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A right circular cylinder has a diameter of 12 in. and a height of 12 in. If water is flowing in at the rate of 4π in3 per minute, find the rate of change of the height when the height is 4 in.
A factory has two machines that produce bolts. Machine I produces 69% of the daily output of bolts, and 8% of its bolts are defective. Machine II produces 31% of the daily output, and 5% of its bolts are defective.
where k is a constant and R is the radius of the artery. How many centimeters from the central axis of the artery is velocity of blood maximized?
80% of all California drivers wear seat belts.If three drivers are pulled over , what is the probability that all would would wearing their seat belts? write as a percent to the nerest tenth.
find any critical numbers for the function fxx610 and then use the second derivative test to decide whether the
An airplane flying into a headwind travels 216 miles in 2 hours and 42 minutes. On the return flight, the distance is traveled in 2 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample mean..
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Two sides of an isoceles triangle each measure 10 cm, and the vertex angle measures 132 degrees, Find the length of the altitude to the base. Find the length of the base.
Farmer Brown, distant mathematical cousin of Mr. Brown, wants to enclose a grazing area along a river bank and build an opera hall. He has 500m of fencing available and none can be used along the riverbank. What are the dimensions that give the la..
calculate the length of the perppendicular from a poit p on the curve defined by ax y2 byz2 to the xz plane where the
A right triangle has one leg that is twice as long as the other leg. The hypotenuse is 2 square root 5 inches. Find the length of the other leg.
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
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