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Question: We have k books to arrange on the n shelves of a bookcase. The order in which the books appear on a shelf matters, and each shelf can hold all the books. We will assume that as the books are placed on the shelves they are moved as far to the left as they will go so that all that matters is the order in which the books appear and not the actual places where the books sit. When book i is placed on a shelf, it can go between two books already there or to the left or right of all the books on that shelf.
(a) Since the books are distinct, we may think of a first, second, third, etc. book. In how many ways may we place the first book on the shelves?
(b) Once the first book has been placed, in how many ways may the second book be placed?
(c) Once the first two books have been placed, in how many ways may the third book be placed?
Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by the equation p+x2=196 where p is measured in dollars and x is measured in units of a thousand. How fast is the quantity demanded weekly changing when..
Compute the population vectors xk for k = 1,,,,,,,,20. Discuss what you find.
A ball drops from a height of 19 feet. Each time it hits the ground, it bounces up 35 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Find the dimensions of a right circular cylinder that is open on the top, isolated on the bottom, holds 1 liter, and uses the least amount of material.
in a study of 11000 car crashes, it was found that 5599 of them occured within 5 miles of home (based on insurance company data). use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
The scores on a psychological pro le test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10.
1. Solve log3x+log3(x+8)=2 2. Find (f o g)(x) if g(x) =f-1(x) is the inverse of the function f(x).
Assuming these lines are taut and the ground is level, what is the distance between the points on the ground where the two tether cords are attached (rounded to one decimal place)?
what is the missing dimension of the square pyramid s=14yd, V=489yd3
The quotient of a number and 2 subtracted from 5
complete assignment. to be completed on pdf or .doc or .dox ltbrgt
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