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https://www.gradesaver.com/textbooks/math/calculus/thomas-calculus-13th-edition/chapter-8-techniques-of-integration-section-8-3-trigonometric-integrals-exercises-8-3-page-462/14 | 1,679,891,340,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296946637.95/warc/CC-MAIN-20230327025922-20230327055922-00504.warc.gz | 852,970,992 | 13,824 | ## Thomas' Calculus 13th Edition
$\frac{\pi}{4}$
Recall the identity $\cos 2x=1-2\sin^{2} x$ which gives $\sin^{2}x=\frac{1-\cos 2x}{2}$. Therefore, $\int \sin^{2}x\,dx=\frac{1}{2}\int dx-\frac{1}{2}\int\cos 2x\,dx$ $= \frac{x}{2}-\frac{1}{4}\sin 2x+C$ Then $\int_{0}^{\pi/2} \sin^{2}x\,dx=[\frac{x}{2}-\frac{1}{4}\sin ... | 185 | 370 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.890625 | 4 | CC-MAIN-2023-14 | latest | en | 0.32245 |
https://slideplayer.com/slide/5677869/ | 1,709,383,610,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947475825.14/warc/CC-MAIN-20240302120344-20240302150344-00461.warc.gz | 539,631,567 | 22,106 | # Linear Inequalities in Two Variables
## Presentation on theme: "Linear Inequalities in Two Variables"— Presentation transcript:
Linear Inequalities in Two Variables
The graph of the solutions of a linear inequality in two variables is a half-plane. Procedure for Graphing Linear Inequalities 1. Rewrite the linear in... | 1,082 | 4,450 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.78125 | 5 | CC-MAIN-2024-10 | latest | en | 0.861773 |
https://anhngq.wordpress.com/2009/02/11/solving-initial-value-problem-for-wave-equation-via-fourier-transform/ | 1,643,006,001,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320304515.74/warc/CC-MAIN-20220124054039-20220124084039-00666.warc.gz | 154,939,951 | 34,080 | # Ngô Quốc Anh
## February 11, 2009
### Solving initial value problem for wave equation via Fourier transform
Filed under: Các Bài Tập Nhỏ, Linh Tinh, Nghiên Cứu Khoa Học, PDEs — Tags: — Ngô Quốc Anh @ 12:43
In this topic, we will show you how can we use Fourier transform to solve initial value problem for wave equ... | 1,826 | 4,852 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 19, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.515625 | 4 | CC-MAIN-2022-05 | latest | en | 0.541982 |
https://libraryguides.centennialcollege.ca/c.php?g=645085&p=5124707 | 1,726,203,183,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651507.67/warc/CC-MAIN-20240913034233-20240913064233-00606.warc.gz | 331,578,783 | 12,542 | # Math help from the Learning Centre
This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.
## Introduction
Question: Would you rather receive $10,000 a day for a month or one... | 1,118 | 4,377 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.84375 | 5 | CC-MAIN-2024-38 | latest | en | 0.936535 |
https://members.kidpid.com/ask/reply/22179/ | 1,695,746,299,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510214.81/warc/CC-MAIN-20230926143354-20230926173354-00421.warc.gz | 428,516,528 | 24,411 | community around the world.
Activity Discussion Math Math Reply To: Math
• ### Aashutosh
Member
June 2, 2021 at 8:22 pm
0
Pythagoras theorem states that “The square of the hypotenuse side is equal to the sum of squares of the other two sides in a right-angle triangle“. The longest side of the right-angle triangle i... | 306 | 1,049 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2023-40 | latest | en | 0.855592 |
https://themathmompuzzles.blogspot.com/2014/01/a-puzzle-that-99-will-fail-to-answer.html?showComment=1403624209783 | 1,618,493,083,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618038085599.55/warc/CC-MAIN-20210415125840-20210415155840-00121.warc.gz | 618,953,374 | 22,772 | ## Friday, January 10, 2014
### A puzzle that 99% will fail to answer.
This came from my son who got it from someone else at school.
