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find the volume of one of the smaller wedges cut from a sphere of radius 27 by two planes that intersect along a diameter at an angle of pi/6.
A matrix A is said to be skew-symmetric if A^T = -A. Show that any square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
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.
Considering window size w=2, design a Markov chain and evaluate how much improvement can be achieved. What is the tradeoff of the scheme in order to gain a better throughput?
If, in a special right triangle the sides are denoted by "a, b, c" and the angles are denoted by "A, B, C" If I knew only C was 90 degrees, that a was 6 units long and b was 13 units long. How would I be able to find the degrees of Angle A and B?
Mr Tan wanted to sell his lamp. If he sell it at a discount of 10%, he will make a profit of $215. If he sell it at a discount of 20%, he will loss $170. How much was his original selling price.
Suppose one manufacturer sells both of these products. How should the manufacturer set prices to earn the maximum possible revenue? What is the maximum possible revenue?
the width of a rectangle is 19 centimeters. Find all possible values for the length of the rectangle is the permitter is at least 404 centimeters.
margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
A jeweler has three small solid spheres made of silver, of radius 2 mm, 6 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Compute the Initial Value Problem, Let G be a bipartite graph partitioned into vertex sets V and W. Assume all vertices have the same degree. Show G has a perfect matching.
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