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1.) Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w| < 1 and the boundary of the half plane maps to the boundary of the disk (the circle |w| = 1.
2.) Find the image of the semi-infinite strip x > 0, 0 < y < 1, under the transformation w = i/z. Sketch the strip and its image.
Find the prime of function
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What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
Multiply and simplify the given expression - Multiply and simplify: (2x 3 + 3) (5x - 6 + x 2 )
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Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
A company manufactures tables and chairs. Each chair requires 2.5 hours of assembly and 0.5 hours of packaging. Each table requires 5 hours of assembly and 0.65 hours of packaging(Please show all work)
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Jack and Jill ran a 200 meter race. Jill ran the race in 25 seconds and won by 5 meters; that is Jack had run only 195 meters when Jill crossed the finish line.
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