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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.
approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0
The mean height of eight children is 136cm. if the height of seven children are 143,125,133,140,120,135 and 152,find the height of eighth student.
8sinx-cosx=4
I am less than 100 the sum of my digits is 4 half of me is an odd number
there is 22 owls . my mom gave me 6 more . how many owls do they have
what shapes can go into a triangular prism
how to add
Factorize x squared + 6x + 8
We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F
2/3 - 7/12
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