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The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.
(a) What is the range of f? Based on your answer, is f onto?
(b) Determine whether f a 1-1 function.
(3+x)(3-x)
how do you do algebra in 4th grade
A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.
Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p
Find out if the following series is convergent or divergent. Solution There really is not very much to these problems another than calculating the limit and then usin
i dont understand it can you help
x=-3(y-2)^2+4
Polynomials In this section we will discuss about polynomials. We will begin with polynomials in one variable. Polynomials in one variable Polynomials in one variable
y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution : As we noticed in previous illustration the function is a solution an
Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
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