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1. A 40 m chain weighing 3 kg/m hangs over the side of a bridge. How much work is done by a winch that winds the entire chain in?
2. A container in the shape of an inverted pyramid with a square base of 2 m by 2 m and height of 5 m is filled to a depth of 4 m with corn slurry. How much work is required to pump all the slurry over the top of the container?
A baseball diamond is a square with side 90ft. A batter hits the ball and runs towards first base with a speed of 29 ft/s.
a computer monitor makes a 60 degree angle with the desk it rest on .what is the measure of its complementery angle?
Trains A and Bare traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 64 miles per hour.
Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
Provide probability distribution, histogram, and find the expected value of a coin that is tossed 3 times
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
Discuss the advantages of using the formulas, any difficulties in using them, and whether computers are used with them.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
Find the following values for the given function . (f-g)(3)= (fg)(3)=
1 A bookstore has a draw for a $25 book certificate. Each customer draws a ticket from a bowl of 100 tickets. Only one of the tickets is a winning ticket and once the certificate is won, the draw is over. If the tickets are drawn with repl..
A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 448 meters, find the length of the parking lot.
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