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A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
(a) what percent of the pool is filled?
(b) At what rate is the water level rising?
Problems on linear regression equation
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
In each of the following parts, you should simplify your answers where it is appropriate to do so. Write down the derivative of each of the functions
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?
Describe your question and receive a step-by-step response, usually within an hour or two.Find the volume of the solid bounded by x^2/(16 ) + y^2/9 = 1 revolving about the x-axis:
Find the area of the region bounded by the graphs of the given equations.
What is the p-value associated with the test of hypothesis you conducted?
The answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G.
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
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