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Question: Sand falls from a hopper at a rate of 0.1 cubic meters per hour and forms a conical pile beneath. If the side of the cone makes an angle of π/6 radians with the vertical, find the rate at which the height of the cone increases. At what rate does the radius of the base increase? Give both answers in terms of h, the height of the pile in meters.
Assembly time of a worker in the following graph, n(t) gives the number of personal radios assembled by the average worker by the tth hr.
Construct a time series plot. What type of pattern exists in the data? Develop an estimated regression equation that can be used to account for any seasonaland linear trend effects in the data
A man ordered 3 times a many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box. Felt-tip cost $3.44 per box. Total cost is $82.75. How many boxes of each type of pen did he buy?
Explain the theme of the book (summary/overview) in your own words, and why this is important to our understanding of the information technology.
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.
Marguerite inherited $55,000 and invested part of it in her retirement account and donated the rest to a local soup kitchen. The amount of the investment was $3000 less than four times the amount of the donation. How much did Marguerite invest in ..
If the mean for the exam was 58% and the standard deviation was 7%, what was Nicole's percentage mark?
Estimate the galois group.
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
The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
(a) What is the half-life of the element? (b) How long will it take for a sample of '100' mg to decay to '87' mg? In what year did/will the exports reach $9.7 billion?
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
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