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1. Show that there do not exist integers x and y for which 110x + 315y = 12.
2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:
Any odd number can be written 2k + 1 for some integer k.
3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.
explane
Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
how to estimate using compatible numbers
Beals Conjecture
How to get the answer
Explain with the help of number line (-6)+(+5)
5a^2b^2-5ab(6)
solve for y 3x+4y=7
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
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