Mathematics

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earned this badge 30 times.
If $x^{19}+x^{17}+x^{13}+x^{11}+x^{7}+x^{5}+x^{3}$ is divided by $(x^2 +1)$, then find the remainder
Awarded Apr 6 at 3:47
find the minimum value of $\sqrt{x^2+4} + \sqrt{y^2+9}$
Awarded Oct 8, 2023 at 1:50
Proving inequality with constraint $abc=1$
Awarded Apr 10, 2023 at 9:27
System of non-linear equations.
Awarded Jan 3, 2023 at 4:19
How to solve $\lim_{n\to\infty}\left(\dfrac{n^2+5n+3}{n^2+n+2}\right)^n$
Awarded Dec 14, 2022 at 13:58
Find the integer closest to $\ln(2013)$
Awarded Aug 5, 2021 at 14:26
Does $x,y,z>0$ and $x+y+z=1$ imply $\left(1+\frac 1x\right)\left(1+\frac 1y \right)\left(1+\frac 1z \right)\ge 64$?
Awarded Nov 22, 2020 at 5:10
proof - Show that $1! +2! +3!+\cdots+n!$ is a perfect power if and only if $n=3$
Awarded Oct 5, 2020 at 4:33
$\forall x,y>0, x^x+y^y \geq x^y + y^x$
Awarded Jun 30, 2020 at 18:49
Given that $x,y,z$ are positive reals such that $xyz=32$.What is the minimum value of $x^2+4xy+4y^2+2z^2$.
Awarded May 5, 2020 at 22:07
Hard inequality for positive numbers
Awarded Feb 29, 2020 at 20:45
Find the value of $\sqrt{10\sqrt{10\sqrt{10...}}}$
Awarded Feb 10, 2020 at 1:25
Inequality of integrals $\int_0^1(f(x))^2 dx \geq 4$ if $\int_0^1xf(x) dx=\int_0^1f(x) dx = 1$
Awarded Jan 9, 2019 at 10:40
Inequality with sum of Binomial coefficients: $\sum\limits^n_{k=1}k \sqrt{\binom nk}\leq\sqrt{2^{n-1}n^3}$
Awarded Oct 22, 2018 at 21:45
Proving that: $ | a + b | + |a-b| \ge|a| + |b|$
Awarded Oct 17, 2017 at 18:25
Number of real solutions of the equation $1+8^x+27^x = 2^x+12^x+9^x$
Awarded Aug 7, 2017 at 17:55
Show that $x^4-10x^2+1$ is reducible over $\mathbb{Q}(\sqrt{6}), \mathbb{Q}(\sqrt{2}),$ and $\mathbb{Q}(\sqrt{3})$. Is there an easier method?
Awarded Feb 3, 2017 at 0:27
How do you find the turning points of a polynomial without using calculus?
Awarded Apr 21, 2016 at 1:50
Minimum value of $a+b$
Awarded Jul 26, 2015 at 6:14
$(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3=24xyz$?
Awarded Jun 30, 2015 at 12:53
Sum of series with binary parity in the numerator
Awarded Mar 11, 2015 at 18:09
Summation inductional proof: $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots+\frac{1}{n^2}<2$
Awarded Feb 16, 2015 at 15:04
How can I prove that $xy\leq x^2+y^2$?
Awarded Dec 4, 2014 at 8:10
Domain of the Function Square Root of 12th Degree Polynomial
Awarded May 22, 2014 at 17:23
A fair coin is flipped 2k times. What is the probability that it comes up tails more often than it comes up heads?
Awarded May 21, 2014 at 8:15
Does there exist an even polynomial that has a term with an odd power?
Awarded Apr 25, 2014 at 1:54
Prove that, $\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}\ge 4$ where we do not use AM-GM inequality on the given statement to prove it.
Awarded Mar 4, 2014 at 11:50
Simplest or nicest proof that $1+x \le e^x$
Awarded Sep 25, 2013 at 13:06
How can one prove that $e<\pi$?
Awarded Sep 10, 2013 at 22:24
Do factorials really grow faster than exponential functions?
Awarded Apr 5, 2013 at 11:33

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