I solved it quickly and texted him the answer just as I was getting into my car for work.
He wrote: "Wrong" and sent me a ridiculous solution.
I typed: "Ohh boy, how could you miss it! ... | 2,583 | 9,062 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.859375 | 4 | CC-MAIN-2021-17 | latest | en | 0.977077 |
http://www.creatingrealmathematicians.com/year-planner-years-3-4 | 1,656,510,257,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656103639050.36/warc/CC-MAIN-20220629115352-20220629145352-00283.warc.gz | 76,605,995 | 13,942 | ### Year Planner. Years 3/4
Year Planner Years 3 & 4 Terms 1-4
Each term revisits concepts and teaching and learning takes individual students to higher level of understanding.
Individual student growth documented against VELS Progression Points for each topic each term.
Addition Str... | 2,940 | 14,866 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.09375 | 4 | CC-MAIN-2022-27 | longest | en | 0.855621 |
https://schoollearningcommons.info/question/how-to-prove-a-2-b-2-a-2-b-2-ab-24945330-98/ | 1,632,715,984,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780058263.20/warc/CC-MAIN-20210927030035-20210927060035-00295.warc.gz | 519,760,616 | 13,157 | ## How to prove (a /2+ b)^2(a /2- b)^2= ab
Question
How to prove (a /2+ b)^2(a /2- b)^2=
ab
in progress 0
1 month 2021-08-21T22:25:28+00:00 1 Answer 0 views 0
We can show that the right side of the equation is equal to the left side, by expanding it out and then factorising:
( a+b)2+(a−b)2
= (a+b)(a+b)+(a−b)(a... | 210 | 453 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2021-39 | latest | en | 0.694171 |
https://mathoverflow.net/questions/240166/inequalities-for-marginals-of-distribution-on-hyperplane | 1,718,476,608,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861605.77/warc/CC-MAIN-20240615155712-20240615185712-00696.warc.gz | 344,710,598 | 24,854 | # Inequalities for marginals of distribution on hyperplane
Let $H = \{ (a,b,c) \in \mathbb{Z}_{\geq 0}^3 : a+b+c=n \}$. If we have a probability distribution on $H$, we can take its marginals onto the $a$, $b$ and $c$ variables and obtain three probability distributions $\alpha$, $\beta$ and $\gamma$ in $\mathbb{R}^{n... | 845 | 2,401 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.59375 | 4 | CC-MAIN-2024-26 | latest | en | 0.777733 |
https://en.m.wikipedia.org/wiki/Implicit_surface | 1,657,213,760,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656104495692.77/warc/CC-MAIN-20220707154329-20220707184329-00410.warc.gz | 288,786,052 | 23,959 | # Implicit surface
In mathematics, an implicit surface is a surface in Euclidean space defined by an equation
Implicit surface torus (R=40, a=15).
Implicit surface of genus 2.
Implicit non-algebraic surface (wineglass).
${\displaystyle F(x,y,z)=0.}$
An implicit surface is the set of zeros of a function of three vari... | 2,740 | 8,899 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 59, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.125 | 4 | CC-MAIN-2022-27 | latest | en | 0.789309 |
https://www.answers.com/Q/How_many_joules_of_energy_does_a_100_watt_light_bulb_have | 1,604,089,561,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107911229.96/warc/CC-MAIN-20201030182757-20201030212757-00115.warc.gz | 618,569,214 | 38,113 | Home Electricity
# How many joules of energy does a 100 watt light bulb have?
012
###### 2013-04-22 02:39:45
welll it really depends on the volasity of light energy but from my calculatios it is 900
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## Related Questions
there are 100 joules in an energy efficient light bulb 75 joules ... | 1,629 | 6,425 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.78125 | 4 | CC-MAIN-2020-45 | latest | en | 0.913156 |
https://www.happycompiler.com/series-sum/ | 1,623,495,441,000,000,000 | text/html | crawl-data/CC-MAIN-2021-25/segments/1623487582767.0/warc/CC-MAIN-20210612103920-20210612133920-00374.warc.gz | 735,652,807 | 40,435 | Categories
# Series Sum ISC 2014 Theory
A class SeriesSum is designed to calculate the sum of the following series:
Sum = x2 / 1! + x4 / 3! + x6 / 5! + … + xn / (n – 1)!
