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an oil refinery is located at point R on the north bank of a straight river that is 2 km wide. a pipeline is to be constructed from the refinery to storage tanks located at point T on the south bank of the river 6 km east of the refinery. the cost of laying pipe is $400,000/km to run pipe over land to a point P on the north bank of the river and then $800,000/km to run pipe under the river to the tanks. where should the point P be located.
infenland,UK, the elevation fron sea level is -4meters. In san diego,US, it is +40ft. The elevation are given in different units. Explain how to tell which location has a greater elevation.
From the information given here, determine the 95% confidence interval estimate of the population mean.
The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mea..
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Find the probability that a randomly selected
Find the Taylor's formula for estimation of cosine function
Solve each linear equation. Show your work and check. Solve each equation by first eliminating the decimal numbers.
A tank initially contains 10 gallons of brine in which 3 pounds of salt are dissolved. A brine containing 2 lb/gal of salt runs into the tank at the rate of 2 gal/min. The mixture is well stirred and ows out of the tank at the rate of 1 gal/min.
Student arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed.
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
Please do NOT work this problem. but how would you know in this case whether to approach it from a min/max point? Is there anything other than the obvious "least" keyword?
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
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