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A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)
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.
Using what you know about t-scores, identify which of the variables have a significant influence on the LISTPRICE.
For the following curve, find the vector equation of the tangent line at t0, and state the slope of the tangent line at t0. [Note that the slope of a vector v=(v1,v2) is v2/v1].
A plane flying horizontally at an altitude of 3 mi and a speed of 485 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 5 mi away from the station. Please round yo..
Find the maximum value of the quadratic function. Make sure to show your work.
To determine whether the system described is a group. G = set of all integers, a.b = a - b
Find the 99 percent confidence interval on the proportion of all such gloves that are shorter than nine inches.
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
A woman 1.6 m tall stands 2.2 m in front of a plane mirror. What would be the required minimum height of the mirror if she were to stand 4.6 m away?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.
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