Some of the members of the class are given below:
Class name: SeriesSum
Data members/instance variables:
x: to store an integer number.
n: to store... | 452 | 1,722 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.515625 | 4 | CC-MAIN-2021-25 | latest | en | 0.58354 |
https://plainmath.net/91156/distance-between-1-6-and-4-7 | 1,670,026,151,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710916.70/warc/CC-MAIN-20221202215443-20221203005443-00411.warc.gz | 499,317,596 | 11,477 | # Distance between (1,-6) and (4,7)?
Distance between (1,-6) and (4,7)?
You can still ask an expert for help
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The formula for calculating... | 207 | 616 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 16, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.953125 | 4 | CC-MAIN-2022-49 | latest | en | 0.843472 |
http://perplexus.info/show.php?pid=11889&cid=61272 | 1,597,460,216,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439740423.36/warc/CC-MAIN-20200815005453-20200815035453-00472.warc.gz | 80,736,254 | 5,012 | All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
perplexus dot info
Pairs of primes (Posted on 2019-07-27)
Imagine a bag containing cards representing all n-digit odd numbers. A random card is drawn and two new numbers are created by preceding the drawn number by each of its even nei... | 578 | 2,249 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.75 | 4 | CC-MAIN-2020-34 | latest | en | 0.934202 |
https://www.bookmyessay.com/measurement-and-central-tendency-assignment/ | 1,720,899,048,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514512.50/warc/CC-MAIN-20240713181918-20240713211918-00521.warc.gz | 603,234,424 | 60,083 | # Measurement and Central Tendency Assignment Help
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## Measurement and Central Tendency Assignment Help
The measurement of central tendency is recognized as the summary of statistic which represents the unique value or the center point of a dataset. The... | 878 | 4,673 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2024-30 | latest | en | 0.938529 |
https://arcade-book.readthedocs.io/en/latest/chapters/25_recursion/recursion.html | 1,539,869,992,000,000,000 | text/html | crawl-data/CC-MAIN-2018-43/segments/1539583511872.19/warc/CC-MAIN-20181018130914-20181018152414-00098.warc.gz | 618,347,338 | 12,716 | # 28. Recursion¶
A child couldn't sleep, so her mother told her a story about a little frog,
who couldn't sleep, so the frog's mother told her a story about a little bear,
who couldn't sleep, so the bear's mother told her a story about a little weasel...
who fell asleep.
...and the little bear fell asleep;
...and the ... | 3,794 | 13,212 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.90625 | 4 | CC-MAIN-2018-43 | latest | en | 0.93039 |
https://socratic.org/questions/what-is-the-distance-between-4-3-and-2-4 | 1,579,754,743,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250608295.52/warc/CC-MAIN-20200123041345-20200123070345-00204.warc.gz | 654,390,713 | 6,211 | # What is the distance between (-4, 3) and (-2, 4) ?
Dec 5, 2015
$\sqrt{5}$
#### Explanation:
The distance between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
is given by the Pythagorean Theorem as
$\textcolor{w h i t e}{\text{XXX}} d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2... | 206 | 535 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.984375 | 4 | CC-MAIN-2020-05 | longest | en | 0.762427 |
http://www.physicsforums.com/showthread.php?t=165482 | 1,369,332,317,000,000,000 | text/html | crawl-data/CC-MAIN-2013-20/segments/1368703662159/warc/CC-MAIN-20130516112742-00098-ip-10-60-113-184.ec2.internal.warc.gz | 649,327,166 | 11,733 | ## Change of integration order?
