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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.
Provide the vector for each of the following. (a) The vector from (2, -7, 0) - (1, - 3, - 5 ) (b) The vector from (1,-3,-5) - (2, - 7, 0) (c) The position vector for ( -
Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.
4. Two hosts, one on East (host A) and one on the west coast (host B) of the USA are exchanging data. Suppose A is sending a large file to B. The file is split into packets of size
Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.
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The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?
What are the properties of Normal distribution? The normal curve is symmetrical when p=q or p≈q The normal curve is a single peaked curve The normal curve is asymptotic t
show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2
Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 Prove that N ha
Find x and y in each paarallelogram.
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