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A fishery stocks a pond with 5000 young trout. The number of trout t years later is P(t)=5000e^(-0.4t) Find the average change in the population in the last month of the first year.
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
Find the nearest distance using cosine rule - To the nearest KM, how far is the airplane from the airport?
You toss two dice - probability, You toss two dice and compute the "difference," which you will define to be the larger top number minus the smaller top number if the numbers are different, and 0 if the numbers are the same.
Sketch the curve for y = sin(x) between x = 0 and x = 2?, then find the total area enclosed by the curve y = sin x and the X axis between x = 0 and x = 1.7.
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
using the substation Method or elimination Method. If you can show the work on how to solve these problem.
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. What is the ratio of the area of triangle EOC to TRIANGLE abc?
Smalltown Elevator produces elevator rails. To meet specifications, an elevator rail must be between 0.995 inches and 1.005 inches in diameter. Suppose that the diameter of an elevator rail follows a normal random variable with mean of 1 inch
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
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