1. The problem statement, all variables and given/known data
On this site,
http://www.math.ohio-state.edu/~gerl..._with_function
they changed integration order with e^(-ikt) integrated wrt t to t is now a constant and it's now integrated wrt k. How can one do this?
As stated from this... | 2,454 | 8,324 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.515625 | 4 | CC-MAIN-2013-20 | latest | en | 0.91773 |
https://math.stackexchange.com/questions/2373613/calculating-the-number-of-irreducible-polynomials-over-a-finite-field | 1,561,366,504,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560627999298.86/warc/CC-MAIN-20190624084256-20190624110256-00201.warc.gz | 516,993,475 | 35,932 | # Calculating the number of irreducible polynomials over a finite field
I am trying to find the number of irreducible polynomials of degree $n$ over $\mathbb{F}_p$. Here is what I have done:
(1). Let $K=\mathbb{F}_{p^n}$. Let $M(n,p)$ the number of monic irreducible polynomials of degree $n$ over $\mathbb{F}_p$.
(2)... | 889 | 2,985 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.71875 | 4 | CC-MAIN-2019-26 | longest | en | 0.844805 |
http://www.multiplication.com/learn/more/7/x/9 | 1,527,073,417,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794865595.47/warc/CC-MAIN-20180523102355-20180523122355-00329.warc.gz | 443,452,347 | 8,807 | # Learn a Fact: 7 x 9
Follow steps 1-6 to master this fact.
## More Tips to Remember 7 x 9 = 63
Step 1Put your hands on the table in front of you. Step 2Your fingers represent the numbers 1 through 10. Step 3Each finger to the left of the curled finger represents 10. Since one finger is to the left of the curled fi... | 204 | 595 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.875 | 4 | CC-MAIN-2018-22 | latest | en | 0.807995 |
https://everything.explained.today/Superquadrics/ | 1,627,082,261,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046150067.51/warc/CC-MAIN-20210723210216-20210724000216-00631.warc.gz | 264,441,268 | 6,311 | In mathematics, the superquadrics or super-quadrics (also superquadratics) are a family of geometric shapes defined by formulas that resemble those of ellipsoids and other quadrics, except that the squaring operations are replaced by arbitrary powers. They can be seen as the three-dimensional relatives of the superelli... | 1,087 | 3,767 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.8125 | 4 | CC-MAIN-2021-31 | latest | en | 0.921658 |
https://www.physicsforums.com/threads/method-od-undetermined-coeff-help-needed.168892/ | 1,511,344,729,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934806543.24/warc/CC-MAIN-20171122084446-20171122104446-00073.warc.gz | 808,944,168 | 15,156 | # Method od undetermined coeff help needed.
1. May 5, 2007
### HappMatt
1. The problem statement, all variables and given/known data
Ive been working on this problem for way too long and i can get it almost right except im missing a factor of (1/12)e^4x and for the life of me i cant figure out why. Ive been mostly t... | 714 | 2,485 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.6875 | 4 | CC-MAIN-2017-47 | longest | en | 0.930269 |
https://www.physicsforums.com/threads/why-did-they-use-only-meter-resistance-for-tau-of-inductor.848049/ | 1,529,703,092,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267864795.68/warc/CC-MAIN-20180622201448-20180622221448-00008.warc.gz | 867,525,402 | 16,258 | # Homework Help: Why did they use only meter resistance for tau of inductor
1. Dec 13, 2015
### nickmanc86
1. The problem statement, all variables and given/known datahttp://imgur.com/uLZdBJC
27. The switch has been closed for
about 1 h. It is then opened at the time defined as t 0 s.
