aid contaminated water is sigma = 65.9 lbs/ft^3 Don't forget to enter the correct units..
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