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Find the volume generated by rotating the given region about the specified line.
R1 about x = 0.
A manufacturer drills a hole through the center of a metal sphere of radius R = 4. The hole has a radius r. What value of r will produce a ring whose volume is exactly half the volume of the sphere?
Sam has a total of 58 DVD's and CD's. If the number of CD's is two more than three times the number of DVD's, how many CD's does he have?
A plane flying horizontally at an altitude of 7 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10 mi away from the station. (Round to the ..
five school children are weighed in pairs. the readings (in kilograms) are: 58,60,61,64,65,67,68,70 and 71. find the weight of the individual children.
The height of a door is 15 inches more than three times its width. What are the dimensions of the door if the perimeter is 246 inches?
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors
suppose a company had the following stock outstanding and retained earnings on december 31 2011.common stock par 7
Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
sequences are among the oldest objects of mathematical investigation having been studied for over 3500 years.
a study conducted by zagat survey concluded that many first-rate restaurants are located in hotels across the united
Here are the costs of 10 electric glass-top ranges rated very good or excellent by Consumer Reports in August 2013. Find the median. Find the first and third quartiles. Find the IQR
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
change all trig functions to sines and cosines and simplify. write the answer using s for sinx and c for cosx.cos
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