a. Determine the time required... | 828 | 2,745 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.8125 | 4 | CC-MAIN-2018-26 | latest | en | 0.92068 |
https://convertoctopus.com/274-feet-to-yards | 1,619,167,956,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039568689.89/warc/CC-MAIN-20210423070953-20210423100953-00456.warc.gz | 294,645,168 | 7,562 | ## Conversion formula
The conversion factor from feet to yards is 0.33333333333333, which means that 1 foot is equal to 0.33333333333333 yards:
1 ft = 0.33333333333333 yd
To convert 274 feet into yards we have to multiply 274 by the conversion factor in order to get the length amount from feet to yards. We can also ... | 461 | 1,669 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.1875 | 4 | CC-MAIN-2021-17 | latest | en | 0.767378 |
https://math.stackexchange.com/questions/639972/method-of-characteristics-and-initial-value-problem | 1,643,212,302,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320304954.18/warc/CC-MAIN-20220126131707-20220126161707-00375.warc.gz | 446,520,607 | 33,802 | # Method of Characteristics and Initial Value Problem
$u_t + 3u_x = 2t$, $u(x,0)=\sin(x/2)$.
I used the method of characteristics to get the answer, $u(x,t)=t^2 + 2\sin^{-1}(x-3t)$.
Does this satisfy the initial condition? I checked for the first equation and it does; however I do not think it satisfies the intial v... | 286 | 886 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.59375 | 4 | CC-MAIN-2022-05 | latest | en | 0.899414 |
https://www.khanacademy.org/math/mr-class-10/x5cfe2ca097f0f62c:surface-area-and-volume/x5cfe2ca097f0f62c:areas-of-combination-of-plane-figures/v/area-of-shaded-region | 1,686,266,349,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224655143.72/warc/CC-MAIN-20230608204017-20230608234017-00718.warc.gz | 885,971,197 | 60,522 | If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
## Class 10 (Marathi)
### Course: Class 10 (Marathi)>Unit 11
Lesson 6: Areas of combination of pl... | 350 | 1,324 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.6875 | 4 | CC-MAIN-2023-23 | latest | en | 0.935451 |
https://www.physicsforums.com/threads/physics-problem-with-spring-constant-and-kinetic-friction.790440/ | 1,508,825,320,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187828178.96/warc/CC-MAIN-20171024052836-20171024072836-00327.warc.gz | 965,717,625 | 17,924 | # Physics Problem with Spring Constant and Kinetic Friction
1. Jan 3, 2015
### Q7heng
1. The problem statement, all variables and given/known data
A person attaches a spring to an cubic object that weighs 36kg and pulls this object along a table made of material X horizontally with a steady speed of 1.3m/s. The spri... | 647 | 2,202 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.671875 | 4 | CC-MAIN-2017-43 | longest | en | 0.911221 |
https://www.queryhome.com/puzzle/12075/if-3-4-3-4-4-35-5-4-4-6-4-12-7-4-60-then-8-4 | 1,542,088,054,000,000,000 | text/html | crawl-data/CC-MAIN-2018-47/segments/1542039741219.9/warc/CC-MAIN-20181113041552-20181113063552-00308.warc.gz | 970,446,273 | 31,146 | # If 3+4=3; 4+4=35; 5+4=4; 6+4=12; 7+4=60 then 8+4=?
2,945 views
If
3+4=3
4+4=35
5+4=4
6+4=12
7+4=60
Then
8+4=?
posted Jan 10, 2016
Ans will be 5
Look
3+4=3 in this
Multiply these 3 and 4 and when u get the two digit ans, square the both, higher digit square will be substracted by lower digit square
Now 3*4=12
2^ -... | 374 | 716 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4 | 4 | CC-MAIN-2018-47 | latest | en | 0.568094 |
https://www.exactlywhatistime.com/time-from/107-weeks-from-today | 1,718,895,503,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861957.99/warc/CC-MAIN-20240620141245-20240620171245-00886.warc.gz | 665,817,556 | 7,701 | # What's the date 107 weeks from today?
