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A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 28 miles per hour, determine how many barrels of oil are used..
Each of four friends orders a sweatshirt from a catalog. There are 15 colors of sweatshirts, 6 of which are all cotton and 9 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends o..
find the exponential function of the form y=ae kx that goes through the points (0,4) and (2,9).show all your steps and use four decimal places.
If the top side is black, what is the chance that the other side is white?
Operations Research: Duals Q. Write the dual of this problem, sketch the feasible region of the dual, and find the dual solution graphically
A random sample of 33 adult men had a mean weight of 182.5 pounds and a standard deviation of 22.5 pounds. Find a 99% confidence interval for the mean weight of adult men.
Derive an expression using the given data - Show that this reduces to the integration-by-parts formula if u and v are continuous across x = c. It is not necessary for du/dx and dv/dx to be continuous at x = c.
Find the derivative using logarithmic differentiation
Find the true mean completion time of the task
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
If $655 is invested in an account that earns 9.75%, compounded annually, what will the account balance be after 15 years?
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