content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
values of k
September 24th 2009, 01:11 AM
mark
values of k
hi, i'm stuck on a question and would like some help please:
find the values for k for which the quadratic equation $3x^2 + (6 - k)x + 12 = 0$ has equal roots. i used the discriminant theory and got it to $\sqrt{36 - 12k + k^2 - 144}$ = $\sqrt{-108 ... | 4 | [
0.01171875,
0.00067138671875,
-0.0245361328125,
0.01519775390625,
-0.138671875,
0.0947265625,
-0.043701171875,
0.013427734375,
0.0262451171875,
0.021728515625,
0.08837890625,
0.039794921875,
0.00016498565673828125,
-0.0223388671875,
-0.0306396484375,
0.00823974609375,
-0.03515625,
... | 33,400 | 33400 | |
integral from 1 to infiinity of ln x / (x^2) equals 1. How?!!?!?! (PLEASE HELP)!!
December 17th 2012, 04:28 PM
skinsdomination09
integral from 1 to infiinity of ln x / (x^2) equals 1. How?! (IMPROPER INTEGRATION)
I integrated the function to become
ln x / (x^2)
u = lnx
du = 1/x
dv = 1/x^2
v... | 5 | [
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-0.00653076171875,
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0.091796875,
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0.0274658203125,
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0.06494140625,
0.004638671875,
0.0286865234375,
0.037109375,
-0.07568359375,
-0.01153564453125,
0.01153564453125,
-0.078125,... | 33,401 | 33401 | |
complex no. again
May 22nd 2008, 08:28 AM #1
Member
Joined
Sep 2007
Posts
176
complex no. again
p306
in my textbook it writes:
given: $z^4 =1+i$
$z = [\sqrt 2 (cos \frac \pi 4 + i sin\frac \pi 4 )]^ {\frac 1 4}$
where does the $\pm$ go?
i don't understand why it shouldn't be $z = \pm ... | 4 | [
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0.1201171875,
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0.057861328125,
-0.027587890625,
-0.07128... | 33,402 | 33402 | |
Solution
Solution to puzzle 129: Abelian group
Let G be a group with the following two properties:
1. (i) For all x, y in G, (xy)^2 = (yx)^2,
2. (ii) G has no element of order 2.
Prove that G is abelian.
A number of different solutions are possible.
Solution 1
Let e be the identity element. Consider any two g... | 5 | [
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0... | 33,403 | 33403 | |
Week 3: Naive Bayes, Laplace Smoothing, APIs and Scraping data off the web
Cathy OβNeil blogs about the class each week.
Crossposted from mathbabe.org
In the third week of the Columbia Data Science course, our guest lecturer was Jake Hofman. Jake is at Microsoft Research after recently leaving Yahoo! Research. He got... | 5 | [
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-0.04321289062... | 33,404 | 33404 | |
probability of growing a healthy plant
August 2nd 2009, 06:25 PM #1
Junior Member
Joined
Feb 2009
Posts
41
probability of growing a healthy plant
If a seed is planted, it has a 65% chance of growing into a healthy plant.
If 10 seeds are planted, what is the probability that exactly 2 don't grow?
... | 4 | [
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0.08984375,
-0.047119140625,
-0.07763... | 33,405 | 33405 | |
How do I solve this limit?
November 22nd 2011, 04:23 PM #1
Member
Joined
Jul 2011
Posts
196
How do I solve this limit?
$\lim_{x\to\infty}\frac{sin(x^2+5)}{x^2}$
I know that $sin(x^2+5)$ will oscillate between 1 and -1 and that $\lim_{x\to\infty}\frac{1}{x^2}$ = 0
Is this a case for using the sq... | 5 | [
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-0.02783203125,
-0.0717773... | 33,406 | 33406 | |
Solve for x
August 3rd 2010, 05:00 AM #1
Junior Member
Joined
Jul 2009
Posts
68
Solve for x
21x^2 - 83x + 34 = 0
i know i will get two values of ex by factorization. but i am not being able to middle term factorize it.
Try the quadratic formula.
It's not factorable. For it to be factorable... | 4 | [
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-0.017944335937... | 33,407 | 33407 | |
simple proof
February 17th 2008, 12:28 PM
rodemich
simple proof
How would you prove this, I'm stuck. Thanks
Let A and B be sets. Then A union B = A if and only if B is subset of A.
February 17th 2008, 04:15 PM
TwistedOne151
First, you can see from the definition of a subset and from the definition of... | 4 | [
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The Missing Intercept
March 29th 2009, 03:26 AM #1
Super Member
Joined
May 2006
From
Lexington, MA (USA)
Posts
11,659
Thanks
600
The Missing Intercept
The Missing Intercept
I posted this puzzle some time ago,
but no one provided a satisfactory answer.
Given: . $\begin{Bmatrix}x \:... | 4 | [
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... | 33,409 | 33409 | |
Calculus - Integrals
Posted by David on Tuesday, March 25, 2008 at 9:43pm.
I made this question, just wanted to make sure it didn't drown under the tide...
