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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.
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing?
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
A textbook store sold a combined total of 462 biology and chemistry textbooks in a week. The number of biology textbooks sold was two times the number of chemistry textbooks sold. How many textbooks of each type were sold?
application of matrices in real word problems.five neighborhoods nb all want to raise money for a playground for their
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
the following table summarizes the results from a two-factor study with3 levels of factor a and 3 levels of factor b
Find and interpret the margin of error for a 95% confidence interval for the population proportion of Americans who believe in heaven.
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ½. Either show work or explain how your answer was calculated. Mean = np, Standard Deviation =
To find the interval of definition look for points where the intergral curve has a vertical tangent.
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