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"You have enemies? Good. That means you've stood up for something, sometime in your life" - Winston Churchill


May
8
comment solving ODE using variation of parameters
First find the solution to the corresponding homogeneous equation $y\prime\prime+y\prime-2y=0$ by using characteristic equation $r^2+r-2=0$
May
8
revised Simplifying Logarithmic Expression
deleted 94 characters in body
May
8
comment Popular science book on rigorous axiomatic approach
Try snipurl.com/23f8po6 (Another interesting book to have)
May
8
answered Simplifying Logarithmic Expression
May
8
answered Factoring a number to get an encoded string
May
8
comment How to find $\int{\left(\frac{\sqrt{x+1}}{x-1}\right)^x}dx$?
For $\int x^x dx$ check math.stackexchange.com/questions/141347/how-to-solve-int-xxdx (But this one here looks complicated)
May
7
answered Integrate $\int{2^{2x}} dx$
May
7
comment convergence to infinity of$ (2^n + 3^n)^{\frac{1}{n}}$ (as $n \to \infty$)
@Ignace, Didier pretty much gave you a "big hint" and you don't need anything more to solve this.
May
7
comment convergence to infinity of$ (2^n + 3^n)^{\frac{1}{n}}$ (as $n \to \infty$)
@Ignace I tried to edit as much as I could. (There was no latex at all in your post).
May
7
revised convergence to infinity of$ (2^n + 3^n)^{\frac{1}{n}}$ (as $n \to \infty$)
added 50 characters in body; edited title
May
7
comment Solving $ xy = a + b\cdot\operatorname{lcm}(x,y) + c\cdot\gcd(x,y)$ given $a,b,c$
Nice! I like it.
May
7
comment How many zeroes are in 100!
According to WolframAlpha it would be $29$ zeros in $100!$ (trailing $24$ and $5$ zeroes inside), but if you are looking for a method, as Robert Israel said, there is no known method.
May
6
comment How to find the removeable or infinite discontinuity of any rational function without the factoring of the polynomial?
@Victor you accepted Bill's answer, but yet havn't upvoted.
May
6
comment Find $s$ and $t$ with substitution?
Follow Andre's answer you get $s=9, t=\frac{25}{4}$
May
6
comment Solving an integral
@Jon You have only partially corrected your mistakes. It should be $\sqrt{24}y-1$ and not $\sqrt{24}(y-1)$
May
6
comment $n^2 + 3n +5$ is not divisible by $121$
You got a great answer by Bill, when a number is divisible by $121$ what is it congruent to mod $11^2$?
May
6
comment The maximum number of nodes in a binary tree of depth $k$ is $2^{k}-1$, $k \geq1$.
@rajansthapit what is the name of tile/author of the book? Gadi has the correct answer.
May
6
answered Derivative of $e^{-x}$
May
6
comment The Importance Of Good Teachers and Guidance In the Academics
Today at least there are tons of resources as an alternative, assuming you are self-motivated. If a teacher is not good, it really brings down the confidence of a student (Personally from what I noticed in my Son's case).
May
6
comment If $x$ and $y$ are rational numbers and $x^5+y^5=2x^2y^2,$ then $1-xy$ is a perfect square.
My +1 and Thanks.