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An upright cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing? (Round the answer to four decimal places.)
the suppliers price for a set of tile is $7. let x represent the number of tile sets. if b represents the fixed cost, what value would represent b?
A baseball diamond has the shape of a square with sides of 90ft long. A player 30ft from third base is sunning at a speed 28 feet/sec. At what rate is the player's distance from home plate changing.
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
In furnishing their new office space, a company allows each employee to select a desk, a chair and a bookcase or file cabinet based on personal preference. There are two desk models, 3 different chairs, 2 styles of file cabinet and 4 bookcase styl..
Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
The formula d = sqrt 15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Water flows in a 400mm diameter drain to a depth of 150mm. Calculate the wetted perimeter of the drain and the cross sectional area of the water
Find the solution to the given system for the given initial condition
You're buying a new car that sells for $12006. The state sales tax rate, as a decimal, is .07. How much will the sales tax come to?
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
(a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male?
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