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How do you find (and what is it) the principal branch of the following complex powers:
(e/2)(1-i(sqrt(3)))^(3pi*i)
and
(1-i)^(4i)
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Chez Paul is contemplating either opening another restaurant or expanding its existing location. Define Quantitative Methods of Business
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.
Application of law of cosines to pentagons - evaluate the perimeter of the pentagon. Show sketch and equation.
Rational and Jordan Canonical Forms, Find the rational canonical form and the Jordan canonical form(if possible) for the linear tansformations f: R^3->R^3 given by the matrix
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Change into symbolic notation - Roses are red and violets are blue
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
Test for independence of attributes
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