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Let S = {1,2,3,4,5,6,7,8}. Determine:
(a) The number of subsets of S
(b) The number of subsets of S with at most four elements
(c) The number of ordered lists with elements chosen form S (with possible repititions)
(d) The number of ordered lists with nine elements chosen form S with no repititions
(e) The number of element multisets chosen from S.
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
Determine the multiple integral under given condition using spherical coordinate - Determine the following triple integral by converting it to an appropriate coordinate system and integrating.
Plot a histogram of the variable age. Include an appropriate title to your histogram. Explain the plot.
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.
Using the Quotient rule, find the gradient of the function:
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
Stephanie claims that your model is fundamentally flawed, extend and refine your model to make it more realistic and clearly state any assumptions you used to create your model.
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..
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