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Generate the piece-wise function for the following problem:
A businessperson maintains inventory over a particular 30-day month as follows:Days Unitsdays 1-9 30 unitsdays 10-15 17 unitsdays 16-23 12 unitsdays 24-30 Steadily decreasing from 12 units to 0 units.
Sketch the graph of the inventory as a function of time t (days). At what times is the graph discontinuous?
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
Should the computer center purchase the new computers? (Normal Distribution)
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).
A closed recycling bi is in the shape of a rectangular box. Find the height of the bin if its length is 18 feet, its width is 8 feet, and its surface area is 496 square feet.
Using the method of separation of variables, solve the partial differential equation u subscript(tt)+2(pi)u subscript(t)-u subscript(xx)=-3sin(3(pi)x) for 0 less than or equal to x less than or equal to 1 with boundary conditions
How much will the company owe on the equipment if they buy it after 15 months?
Find the slope of the line 2x + y = 4. Find the point of intersection of the lines x + y = 5 and 3x - y = 7. Graph the pair of lines.
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
What is the volume in Cubic Yards of a linear pile of dirt with the dimensions of 182 foot long by 20 foot wide by 7 foot tall with a slope of 13 feet?
Explore and find a real-world application of a quadratic equation, whether it is from the realm of physics, finance, or anything else. Write a paragraph about what you find. In your description,
The cross section of an irrigation canal are isoscles triangles of which three sides are 8 feet long. Determine the angle of elevation.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
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