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a container of the form obtained by revolving the parabola y = 0.75 x^2, 0 <=x<=4, about the y axis is full of water .here x and y are given in meters. find the work done in pumping the water.
A. to an outlet at the top of the tank
B. to an outlet 1 meter above the top of the tank. take weight density = 9000. answers are 384*pi*9800 and 480 * pi * 9800. please explain.
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
the company is considering increasing its advertising by $50,000 in order to sell more car parts. How many additional parts must the company sell in order to justify the increased advertising costs?
The rabbit population in a forest arear grows at the rate of 7% monthly. if there are 190 rabbits in July, find how many rabbits shouls be expected by the next July. Use y=190(2.7)^0.07t.
Important information about Statistics probability, Packages from packing machine have a mass, which is normally distributed with mean 200g and standard deviation 2g
The 4 runners on a relay team all want to run the same distance in a race. The coach says that the first runner will go 1/4 of the distance. Then the second runner will go 1/3 of the remaining distance
Among completed surveys how many different responses to this survey were possible?
b(10) - b(0) = $20,633.48 this is the change in balance over the next 10 years
A woman has a 28-in. waist and 34-in. hips. Write the waist-to-hip ratio as a decimal, rounded to the nearest hundredth.
Calculate the yearly job-related expenses for this position at j & r financial Group. Be sure to include payroll deductions.
Let A, B, C be sets and let X be a set containing A, B, C as subsets. Prove that A intersects (B union C)= (A intersects B) union (A intersects C)
A New York Times editorial criticized a chart caption that described a dental rinse as one that "reduces plaque on teeth by over 300%." What is wrong with that statement?
the perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court.
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