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Consider f(z) = [(z-i)(z+4)(z-3)]^(-1) restricted to the domain of definition 0 < |z|< infinity
How many different Laurent series centered at z_0 = 0 does it have? Explain.
Discuss the convergence and divergence sets of each of those Laurent series.
Find two non-zero terms of the Laurent series which represents this f for all z outside some circle |z| = R but diverges inside the circle and find the numerical value of R. Is this function f(z) analytic at 0? at infinity? Explain.
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Estimation : Binomial Distribution Suppose T is a random variable such that
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Determine whether the series is convergent or divergent.
For what values of a in R (real numbers) is the function (1+x^2)^a in L^2. Let L^2 be like in Lebesgue integration where the set of all measurable functions that are square-integrable forms a Hilbert space, the so-called L2 space.
Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.
Calculation of Probability - Normal Distribution - find the probability that a randomly selected employee
Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
Evaluation of probability of randomly selected customer- Normal Distribution
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
Use taylor series expansion to find the given variables.
Problem on speed.
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