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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.
Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
We now require addressing nonhomogeneous systems in brief. Both of the methods which we looked at back in the second order differential equations section can also be used now. Sin
calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north
add 1 and 20 over 40 with 2 and 30 over 50
R={(r, ?):1=r= 2cos? ,-p/3= ? =p/3
Word Problems Involving Money: The promoter of a track meet engages a 6,000 seat armory. He needs to gross $15,000. The price of children's tickets is to be one-half the pric
-5+-6=
a washing machine costs $640 plus an installation charge of 7.5% what is the totalcost?
Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw
I figured out the volume and the width, but I have no idea how to use that information to get the height and the length!
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