Mathematics
Arthur's user avatar
Arthur's user avatar
Arthur's user avatar
Arthur
  • Member for 1 year
  • Last seen more than a week ago
Profile Activity
Stats
2,556
reputation
24k
reached
2
answers
193
questions
Communities
Badges
View all badges
1
gold badge
3
silver badges
20
bronze badges
Top tags
View all tags
2
Score
78
Posts
40
Posts %
2
Score
67
Posts
34
Posts %
0
Score
35
Posts
18
Posts %
0
Score
18
Posts
9
Posts %
0
Score
15
Posts
8
Posts %
0
Score
12
Posts
6
Posts %
Top posts
View all questions and answers
All Questions Answers
Score Newest
question
4
Find a formula for the $nth$ non-square positive integer, in terms of $n.$
Apr 13
question
4
Let $F_m$ be the $mth$ Fibonacci number given by $F_1=F_2=1$ and $F_{m+2}=F_m+F_{m+1}$ for all $m\geq 1.$ Show that $\sum\binom nk=F_{m+1},$ [duplicate]
Apr 7
question
4
Solve the following differential equation : $\frac{d^3y}{dx^3}+y=3+e^{-x}+5e^{2x}.$
Apr 5
question
4
Let $[x]$ denote the greatest integer function. Find the value of $\int_0^{n^{\frac1k}}[x^k+n]dx.$
Apr 27
question
4
Evaluate $\displaystyle\lim_{n\to \infty}\left [\left (1+\frac{2}{n^a}\right )^{-n^b}n^c\right ]$ for real $a,b,c$ and $n\geq 1$.
Apr 29
question
4
Given the curve $y=\frac{5x}{x-3}$. Find its asymptotes, if any.
Jan 8
question
3
Prove that every group of order $49$ contains a subgroup of order $7$.
Nov 13, 2022
question
3
Let $G$ be a group and $H$ and $K$ be subgroups of $G$. Let $a,b\in G$. Show that either $Ha\cap Kb=\phi$ or $Ha\cap Kb =(H\cap K)c$ for some $c\in G$
Nov 10, 2022
question
3
Solve the following differential equation: $\frac{d^2y}{dx^2}+a^2y=\cos ax.$
Apr 8
question
3
Which real numbers satisfy $\frac{x^2-2x+3}{\sqrt{x^2-2x+2}}\geq 2 $?
Apr 22

Your privacy

By clicking “Accept all cookies”, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy.