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 Apr 21 comment Prove this inequality $25ab+25a+10b\le38$ +1 for making it simple! Apr 21 comment Prove this inequality $25ab+25a+10b\le38$ Hint: Put $b=\sqrt{1-a^2}$. And substitute $b$ in given expression. Afterwards obtain an equation $f(a)$, and find maxima and minima by using derivative tests. Apr 21 comment Approximation of an expression (no calculator please!) Seriously, one needs great persistence to attempt this one with the first method, I even tried it but dropped it in the mid-way thinking that this would take took long. Anyway thanks! Apr 21 comment Approximation of an expression (no calculator please!) @RossMillikan I guess from the phrase "just equal to" they meant that we will be needing a minor approximation. Although answer approximation isn't that much minor. You can freely blame the question. Apr 21 comment Approximation of an expression (no calculator please!) @Paul Thanks! I didn't know that. Mar 29 comment Figuring domain of constant $a$ in a equation with some condition It can't happen. This question is from India's biggest Level 1 Joint Entrance Exam for Engineering colleges and this is it's 2015 sample paper. They would do anything, but never bring wrong questions/options in their paper. You can see it's $\mathrm{Q. 63}$ in this pdf document jeemain.nic.in/webinfo/PDF/06.04.2014E.pdf Mar 26 comment How to draw the graph of $x^6 = y^3$ and $3y = (log x)^2$? @rlartiga Silly me. I had rectified that. Thanks! Mar 7 comment $\lim_{x\to0}\frac{e^x-1-x}{x^2}$ using only rules of algebra of limits. Ok. Is answer $0$? Mar 7 comment geometrical meaning of partial derivatives Helpful Source: math.ucdavis.edu/~zekius/s13mat21c/handouts/Partial.pdf Feb 27 comment What are the coordinates of your position? That's given in the question? Feb 27 comment What are the coordinates of your position? Don't you think that saying downward and right will depend upon the relative orientation of co-ordinate axes Jan 23 comment Unique intersection of $b^x$ and $\log_b(x)$ @SimonS user had specified that the point $b>1$ and there is exactly one point of intersection. Thus for $b>1$ there is only and only one value where there is one point of interesection. Jan 1 comment Probability of a point lying in a space @Eupraxis1981 Yes. "The points have integral co-ordinate". And please don't consider any relativity errors. Dec 25 comment Calculate $\sin{55}-\sin{19}+\sin{53}-\sin{17}$ without calculator Thank you. This was the identity which I was missing. Silly me. Dec 25 comment Calculate $\sin{55}-\sin{19}+\sin{53}-\sin{17}$ without calculator @Jihad Yes. It's in degrees. Nov 30 comment conversion of $\cos \theta$ = 0.248 without a calculator @Integrator All right. Thanks! Nov 30 comment Let $f_n(x)=nx(1-x^2)^n$ on $[0,1]$ for $n\ge1$. Find $f(x)= \lim f_n(x)$. Is this a convergence uniform? Please add mathjax for clarification. Refer this page for edit: meta.math.stackexchange.com/questions/5020 Nov 30 comment conversion of $\cos \theta$ = 0.248 without a calculator @Integrator You are just seeing. Realizing is more important. This was my favorited question, hence I rectified it. And other way moderator himself had approved this edit. He would have judged whether it's correct or not. And by the way does it harm anyone if the question appears on the main page (any kind of server fault or other inconvenience), definitely not. This was a reasonable edit. Nov 30 comment conversion of $\cos \theta$ = 0.248 without a calculator You might be forgetting that external users also browse this site and search for the questions. It really doesn't matter how old the question is, people will still find it. Nov 30 comment Let $f_n(x)=nx(1-x^2)^n$ on $[0,1]$ for $n\ge1$. Find $f(x)= \lim f_n(x)$. Is this a convergence uniform? Question needs some serious mathjax edit. This is really ambiguous to even edit.