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Top Questions
39
votes
Area of parallelogram = Area of square. Shear transform
geometry
area
quadrilateral
asked Jul 24, 2019 at 17:51
math.stackexchange.com
21
votes
Why doesn't the road lose its thickness to the tyre?
friction
everyday-life
material-science
asked Dec 8, 2019 at 11:36
physics.stackexchange.com
15
votes
How does this inverting opamp circuit with adjustible bandwidth work?
op-amp
asked May 26, 2018 at 6:26
electronics.stackexchange.com
12
votes
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
calculus
integration
definite-integrals
asked Oct 5, 2014 at 7:13
math.stackexchange.com
11
votes
Evaluate $\frac{ 1 }{ 1010 \times 2016} + \frac{ 1 }{ 1012 \times 2014} + \frac{ 1 }{ 1014 \times 2012} + \cdots + \frac{ 1 }{ 2016 \times 1010} = ?$
sequences-and-series
summation
asked Oct 3, 2014 at 23:58
math.stackexchange.com
11
votes
Explaining why cross multiplication works using a pie
arithmetic
intuition
asked Feb 26, 2018 at 5:43
math.stackexchange.com
11
votes
What's wrong in this method of solving a difference equation?
recurrence-relations
asked Jun 21, 2018 at 8:31
math.stackexchange.com
11
votes
Proof of this integration shortcut: $\int_a^b \frac{dx}{\sqrt{(x-a)(b-x)}}=\pi$
calculus
integration
definite-integrals
asked Jul 16, 2018 at 17:57
math.stackexchange.com
10
votes
Evaluate $\int_{0}^{\infty}\frac{1-e^{-t}}{t}e^{-st}\;dt$
calculus
differential-equations
definite-integrals
laplace-transform
asked Nov 16, 2014 at 15:49
math.stackexchange.com
10
votes
Why does classical physics imply every mode of vibration should have the same thermal energy?
thermal-radiation
photoelectric-effect
asked Aug 31, 2018 at 6:09
physics.stackexchange.com
1
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Top Answers
59
Completing the square to solve limit problems
math.stackexchange.com
26
Proof that $2^{222}-1$ is divisible by 3
math.stackexchange.com
22
Why does the maximum/minimum of linear programming occurs at a vertex?
math.stackexchange.com
12
When does $(p-1)! + 1 = p^k $ hold?
math.stackexchange.com
11
How to find natural solutions of an equation?
math.stackexchange.com
9
How to prove that $4^m + 5^m$ is divisible by 9 when m is an odd number
math.stackexchange.com
8
$(2x+y)\frac{dy}{dx} + x = 0$
math.stackexchange.com
8
Find the sum of series $(1^2+1)1!+(2^2+1)2!+(3^2+1)3!+...+(n^2+1)n!$.
math.stackexchange.com
8
$\left (14^{2014} \right )^{2014} \mod 60$ without a calculator
math.stackexchange.com
7
Convergence of $\sum_n \frac{n!}{n^n}$
math.stackexchange.com
7
Limit of $\sqrt{25x^{2}+5x}-5x$ as $x\to\infty$
math.stackexchange.com
7
Is there another simple way to solve this integral?
math.stackexchange.com
7
Find $n\bmod 8$ when $n\bmod 56=29$
math.stackexchange.com
6
Find the differential equation given the general solution
math.stackexchange.com
6
Solve $\int_0^\infty \frac{\ln x}{x^2+4} \,\mathrm{d}x$
math.stackexchange.com
6
$\sum_{n=1}^N\lambda(n)[N/n]=[\sqrt{N}]$ Identity involving Liouville Lambda function
math.stackexchange.com
6
The speed of a boat is 5Km/h in still water. It crosses a river of width 1km along the shortest path in 15 minutes.
math.stackexchange.com
6
Why does modular exponentiation always form a cycle?
math.stackexchange.com
6
Number in binary as a product
math.stackexchange.com
6
What is an example of XOR?
math.stackexchange.com
5
What is the meaning of $d\vec S$ in a surface integral?
math.stackexchange.com
5
what is the meaning behind this combinatorial identity
math.stackexchange.com
5
Solve a limit with radicals
math.stackexchange.com
5
How to show $\lim\limits_{x \to \infty}[x(\sqrt {x^2+a} - \sqrt {x^2+b})]=\frac{a-b}{2}$
math.stackexchange.com
5
How to show that these two lines are perpendicular?
math.stackexchange.com
5
Given the following system of congruence prove the following
math.stackexchange.com
5
Prove that the series $\sum_{1}^{\infty}\frac{k}{(k+1)(k+2)(k+3)}$ converges and find its limit
math.stackexchange.com
5
Inequality and Induction: $\prod_{i=1}^n\frac{2i-1}{2i}$ $<$ $\frac{1}{\sqrt{2n+1}}$
math.stackexchange.com
5
How to derive $ \frac ab -x= \frac {c-xd}{b}+\left(\frac{b-d}{b}\right) \left(\frac{a-c}{b-d} - x \right) $
math.stackexchange.com
5
The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$
math.stackexchange.com
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