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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 television camera is 30 ft from the sideline of a basketball court 94 ft long. the camera is located 7ft from the
As a business owner, there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles: Model A and Model B..
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
How many acres should the farmer allow for each vegetable in order to maximize profit?
The arrival rate for a certain waiting line system obeys a Poisson distribution with a mean of 05. unit per period. It is required that the probability of one or more units in the system not exceed 0.20.
Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).
Find the area of the region bounded by the x-axis and the function f(x)=2x/(x^2+4) over the interval [-2,2].
aml distribution, 2.25% of the area lies to the left of 42 and 2.25% of the area lies to the right of 48. Find the mean and standard deviation.
A poster is to have an area of 150 in^2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250.
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