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A rectangular swimming pool 16m by 12m is being filled at the rate of 0.9m3/min. How fast is the height of the water rising?
Write a system of inequalities for the shaded region described. The shaded region is a rectangle with vertices at (2,1),(2,4),(6,4),and (6,1).
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 250 boxes. But when you raise your price to $5 you only sell 120 boxes.
Two trains leave stations miles apart at the same time and travel toward each other. One train travels at miles per hour while the other travels at miles per hour. How long will it take for the two trains to meet?
Find the Upper and Lower Darboux Sums given F(x) = 5 - 3x on [0,2] and partition P = {tsub0 = 0, tsub1 = 2/n, tsub2 = 4/n, and tsub3 = 2}
Prove that if a series of complex numbers sum (c_n) converges to s, then sum (c_n) is Cesaro summable to s.
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
Of 346 items tested, 12 are found to be defective. Construct the 98% confidence interval for the proportion of all such items that are defective.
A stereo sells for $189.79. If the stereo is 15% off and the sales tax is 8%, what is the total price?
Find the coordinates of the centroid of the region bounded by the given curve.
ill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $6000 plus 9% sales tax. How much are the monthly payments Jill must make to her fathe..
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places..
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