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Show that any complex number z with |z| = 1, other than z = 1, can be expressed as
z = (t -i)/(t + i)
with an appropriate choice of the real parameter t.
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
Calculate an exponentially smoothed forecast, using an alpha value of .30.
The Snell law to find the index of refraction
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Determine the exact value of cos (α - β)- terminal side in the second quadrant
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.
Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
Formulate a linear programming model for the problem.
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
using the substation Method or elimination Method. If you can show the work on how to solve these problem.
Probability problems based on Poisson & Normal distribution
Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85.
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