Mathematics
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Ivan Kaznacheyeu
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All Questions Answers
Score Newest
answer
19
Examples where $(a+b+\cdots)^2 = (a^2+b^2+\cdots)$
Mar 24
question
11
Can $\sum_{n=1}^{k} \frac1{\sqrt{n}}$ be an integer for $k>1$?
May 11
answer
6
How can we show $\frac{1-x^n}{1-c^n} + \left(1-\frac{1-x}{1-c}\right)^n \leq 1 $ for all $n \in \mathbb{N}$, $0 \leq c \leq x \leq 1$, $c \neq 1$?
Oct 26, 2021
answer
4
Formula for some average
Nov 26, 2021
answer
4
Is $\min\limits_y \int_0^1 \frac{g(x,y)}{1-x} dx = \int_0^1 \frac{\min_y g(x,y)}{1-x} dx$?
Mar 15
answer
4
Prove that $\frac{1}{x}$ is the only function that satisfies the following condition
Apr 22
answer
4
Show that $\sin47^\circ+\sin61^\circ-\sin11^\circ-\sin25^\circ=\cos7^\circ$
May 10
answer
4
Solve $\sin{(70^{\circ}-x)}=\frac{1}2 + \frac{1}{4\cos{(20^{\circ})}}$
Jul 27
answer
3
Evaluate $\iint(x^{2} + y^{2})dx\,dy$ over the area in the first quadrant bounded by the circle $x^2 + y^2 = a^2$.
Jul 11
answer
3
Length relation between middle point, incircle touching point, angle bisector foot and altitude foot. $DE^2=DF\cdot DP$
Aug 3

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