## Thursday July 09, 2026
0
107 weeks from today will be 09 Jul 2026, a Thursday. For half-year projections, double-check whether 107 weeks forward remains within 2024. It seems that 107 weeks from now will bring us back to pre 2023. Please include this into our planning as it... | 1,041 | 4,141 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.578125 | 4 | CC-MAIN-2024-26 | latest | en | 0.937656 |
https://mocktestpro.in/mcq/fluid-mechanics-mcq-surface-tension-capillarity-vapour-pressure-and-cavitation/ | 1,685,258,701,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224643585.23/warc/CC-MAIN-20230528051321-20230528081321-00447.warc.gz | 444,016,778 | 23,678 | Engineering Questions with Answers - Multiple Choice Questions
# Fluid Mechanics MCQ – Surface Tension, Capillarity, Vapour Pressure and Cavitation
1 - Question
Calculate the magnitude of capillary effect in millimeters in a glass tube of 7mm diameter, when immersed in mercury. The temperature of the liquid is 25℃ a... | 1,199 | 4,023 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.8125 | 4 | CC-MAIN-2023-23 | latest | en | 0.793148 |
https://gmatclub.com/forum/if-x-2-3x-k-30-what-is-the-value-of-k-263056.html | 1,563,384,802,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195525355.54/warc/CC-MAIN-20190717161703-20190717183703-00508.warc.gz | 409,524,126 | 146,170 | Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.
It is currently 17 Jul 2019, 10:33
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have sub... | 1,271 | 3,845 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.15625 | 4 | CC-MAIN-2019-30 | latest | en | 0.851621 |
https://byjusexamprep.com/syllogism-for-ssc-exams-i-03d9a2c3-b92c-11e5-a60c-80817d4bb946 | 1,631,876,941,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780055632.65/warc/CC-MAIN-20210917090202-20210917120202-00592.warc.gz | 193,134,483 | 76,029 | Tricks to solve Syllogism easily in Reasoning Section!
By Parnab Mallick|Updated : January 6th, 2021
The Reasoning section of SSC Exams includes questions from the topic “Syllogisms”. Syllogism is very important not only for SSC CGL but for all the SSC Exams. Students generally find difficulty in understanding Syllogi... | 1,569 | 6,495 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.53125 | 5 | CC-MAIN-2021-39 | longest | en | 0.958912 |
http://mathhelpforum.com/pre-calculus/119405-quadratic-factors-cubic-polynomial.html | 1,526,903,983,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794864063.9/warc/CC-MAIN-20180521102758-20180521122758-00285.warc.gz | 185,826,809 | 12,127 | 1. Quadratic factors of a cubic polynomial
If x² + bx -2 is factor of xcubed + (2b-1)x² - p, find two possible values of p.
Im not sure what method to use to solve this. do i divide them?
2. Hello Detanon
Originally Posted by Detanon
If x² + bx -2 is factor of xcubed + (2b-1)x² - p, find two possible values of p.
I... | 1,240 | 4,011 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.3125 | 4 | CC-MAIN-2018-22 | latest | en | 0.836116 |
https://math.stackexchange.com/questions/3172943/number-of-matrices-with-each-row-and-column-having-exactly-one-1 | 1,561,542,965,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560628000266.39/warc/CC-MAIN-20190626094111-20190626120111-00226.warc.gz | 512,959,215 | 35,924 | Number of matrices with each row and column having exactly one 1.
Consider a square matrix of order $$n = 5$$ such that $$a_{ij} = 0 ~ \forall ~ i+j = n+1; a_{ij} \in \{0,1\}$$. In each row as well as in each column there is only one non zero element. Then number of such matrices is?
