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Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
Who was Richardson's extrapolation named after? What are some of his significant contributions from his work in mathematics and/or related fields? Be sure to include at least one citation and reference for a scholarly source outside of your textbo..
Analyze the stability of the fixed points of linear differential systems. Provide several explicit examples, with graphical illustrations
How would the construction of the Lebesgue measure in R2 change if we assume at the beginning that the measure of the unit square [0, 1]Ã?[0, 1] is =2?
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
Elena's daughter sold 78 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troops sale. How many boxes did the troop sell?
Find the test value for two population variances
explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
suppose that cars arrive at a traffic light according to a Poisson process with a rate of one car per minute starting from t=0 minutes.
Calculate the value of the test statistic.
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
If 3 J of work are needed to stretch a spring from 12 cm to 14 cm and 5 J are needed to stretch it from 14 cm to 16 cm, what is the natural length of the spring?
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