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Frequencies for mobile radio (or cellular) telephones are assigned by zones. Each zone is assigned a set of frequencies to be used by vehicles in that zone. The same frequency cannot be used in different zones when interference can occur between telephones in these zones. Explain how a k-tuple coloring can be used to assign k frequencies to each mobile radio zone in a region.
Consider the situation described- A critical dimension (measured in mm) is of interest to the process engineer. Suppose that five fixed positions are used on each wafer (position 1 is the center) and that two consecutive wafers are selected from e..
How many pounds of each ingredient should be used to minimize the total cost of producing 3000 pounds of the mix, and what is the total cost? Are any of the reduced costs for any of the ingredients greater than 0? Interpret. If XYZ can increase the ..
Find the lengths of both circular arcs on the unit circle connecting the point and the point that makes an angle of with the positive horizontal axis.
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
The yearly production of a 6 foot is 22 pounds of oranges. A 16 foot tree produces 86 pounds.
A pizza pan is removed at 8:00 PM from an oven at a fixed temperature of 400 degrees into a room that is a constant 72 degrees. After 5 minutes, the pan is at at 300 degrees F. At what time is the pan 135 degrees?
We manufacture refrigerators in Nashville, TN. The petroleum crisis has raised the price of gasoline to $3.75 for regular and diesel to $4.35 per gallon. In January, they were $3.00 and $3.50 respectively. Diesel engines get about 30% better milea..
Use a rectangle to explain the process of adding 1/4 and 2/3 - Explain your answer. What multiplication problems are represented by each of the following area models? What are the products?
If f is continuous on [0,1] and if (integral from zero to one of (f(x) x^n)dx)) =0 for n in the Naturals, prove that f(x)=0 on [0,1]/ Hint: The integral of the product of f with any polynomial is zero. Use the Weierstrass approximation theorem to ..
q1)The table gives the population of the United States, from census figures in millions, for the years 1900 to 2000.
A semicircular plate rests on the x-axis, between x = -2 and x = 2. Assuming that the density of the plate varies with a continuous mass-density function given by ρ(y) = (1+y) gram / square cm, find the total mass of the plate.
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
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