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A rancher has 300 feet of fence to enclose 2 adjacent pastures.
A) Express the total area A of the 2 pastures as a function of x, the length of the side parallel to the river. What is the domain of A?B) Graph the area function and estimate the dimensions that yield the maximum area for the pasturesC)Find the dimensions that yield the maximum amount of the area for the pastures by completing the square.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
Sketch the given region R and then find its area. R is the rectangle with vertices (1, 0), (-2, 0), (-2, 5), and (1, 5).
Which asset would the risk-averse financial manger prefer?
Find the height of the window x = 24 in. from the center of the base. (Round your answer to one decimal place.)
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
Plot the straight line developed from the Linear Trend equation, and the actual Peak demand versus the time, with time being the independent variable.
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
Calculate the yield of a wafer with a 15 cm diameter, a cost of 12, contains 84 dies and has a 0.020 defects/cm^2
what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form.
Find the average value of the function f(x) = cos^3x on the interval 0
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