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1. Use the Klein model to show that in the hyperbolic plane there exists a pentagon with five right angles and there exists a hexagon with six right angles. (Hint: Begin with two lines having a common perpen- dicular. Locate the poles of these two lines, then draw an appropriate line through each of the poles, etc.) Does there exist, for all n >= 5, an n-sided polygon with n right angles? (Independence of the Parallel Postnlate)
A department store believes that telephone calls come into the switchboard at 10-minute intervals, according to a Poisson distribution. Before ordering new equipment, the store wishes to determine whether the Poisson model is a valid assumption.
Let R be the region bounded by the graphs of: y = x - sinx, y = pi and x = 0. Use a double integral to calculate the area of the region R
given that a position vector of the points abc are 6i2j6k 2i3jk and14i16k respectively .find vector ab and ac and
80,000 loan and a 38,250 mustbe repaid within ten years. What integer would represent your total budget?
A radio transmission tower is 574 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25o with the ground. How many feet long should the guy wire be?
Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. What rent should the manager charge to maximize revenue?
A farmer has a rectangular garden plot surrounded by 270 ft of fence. If its area is 3800 ft2, what is the length and width of the garden?
To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
Assuming that both patients are on time, find the average amount of time that the 1:30pm appointment spends at the doctor's office.
The zeros of this polynomial are the eigen values for the system. So, to find the eigen values for a system means solving a polynomial equation.
in the month of april your credit card which is charging you 9.9 the current prime interest rate has a balance of
They use 175 feet of fencing, the long side is not more than half of the total fencing, and the total area in the garden is 1711 square feet. What are the dimensions of the garden?
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