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Consider a simple convex polyhedron ? in R3 with N = 33 edges. Take a linear function L not equal to a constant on each edge of ?: 1) How many vertices and faces are there in ?? 2) How many vertices of ? have index one with respect to L ? Hint: use Dehn-Sommerville relations and its proof using a linear function.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)
Suppose p3 represents the proportion of patients who showed improvement after one month of therapy three times a week and p2 represents the proportion of patients who showed improvement after one month of therapy twice a week. A 95% confidence int..
Find the center (h,k) and radius r of the circle and then use these to Graph the circle
A poster is to have an area of 250 in2 with 3 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Which of the following would not be a continuous random variable?
Find the dimensions of the largest acceptable box with square front and back. (Let x be the measurement of one side of the square front. Let y be the length of the box.)
sketch the curves given by the following parametric equations find corresponding cartesian equations if possible.a in
Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
Elena's daugther sold 84 boxes of girl scout cookies. She was told that this amount was 5% of the troops sales. How many boxes did the troop sell?
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
an architect has allocated a rectangular space of 429 sq ft for a square dining room and a 20 ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space
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