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RACETRACK DESIGN The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 1760 ft (1/3 mi). Find l and r so that the area enclosed by the rectangular region of the racetrack is as large as possible. What is the area enclosed by the track in this case?
Assuming the lifetime of the batteries is normally distributed; determine the number of days that at least 95% of the batteries will last beyond.
Find a solution of the differential equation that satisfies the initial condition y(1) = 3.
Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x2 + 4sqrt(x)
What is the net present value of the more attractive alternative?
A car rental agency rents 220 cars per day at a rate of 31 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
The valve is 25 cm on each side. The valve can withstand an average pressure of 1000 N/cm2. At what depth should the valve be placed below the top of the reservoir?
Show that the adjustment coefficient is log(3/2). If Un denotes the amount you have at time n, show that Un is not a martingale. At time 20 you have a total of 4 units. What is E((2/3)U50 )?
Write an equation in slope-intercept form for the line described.
Prove that a Hamiltonian Closure of a simple graph G is Hamiltonian if and only if G is.
Assume that you want to find the dimensions of a rectangular garden of 100 square meters for which the amount of fencing needed to surround the garden is as small as possible.
A car company is conducting a sweepstakes
according to the college boards report the average tuition and fees at four year private colleges and universities in
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