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A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
A determined gardener has 130 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 1000 ft2. What range of values is possible for the length of her ..
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Make a 95 percent confidence interval on the variable age.
Calculate the 95% confidence interval for the population mean, based on the sample mean.
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
Construct the circle through the excenters of triangle ABC. How is its center related to the circumcenter and incenter of triangle ABC?
From a lot of 10 missiles, 4 are selected at random and fired. If the lot contains 3 defective missiles that will not fire, what is the probability that
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
What percent of new expansion should be financed by equity?
A plane is heading due south with an air speed of 125 mph. There is a constant wind blwoing from the west at 30 mph. Find the plane's ground speed and heading.
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