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66 Questions

Views Newest Activity Votes

votes

answers

597

views

Calculate $\frac13+\frac29+\frac{1}{27}+\frac{2}{81}+\frac{1}{243}+\frac{2}{729}+\ldots$

sequences-and-series

Apr 5 '13 at 0:08 André Nicolas 463k

votes

answers

748

views

What does $ d\tan(x) = \sec^2(x)\,dx $ mean?

calculus integration

Aug 18 '17 at 18:40 Michael Hardy 227k

votes

answers

views

Finding a non constant solution to $ (x')^2+x^2=9 $

calculus ordinary-differential-equations

Sep 18 '13 at 12:10 user64494 4,890

votes

answers

166

views

Integrating $x/(x-2)$ from $0$ to $5$

calculus integration improper-integrals

Mar 23 '13 at 0:07 robjohn♦ 284k

votes

answers

views

Showing one set is a subset of another

elementary-set-theory logic discrete-mathematics

Dec 14 '13 at 15:21 Namaste 1

votes

answers

202

views

Evaluating $ \int \frac{\sqrt{1+x}}{x} $

integration

Apr 22 '13 at 17:32 Community♦ 1

votes

answers

20k

views

Prove that if n is a perfect square, then n+2 is not a perfect square

discrete-mathematics

Jul 29 at 7:46 mlchristians 2,297

votes

answer

views

Surface integral of vector field over a unit ball

calculus

May 8 '14 at 6:38 Bob Shannon 1,403

votes

answers

139

views

Differential Equation and Bernoulli

calculus ordinary-differential-equations differential

Mar 16 '14 at 0:43 Community♦ 1

votes

answers

916

views

Set logic to propositional logic

elementary-set-theory propositional-calculus

Nov 17 '13 at 20:02 Julien Clancy 3,962

votes

answer

views

McLaurin Series Representation of $ f(x)=10^x $

calculus

May 7 '13 at 3:59 Alex Wertheim 16.9k

votes

answers

views

Evaluating the limit of $\ln(2x)/\ln(x)$ as $x\to\infty$

calculus

Apr 3 '13 at 1:47 George V. Williams 4,819

votes

answers

views

Determining if a Telescoping Series is convergent or not

calculus sequences-and-series

May 20 at 9:37 user228362 5

votes

answer

views

Proving that everything in a language can be generated by a grammar

formal-languages context-free-grammar

Mar 31 '16 at 22:51 dtldarek 33.9k

votes

answer

views

Fourier Transform of x(-2t+4)

fourier-analysis

May 6 '14 at 7:47 Mamal 374

votes

answers

930

views

Proving for every odd number $x$, $x^2$ is always congruent to $1$ or $9$ modulo $24$

discrete-mathematics

May 3 '14 at 12:48 Community♦ 1

votes

answer

views

Solving a second order homogenous ODE with double roots

ordinary-differential-equations

Oct 6 '13 at 17:19 Amzoti 52.7k

votes

answer

views

Solving a second order homogenous ODE with non-real complex roots

calculus ordinary-differential-equations

Oct 5 '13 at 22:02 Mhenni Benghorbal 44.1k

vote

answer

views

Solving a integro-differential equation

laplace-transform integro-differential-equations

Sep 24 '18 at 16:16 Adrian Keister 8,191

vote

answer

views

Partial Fraction Decomposition in $ \frac{s^3-1}{(s^2+6)^2(s+12)^2} $.

partial-fractions

Aug 7 '18 at 6:56 Nosrati 28.5k

vote

answers

views

Does a purely imaginary number have a corresponding “angle” in polar coordinate system?

complex-numbers

Apr 24 '18 at 18:43 David K 62.8k

vote

answer

889

views

Calculating expected value of a pareto distribution

probability integration probability-distributions

Apr 8 '15 at 0:38 Chappers 60.2k

vote

answers

views

Number of ways to group digits in {1,2,3,4,5,6,7,8,9} into numbers, while maintaining order

combinatorics permutations

Oct 14 '14 at 6:15 Marc van Leeuwen 93.6k

vote

answer

227

views

Proving an asymptotic run time is faster than another using L’Hôpital’s

calculus limits algorithms asymptotics

Jul 16 '14 at 17:25 Community♦ 1

vote

answers

views

Union and Intersection of Collection of Sets

discrete-mathematics

Jun 10 '14 at 12:29 Community♦ 1

vote

answers

views

Using the Modulation property of the Fourier Transform

fourier-analysis transformation

May 8 '14 at 22:42 Bob Shannon 1,403

vote

answer

views

Evaluating the surface integral where S is part of a plane and inside a cylinder

calculus

May 8 '14 at 4:28 David H 24k

vote

answers

views

Proving n is a multiple of 3 if and only if 2n is a multiple of 3

discrete-mathematics

Dec 11 '13 at 18:12 Magdiragdag 11.3k

vote

answers

views

Finding the recurrence relation of a known series $\frac{1}{2}+\frac{1}{24}+\frac{1}{720}+…$

sequences-and-series

Dec 8 '13 at 13:04 R. J. Mathar 11

vote

answer

453

views

Laplace transform of two functions

laplace-transform

Nov 24 '13 at 23:35 Mhenni Benghorbal 44.1k

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66 Questions

Calculate $\frac13+\frac29+\frac{1}{27}+\frac{2}{81}+\frac{1}{243}+\frac{2}{729}+\ldots$

What does $ d\tan(x) = \sec^2(x)\,dx $ mean?

Finding a non constant solution to $ (x')^2+x^2=9 $

Integrating $x/(x-2)$ from $0$ to $5$

Showing one set is a subset of another

Evaluating $ \int \frac{\sqrt{1+x}}{x} $

Prove that if n is a perfect square, then n+2 is not a perfect square

Surface integral of vector field over a unit ball

Differential Equation and Bernoulli

Set logic to propositional logic

McLaurin Series Representation of $ f(x)=10^x $

Evaluating the limit of $\ln(2x)/\ln(x)$ as $x\to\infty$

Determining if a Telescoping Series is convergent or not

Proving that everything in a language can be generated by a grammar

Fourier Transform of x(-2t+4)

Proving for every odd number $x$, $x^2$ is always congruent to $1$ or $9$ modulo $24$

Solving a second order homogenous ODE with double roots

Solving a second order homogenous ODE with non-real complex roots

Solving a integro-differential equation

Partial Fraction Decomposition in $ \frac{s^3-1}{(s^2+6)^2(s+12)^2} $.

Does a purely imaginary number have a corresponding “angle” in polar coordinate system?

Calculating expected value of a pareto distribution

Number of ways to group digits in {1,2,3,4,5,6,7,8,9} into numbers, while maintaining order

Proving an asymptotic run time is faster than another using L’Hôpital’s

Union and Intersection of Collection of Sets

Using the Modulation property of the Fourier Transform

Evaluating the surface integral where S is part of a plane and inside a cylinder

Proving n is a multiple of 3 if and only if 2n is a multiple of 3

Finding the recurrence relation of a known series $\frac{1}{2}+\frac{1}{24}+\frac{1}{720}+…$

Laplace transform of two functions