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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.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
Advantages and disadvantages of strategy I and strategy II for finding the occurrence of supernova problem - What are some possible strategies for solving this problem?
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B, or C.
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
Statistics - Probability, A professional chef's work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Friday, Justin, a professional chef, spent 2 hours shopping for ingredients
Jack and Jill ran a 100 meter race. Jill ran the race in 10 seconds and won by 10 meters; Jack had run only 90 meters when Jill crossed the finish line.
Important information about Mixture, A tank contains 1320L of pure water.A solution that contains .o1kg of sugar per liter enters a tank at the rate 3L/min
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
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