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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 man is known to speak truth 3 out of 4 times.He throws adie and reports it is a six. Find the probability that it is actually a six. Solution) we can get a six if a man s
A polynomial satisfies the following relation f(x).f(1/x)= f(x)+f(1/x). f(2) = 33. fIND f(3) Ans) The required polynomial is x^5 +1. This polynomial satisfies the condition state
all properties, formulas of infinite series
Interpretation A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that there is a causal relationship that is
Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and Answer: antisymmetric
How to Solving One-Step Equations? Equations, where one math operation is acting on the variable, can be solved in one step. The trick is to get the variable x by itself - isol
If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and how do you work it out.
how do you graph y+3=-x+3x on a TI-83 graphing calculator?
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
P OLYNOMIALS : It is not once nor twice but times without number that the same ideas make their appearance in the world. 1. Find the value for K for which
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