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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.
a muffin recipe calls for three forth of a cup of sugar and one eight of a cup of butter. travis accidentally put in one whole cup of butter. how much sugar does travis need to put
The Central Limit Theorem The theories was introduced by De Moivre and according to it; if we choose a large number of simple random samples, says from any population and find
find the area of the irregular shape 2cm 4cm 4cm 2cm 5cm 5cm
Quadric Surfaces Earlier we have looked at lines and planes in three dimensions (or R 3 ) and when these are used fairly heavily at times in a Calculus class there are several
Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin
Properties of Logarithms 1. log a xy = log a x + log a y 2. = log a x - log a y 3. log a x n = n log
Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c
can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l
For every girl taking classes at the martial arts school there are 3 boys who are taking classes at the school. If there are 236 students taking classes write and solve a proportio
Class limits These are numerical values, which limits uq extended of a given class that is all the observations in a provided class are expected to fall in the interval which
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