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Famous Question

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earned this badge 11 times.

Prove that $1^2-2^2+3^2-…+(-1)^{n-1} n^2$=$(-1)^{n-1}\frac{ n(n+1)}{2}$ whenever n is a positive integer using mathematical induction.

Awarded Nov 11, 2022 at 15:17

Find a possible equation for the linear function g(x,y) shown in the graph

Awarded Oct 24, 2021 at 19:33

Maximum number of edges in a simple graph?

Awarded Jul 26, 2021 at 4:42

How many ways are there for $2$ teams to win a best of $7$ series?

Awarded Jun 7, 2021 at 7:27

Difference between parentheses and angle brackets in vector notation

Awarded Oct 13, 2020 at 11:10

Show that the set $W$ of all polynomials in $P_2$ such that $p(1)=0$ is a subspace of $P_2$. Find a basis for $W$.

Awarded Apr 23, 2020 at 20:52

Area that lies inside both curves: $r=sin2\theta, r=cos2\theta$

Awarded Jan 27, 2020 at 16:50

Find a function $f$ and a number $a$ such that $6+\int_{a}^{x}\frac{f(t)}{t^2}\:\mathrm{d}t=2\sqrt{x}$ For all $x>0$

Awarded Oct 24, 2019 at 20:35

Prove: If A is invertible, then adj(A) is invertible and $[\operatorname{adj}(A)]^{-1}=\frac1{\det(A)}A=\operatorname{adj}(A^{-1})$

Awarded Apr 18, 2018 at 15:17

What exactly is the difference between weak and strong induction?

Awarded Jul 7, 2017 at 10:35

Calculator similar to Desmos but for $3$D

Awarded Feb 13, 2017 at 18:30

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