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If two trains are 100 miles apart traveling directly toward each other, with one moving at 5 mph and the other moving at 10 mph, and a fly starts at the front of one train and goes directly toward the other train at 15 mph, then turns around when it reaches it and flies back, etc. until the trains collide, how far will the fly move?
which station is really selling the cheaper gas and how much cheaper is that gas?
Find and sketch the domain of the function f(x; y) = (4-x2-y2)(1/2) + (1-x)(1/2). Draw a contour map of the function f(x; y) = y sec x showing several level curves.
Dr. Sand borrowed some money to buy new furniture for her office. She paid $182.88 simple interest on a 5.5-year loan at 9.5 percent. Find the principal.
What is the domain of this function? How much water will be left in the pool after 14 minutes? How long will it take for the amountof water in the pool to be reduced to 392 gallons?
Use exponential smoothing to find the forecast of shipments
(a) Find the minimum of the function f(x,y,z)=(x-2)2 +(y-1)2 +z2 subject to the constraint x2 + y2 + z2 = 1, using the method of Lagrange multipliers.
you enter a 3 mile walk race and win. your time is 28.2 minutes. write and inequality about the average speed of second place walker.
Find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→∞ Sn to obtain the value of the series or state that the series diverges.
Find the standard equation of a parabola with vertex at (5,1) passing through the point (10,-4). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
Find the score that marks the top 5 percent
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
What are all the values that a standard deviation s can possibly take?
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