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The region in the first quadrant bounded by the graphs of y = x and is rotated around the line y = x. Find(a) the centroid of the region and (b) the volume of the solid of revolution. y= x^2/2 Find the length of the graph ofy=1/3(x^3/2-x^1/2from(1,-2/3)to(4,2/3)
The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in..
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
What is the average cost per unit to produe 100 units?
Assume that the drawer contains 11 coins: 4 quarters, 2 dimes, and 5 nickels. One coin is randomly selected. What is the expected value of the coin selected (in cents)?
A sample of 12 measurements has a mean of 23 and a standard deviation of 2.75. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 23 each. Find the standard deviation of the sa..
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
A jogging path has to be made around a rectangular park which is 113 feet long and 96 feet wide. If the width of the jogging path is 2 feet, find the area of the path.
Find the critical value for this hypothesis test.
Use Excel to perform polynomial interpolation on the given data and try to figure out the degree of the polynomial mathematically - perform polynomial interpolation on the following data.
determine the depreciation for each of the first two years (a) by the straight-line method and (b) by the double-declining-balance method.
A regular hexagon is inscribed in a circle with a radius of 10 meters. What is the length of each side of the hexagon?
find the amount by which the utility company will have to increase its generating capacity in order to meet the needs of the area at the end of the decade. (Round your answer to two decimal places.)
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