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Let n be a positive integer, and consider the equation 1/x + 1/y = 1/n . How many distinct solutions does this equation have with x and y positive integers? (Hint: Compute (x-n)(y-n).)
A national caterer determined that 37% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer's food. If sample proportio..
A combination lock requires three selections of numbers, each from 1 through 39. Suppose the lock is constructed in such a way that no number can be used twice in a row but the same number may occur both first and third. For example, 20 13 20 woul..
A bit vector is simply an array of bits (0's and 1's). A bit vector of length m takes much less space than an array of m pointers. Describe how to use a bit vector to represent a Dynamic Set of Distinct Elements with no Satellite Data. Dictionary ..
Determine the braking force required to slow the train of cars by this ammount by using the following method; the laws of motion and d'alemberts principle.
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
the speed of a freight train is 22mph slower than that of a passenger train. The freight train travels 250 mi in the same time it takes the passenger train to travel 480 mi. Find the speed of the passenger train.
Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.
two-dimensional convection-diffusion equation - The problem has the following initial and boundary conditions
Angiosperms, or flowering plants, are vascular, bisexual plants. Both the male and female reproductive organs are found in a single flower.
How many ways can you pick a six-character password (order matters), that has four digits from the set ( 1,2,3,4,5,6,7,8) and two letters from ( a,b,c,d,e,f,g,h
Explain how you can find the sum when you are adding a positive and a negative decimal or fraction. Include how to know whether the sum is positive or negative.
Show that the standard matrix of T is an orthogonal matrix.
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