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Joshua Wang's user avatar
Joshua Wang's user avatar
Joshua Wang's user avatar
Joshua Wang
  • Member for 4 years, 1 month
  • Last seen this week
68 votes
Accepted

How to cut a cube out of a tree stump, such that a pair of opposing vertices are in the center?

13 votes
Accepted

Pascal's triangle curiosity

13 votes
Accepted

Can it be proven that iff $N$ is prime, then there are exactly 6 integer solutions to $xy = N(x+y)$?

10 votes

Teacher claims this proof for $\frac{\csc\theta-1}{\cot\theta}=\frac{\cot\theta}{\csc\theta+1}$ is wrong. Why?

8 votes
Accepted

Does $a_n:=\left(1+\frac1{n+c}\right)^n$ converge to $e$, for $c\in\Bbb{N}$?

7 votes

Find the total length of two line segments of two overlapping right triangles

7 votes

Determining the distance to the origin from three points on a circle

6 votes

Covering a circle using rectangles

6 votes
Accepted

Geometric Pattern in Triangle Construction with Squares

5 votes
Accepted

Olympiad Number theory question about primes

5 votes
Accepted

Simplify $\sum_{k=0}^n (k*(k-1)*{n \choose n-k})$

5 votes

How to rotate curve around a point

5 votes
Accepted

Find integral from a known integral

5 votes
Accepted

How would I evaluate this series using telescopic summation?

5 votes
Accepted

Polynomial Division - Remainder when divisor is squared??

4 votes
Accepted

Find $f$ such that $f'(x) = x^3$ and the line $x + y = 0$ is tangent to $f$

4 votes

floor function equality ⌊x⌋^2=16

4 votes
Accepted

Finding all integer solutions of $\frac{1}{x} + \frac{1}{y} - \frac{1}{z} = \frac12$

4 votes

Show that an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2}$ = 1 is a smooth curve

4 votes
Accepted

Value that makes the piecewise function continuous

4 votes
Accepted

An ellipse determined by circumcenters

4 votes
Accepted

$58^{5745} \pmod{59}$

4 votes
Accepted

LCM of 3 numbers is given then what can't GCD be

4 votes
Accepted

Solution for approximating square roots?

4 votes

$ \lim_{n\to\infty} {2n\choose n}^{(1/n)}$

4 votes
Accepted

Ten parabolas are drawn in a plane.No three parabola are concurrent. Find the total number of disjoint regions of the plane.

4 votes
Accepted

Fun Equilateral Triangle Problem

4 votes

Sensitivity of Newton's method initial vlaue

3 votes
Accepted

Given that $\frac{a}{1-x}+\frac{b}{1+2x}\approx-3+12x$ for small values of $x$, find the value of $a$ and $b$

3 votes

$f(x)>0, f''(x)>0$. Prove: $\int_a^b f(x) dx > (b-a) f(\frac{a+b}{2})$

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