Kirthi Raman
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 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 $\ln()$ May 14 comment solving Differential Equation It should be $7 e^{arctan(t)}$ because $x(0)=3$ not $4$. You still have +1 May 14 answered solving Differential Equation May 14 comment What is the geometrical representation of $1/R$? @Patrick, I envy you (blackboard at home?) My +1 May 14 comment Mathmatical representation of recursion function Your $foo(n)$ is a flat function with value $1$, unless you are going to change your question to something else later. May 14 comment Mathmatical representation of recursion function How is your answer helping this question? May 14 comment Mathmatical representation of recursion function $f(1) =f(0)+f(-2)-1 = 1+1-1 = 1, f(2)=f(1)+f(-1)-1=1. f(3)=f(2)+f(0)-1=1$ May 13 comment elementary inequality proof Use $\frac{5a+b}{2} \geq \sqrt{5ab}$ and also the fact that $\sqrt{5} > 2$ to get the desired result.