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1). Let D = {z: |z| < 1 } and find all Mobius transformations T such that T(D) = D.
2). Show that a Mobius transformation T satisfies T(0) = infinity and T ( infinity) = 0 if and only if Tz = az^-1 for some a in C ( C is complex plane).
Estimate rate of changes.
Discrete Probabilities - Expected Value of a Distribution. What is the expected value of a distribution and is it a reasonable number to use to describe a population with?
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
Please solve for x, y & z using the process of elimination method (non matrix method)
Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?
T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag.
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
Determine the dimensions of largest possible area of a rectangular garden - What are the dlmensions area if $1200 is to be spent for fencing material?
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Using minimax regret criterion, what decision should be made by the decision maker?
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