In light of that problem, I would like to offer my version. It could have puzzled both the American and Russian students:- ABCD is a parallelogram with th...

I was looking at how to do mathematical induction. One source said to use $n = 1$ for the basis step. But I have seen other sources choose the value $n = ...

Where did the linear approximation/linearization formula come from? I understand that it takes root in the point-slope form and slope intercept form of a ...

Possible Duplicate: How do I get the square root of a complex number? I'm currently playing with complex numbers and I realized that I don't und...

How would you go about determining the derivative of ( $f(x) = \frac{8}{\sqrt{x -2}}$ ) using the limit definition of the derivative (i.e. $\lim\limits_{h...

I have an ordered set of symbols S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }. I want to find the 1,000,000-th permutation in lexicographic order of S. It is a pro...

Statement: Let $A$ and $B$ be subsets of $R$. Show that $(A \cup B)'=A'\cap B'$. My attempt: To show that two sets are equal to one another...

I would like to know if the following proof implies that if A and B are independent, that does not mean that they are mutually exclusive: If $A$ and $B$ a...

A question in my book asks me to factor $x^8+3x^3-1$ and in the answers, it gives me the correct factorization but gives no explanation on how this was do...

I am confuse that how carry works while multiplying two binary numbers 1111 x 1111 = 011100001 but how to handle carries in calculation? Can anyone please...