First we note that right diagonal... | 406 | 1,221 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2019-26 | longest | en | 0.864078 |
http://mathoverflow.net/questions/61125/system-of-two-second-order-differential-equations | 1,469,681,712,000,000,000 | text/html | crawl-data/CC-MAIN-2016-30/segments/1469257827791.21/warc/CC-MAIN-20160723071027-00085-ip-10-185-27-174.ec2.internal.warc.gz | 160,288,893 | 16,449 | # system of two second order differential equations
Hi everyone, I know that this system dont have analytical solutions. I want to get numerical solutions, but in function of some constants $A_i$. Mathematica can help me, but if somebody have idea? This equations describe a physical model
$$A_6 x + A_4 (y')^2 - 2 A_2... | 1,122 | 3,683 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.796875 | 4 | CC-MAIN-2016-30 | latest | en | 0.850732 |
https://math.stackexchange.com/questions/1416175/ternary-expansion-and-cantor-set | 1,563,608,528,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195526489.6/warc/CC-MAIN-20190720070937-20190720092937-00339.warc.gz | 474,247,133 | 35,396 | # Ternary expansion and Cantor set
If $x$ has a ternary expansion $\sum \limits_{k=1}^{\infty}\dfrac{c_k}{3^k}$ where each $c_k\in \{0,2\}$ then $x$ belongs to Cantor set.
Proof: Suppose $x$ has a ternary expansion $\sum \limits_{k=1}^{\infty}\dfrac{c_k}{3^k}$ where each $c_k\in \{0,2\}$. We will show $x\in C$ by ind... | 711 | 1,659 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2019-30 | latest | en | 0.526084 |
https://blog.c0nrad.io/posts/scattering-angles/ | 1,611,528,601,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703557462.87/warc/CC-MAIN-20210124204052-20210124234052-00301.warc.gz | 236,031,974 | 5,498 | ## Learning and learning
Aug 30, 2020 - 3 minute read
# Scattering Angles
Calculating scattering angles from fully elastic spherical collision.
## Background
In one of my first blog posts, I talked about the difficulty I had with calculating the resulting angles from a collision of two spheres.
I could bounce obj... | 877 | 3,469 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.765625 | 4 | CC-MAIN-2021-04 | longest | en | 0.899301 |
https://ddxart.co.uk/the-goldbach-conjecture/ | 1,631,869,714,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780055632.65/warc/CC-MAIN-20210917090202-20210917120202-00578.warc.gz | 235,816,442 | 8,881 | # The Goldbach Conjecture
Mathematicians like to prove things. Things that most of us would take for granted, statements like 1+1=2 are of no use to a mathematician unless it they can be ‘proved’ – demonstrated to be true in every circumstance. In Bertrand Russell and Alfred North Wallace’s great work, The Principles ... | 695 | 3,221 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.609375 | 4 | CC-MAIN-2021-39 | latest | en | 0.973207 |
https://physics.com.hk/2021/08/10/ex-1-21-the-dumbbell-3-2/ | 1,675,619,890,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500273.30/warc/CC-MAIN-20230205161658-20230205191658-00356.warc.gz | 477,335,245 | 16,816 | # Ex 1.21 The dumbbell, 3.2
Structure and Interpretation of Classical Mechanics
.
c. Make a change of coordinates to a coordinate system with center of mass coordinates $\displaystyle{x_{cm}}$, $\displaystyle{y_{cm}}$, angle $\displaystyle{\theta}$, distance between the particles $\displaystyle{c}$, and tension forc... | 1,750 | 4,361 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 29, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.3125 | 4 | CC-MAIN-2023-06 | latest | en | 0.356996 |
http://math.stackexchange.com/questions/265897/whether-twin-primes-satisfy-this-one | 1,466,820,119,000,000,000 | text/html | crawl-data/CC-MAIN-2016-26/segments/1466783391766.5/warc/CC-MAIN-20160624154951-00135-ip-10-164-35-72.ec2.internal.warc.gz | 188,713,330 | 18,105 | # Whether twin primes satisfy this one?
It seems that difference of squares of any twin primes $+1$ will always lead to
number which might be
a) A square of a twin prime
b) Itself a twin prime
$C$ = ($A^2$-$B^2$ )+$1$ ------> $(1)$
Where
$C$ --- > might be a twin prime or square of a twin prime,
$A$ and $B$ are twin... | 635 | 1,716 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.5625 | 4 | CC-MAIN-2016-26 | latest | en | 0.83293 |
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