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Colombia has a population density of about 43 people/km2 and a population of about 48,929,706. What is the approximate area of Colombia? Round to the nearest whole number
the means of two samples of size 50 and 100 respectively are 54middot4 amp 50middot3 and the standard deviations are 8
The length of a rectangle is increasing at a rate of 2 ft. per second, while the width is increasing at a rate of 1 ft. per second. When the length is 4 ft. and the width is 5 ft., how fast, in square feet per second, is the area increasing?
if alpha an r-cycle show that r is the least positive k such that alpha^k=(1)
The tank has height 7 m and the diameter at the top is 6 m. If the water level is rising at a rate of 18 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank.
What are the dimensions of the box that would maximize the volume.
Let E be a metric space, S a subset of E, and let f:E-R be the function which takes the value 1 at each point of S and 0 at each point of the complement of S. Prove that the set of points of E at which f is not continuous is precisely the boundary..
What proportion of children 10-15 years would be classified as hyperlipidemia(assume that hyperlipidemia is defined as a total cholesterol level over 200)?
a rancher is fencing off a rectangular area with a fixed perimeter of 76. What dimensions would yield the maximum area?
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
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)
the formula b29a is used in new england to estimate the minimum furnance output b in btus for a modern house with the
Effectiveness of a disease management program
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