Mollusks which attack underwater structures
Zebra mussels are fresh water mollusks which attack underwater structures. Suppose that the volume of mussels in a confined area grows at a rate of 0.2% per day.
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Determine an example of adding something and then taking it away in order to solve an integral?
Tom, a new college graduate, has just been offered job paying $24,000 in the first year. Each year thereafter, the salary will raise 1000 plus a 5% cost of living adjustment. Write a recurrence relation and initial conditions for sn, the amount o
Assume that you've a large supply of 2-, 3-, and 5-cent stamps. Write down a recurrence relation and initial conditions for the number sn of different ways in which n cents worth of postage can be attached to an envelope if the order in which the
Assume that you've an unlimited supply of red, white, blue, green, and gold poker chips, which are indistinguishable except for color. Write a recurrence relation and initial conditions for the number sn of ways to stack n chips with no two con
An economy depends on two basic products, wheat and oil. To produce 1 ton of wheat requires .25 tons of wheat and .33 tons of oil. Production of 1 ton of oil consumes .08 tons of wheat and .11 tons of oil. Determine the production that will satisf
Discuss why the identity (3A-B)(A+2B)=3A^2+5AB-2B^2 doesn't hold for aritrary nxn matrices A,B, and give the correct version of the identity.
Use rules of inference to discuss that the hypothesese "If it doesn't rain or if it is not foggy, then the sailing race will be held and livesaving dempnstration will go on," "If the sailing race is held, then trophy will be awarded," and "The tro
Provide a modern proof of the result that there are infinitely many prime numbers. Compare the proof to euclids and comment on the differences.
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