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


May
18
comment Generalizing an approach to proving AMGM
Instead of going so far (generalizing), why don't you try for $n=4$ and share your answer
May
18
comment Mid-step in solving a pde
$\int 2y dy = y^2$ , you should correct that
May
17
comment Rearranging a formula
Wow! I got two downvotes on this one. (Unpleasant wow!)
May
17
revised one more clock related challenge!
added 6 characters in body
May
16
comment Rearranging a formula
I like this algebraic approach!
May
16
comment Rearranging a formula
@AmericoTavers Thanks. You have given a complete algebraic solution. My +1 for that answer.
May
16
comment Rearranging a formula
I think if it is not specified what $a$ and $b$ are people are entitled to give different approach to solving a problem. (There is not only one way to look at a problem)
May
16
revised Rearranging a formula
edited body
May
16
answered Rearranging a formula
May
14
answered Evaluating $\int y^4(1-y)^3 dy$ using integration by parts
May
14
comment How to find out what changes applied to integral?
Substituting $x=-8u+2u^2$ could get somewhat close to what you are expecting, but not exactly the expression you have.
May
14
comment Vertices required to construct a graph with at least $500$ edges
It should be $n \geq 33$ not $32$
May
14
comment Vertices required to construct a graph with at least $500$ edges
And $n\choose2$ $\geq$ $500$ will give you $n \geq 32$
May
14
comment Vertices required to construct a graph with at least $500$ edges
If there are $n$ vertices, pick a vertex and see how many vertices can be connected to that ? $n-1$? Each of the $n$ vertices are connected to $n-1$ in $n(n-1)$ ways, but you are counting each connection twice, therefore total connections should be $\frac{n(n-1)}{2}$ which is $n\choose2$
May
14
comment Why does $\binom{10}{7} = \frac{10!}{(10-7)!7!}$
@50ndr33 Watch these videos at artofproblemsolving.com/Videos/index.php?type=counting
May
14
revised Integral of $x^2\ln(x)$ using Simpson's rule
edited tags
May
14
revised Calculate the volume between two spheres
edited tags
May
14
comment solving Differential Equation
@Sean87 I like the writing on the cup (Feel the same way about changing the world)
May
14
comment solving Differential Equation
Yes, of course (Thanks)
May
14
comment solving Differential Equation
@Prasad, also mention that $\log()$ here is to the base $e$ otherwise one can use $\ln()$