Reputation
3,412
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
 Mar26 revised Prove not a violation of Stokes theorem full answer Mar26 answered Prove not a violation of Stokes theorem Mar25 comment Prove not a violation of Stokes theorem Hint: review the precise hypotheses assumed by the theorem. Does it hold in this situation? Mar23 comment Looking at the numerator first or denominator? That's not what the question is asking. Mar17 comment Point of Inflection or Turning Point? I don't think it's so clear. If the rate of change at a point is $-2$, is that a higher or lower rate of change than where it's $0$. Maybe it was meant to be interpreted as the absolute value of the rate of change. Mar17 comment Calculating $\int_0^\infty(\log t)^n e^{-t}\ dt$ Actually, sorry, but I don't. Mar17 comment Calculating $\int_0^\infty(\log t)^n e^{-t}\ dt$ Sorry, I should have been clearer. Expanding $t^{s-1}e^{-t}$ as a power series in $s-1$, you get this integral where the nth derivative goes. But in my question I asked how to calculate it, so this is besides the point. Mar17 comment Calculating $\int_0^\infty(\log t)^n e^{-t}\ dt$ Well, yes, that's where I got it from. Mar17 asked Calculating $\int_0^\infty(\log t)^n e^{-t}\ dt$ Mar16 comment Looking for help with a proof that n-th derivative of $e^\frac{-1}{x^2} = 0$ for $x=0$. Hint: show that all derivatives of $f$ are of the form $R(x)e^{-1/x^2}$ for some rational function $R$. Mar13 awarded Notable Question Mar12 comment Order of calculation in all math equations @AJMansfield: That could very well be interpreted as $6/(2/(1+2))$. The only unambiguous way is to use parentheses. Mar12 comment $\operatorname{im} A = \ker A$ for a $2 \times 2$ matrix $A$? What makes you think they have to be different? Mar12 comment Is this proof about functions correct? Try to format your question a bit better, it's really hard to read like this. Also, this has nothing to do with number theory. Mar12 revised Dividing matrices edited tags Mar12 comment Dividing matrices Short answer: You can't. Maybe there's a subset of the set of all matrices that allows division, but I'm not sure. Mar12 comment Evaluate each of the numeric expressions: $\sqrt{(-3)}$, $\sqrt{3}$, $\sqrt{-3}$ As far as I know, while the equation $x^2 = a$ has two solutions for $a > 0$, $\sqrt{a}$ is defined as the positive square root, not both. This only applies when working in $\mathbb{R}$, since in $\mathbb{C}$ you can't distinguish positive and negative. Mar10 comment How to find average rate of change I don't think it's so straightforward, though, since he was given the velocity, not the position (not to mention it should be a function of $t$ and not of $x$). Mar10 comment A proof in Spivak on integration. @sizz: Suppose you know that $|x-y| \lt \epsilon$ for all $\epsilon > 0$. If $x \ne y$, you can take $\epsilon = |x-y|$ (because $x-y$ is not $0$), and you get $|x-y| < |x-y|$, a contradiction which came from assuming $x \ne y$. Mar10 answered About vector addition