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Question: Show that if the smallest prime factor p of the positive integer n is larger than √3 n, then n/p is prime or equal to 1. A set of integers is called mutually relatively prime if the greatest common divisor of these integers is 1.
A computer processes jobs on a first-come first-serve basis in a time-sharing environment. The jobs have Poisson arrival rates with an average of six minutes between arrivals.
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.
Fnd two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.
Find the volume of the resulting solid when the region bounded by y=3x^2+5x, y=0, and x=4 is revolved about the x-axis
A group of environmental professionals developed the graph show the reducation in carbon monoxide in country. Find the average rate of change for carbon monoxide levels for each period.
the cost of transporting a large truck load was $35 dollars ,that of a small one was $25. what is the mos economical way of shipping the 150 machines?
airplane B takes off 60 minutes after airplane A and heads in the same direction. if airplane A travels with a constant velocity of 735 mph and airplane B with a constant velocity of 1070 mph, in how many hours will airplane B to catch up to airpl..
The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. What is the observed value for the average number of television sets per household?
Write an inequality, using x to represent your gross monthly salary and y to represent your monthly car payment, which could be used to calculate the range of payments that will work in your budget.
Define what it means for a function from the set of positive integers to the set of positive integers to be one-to-one.
Each day the police received twice as many calls as the day before. After they got a total of more than 300 calls, the police took the phone off the hook! On what day did the police receive their 300th call?
Show that the following family is not complete by finding at least one nonzero function u(x) such that E[u(X)]=0, for all theta >0.
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