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[M] Let M and x0 be as in Example 3.
a. Compute the population vectors xk for k = 1,,,,,,,,20. Discuss what you find.
b. Repeat part (a) with an initial population of 350,000 in the city and 650,000 in the suburbs. What do you find?
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students x=px,0=4/27,1=1/27, 2=5/9, 3=?, 4=5/2
Prove that the intersection of any collection of closed sets in X is a closed set and prove that the union of finitely many closed sets in X is a closed set.
A train starting at noon, travels east at 50 mph while another train leaves an hour later from the same point traveling north at 90 mph. How fast are the trains moving at 3 pm?
A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right.
Lumber costs have increased by 7.5% since last year. If a new home last year cost $237,400, what would be the new cost?
A structure combining information from songs and plays can be defined using the following definition: (a) A valid element of SongsAndPlaysList will: ensure that there are no duplicate identifiers and ensure that any 'last played' time is later than
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
What is the size of the population after hours?
A lidless box is made using 432 square inches of cardboard. Find the dimensions of the box with the largest possbile volume.
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
A trough is 15 ft long and 4 ft across the top . Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft3/min. How fast is the water level rising when it is 2.11 ft deep? Give your answer correct to 3 de..
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