I've set a problem up, something like this.
s^4: A+D=0
s^3: -2A+B-3D+E=0
s^2: 2A-B+C+3D-3E=0
s^1: -2A+B-D+3E=4
s^0: A+C-E=4
Count Iblis
-It's easier to sub... | 5 | [
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On the Convergence of Multistep Iteration for Uniformly Continuous
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 386983, 9 pages
http://dx.doi.org/10.1155/2012/386983
Research Article
On the Convergence of Multistep Iteration for Uniformly Continuous -Hemicontractive Mappings
^1Department of Mathemat... | 5 | [
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... | 33,411 | 33411 | |
Determine the convergence of a recursive sequence
Let $x_1 = 3$ and $x_{n+1} = (4-x_n)^{-1}$ Determine the convergence of the sequence.
Can you show that this sequence is decreasing and bounded?
Thanks Plato. We have $0<x_2 = 1 = \frac{1}{4-3}<3=x_1<4$. Suppose $0<x_n<\cdots < x_1<4$ then $x_{n+1} = 1/(4-x_n) > 0$ an... | 5 | [
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-0.04858398437... | 33,412 | 33412 | |
Andy's Math/CS page
On the Move
Time for a personal update: this week I began a stay as a visiting student at MIT's CS and AI Lab (CSAIL)--a very exciting place to be for a young would-be theorist. For this privilege I have friend,
fellow blogger, and new MIT prof Scott Aaronson to thank--thanks, Scott!
While here, I... | 5 | [
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0.0625,
-0.0046997070312... | 33,413 | 33413 | |
Homework Help
Posted by mani on Tuesday, April 2, 2013 at 12:42pm.
a point F is at a certain distance from a line AB .Another point P is moving in a plane such that the ratio of it's distance from F and line AB remains constant .find the locus of the point P
β’ geometry - Steve, Tuesday, April 2, 2013 at 1:35pm
... | 4 | [
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Irreducible, real root, extension, linear combination
October 27th 2008, 06:24 AM #1
Junior Member
Joined
Sep 2008
Posts
48
Irreducible, real root, extension, linear combination
a) Prove that the polynomial $f(X)=X^3-6X^2+9X+3$ is irreducible over $Q$
b) Consider the extension $Q \subset Q(u)$ where... | 4 | [
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-0.0415... | 33,415 | 33415 | |
matrices problem...
April 23rd 2009, 06:28 PM #1
Junior Member
Joined
Jan 2009
From
india
Posts
51
matrices problem...
Q:let A and B be real matrices such that sum of each row of A is 1 and sum of each row of B is 2.then show that 2 is an eigen value of AB?
let $x=\begin{bmatrix}1 & 1 & . & . & ... | 4 | [
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-0.0... | 33,416 | 33416 | |
Calculus problem
May 14th 2009, 09:18 AM #1
Newbie
Joined
Mar 2009
Posts
17
Calculus problem
1) $y^3 -y = 2x$
show,
$9(x^2 - \frac{1}{27})\frac{d^2 y}{dx^2} + 9x\frac{dy}{dx}=y$
i tried this few times but i couldn't get the answer
2)
$\int_0^\pi \frac{x}{1-sin(x)cos(\alpha)}dx= \fr... | 4 | [
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-0.019775390625,
-0.02... | 33,417 | 33417 | |
Standard Equation of an Ellipse
July 23rd 2009, 08:36 PM #1
Newbie
Joined
Jun 2009
Posts
10
Standard Equation of an Ellipse
I am having trouble finding the standard form of an ellipse, being given the following equation:
$<br /> 36x^2+9y^2+48x-36y+43=0<br />$
I know that I have to group terms an... | 4 | [
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Solve for X in equations
Solve for x in each equation. Question 1. $e^{5x} = 46.38^{(2.6)}$ Question 2. $e^x-e^{-x}=4$
Question 2: Multiply through by $e^x$ $e^x-e^{-x}=4$ so: $e^{2x}-1=4 e^x$ then let $y=e^x$ so: $<br /> y^2-4y-1=0<br />$ solving this gives $y=2 \pm \sqrt{5}$, but as $y>0$ only $y=2+\sqrt{5}$ is a
va... | 4 | [
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... | 33,419 | 33419 | |
about rates
July 23rd 2008, 02:03 PM #1
Newbie
Joined
Jul 2008
Posts
2
about rates
Suppose a particle is moving along a path described by g(x)=x^2/((x-4)^2). At the point (3,9), the X-coordinate of the particle is decreasing at a rate of 2.4cm/s. At what rate is the
y-coordinate of the particle chang... | 5 | [
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-... | 33,420 | 33420 | |
Erdos proof Sum of Reciprocals of Primes
November 20th 2010, 03:32 PM #1
Junior Member
Joined
Feb 2009
Posts
31
Erdos proof Sum of Reciprocals of Primes
I've been going through the Erdos proof that the sum of the reciprocals of primes is divergent. I'm having trouble understanding why there are 2^k possi... | 4 | [
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0... | 33,421 | 33421 | |
Homework Help
Posted by Justin on Tuesday, May 1, 2012 at 9:43pm.
Three point charges, +6.7e-6, +2.5e-6, and -3e-6, lie along the x-axis at 0 cm, 2.4 cm, and 5.7, repectively.
What is the force exerted on q1 by the other two charges? (to the right is positive) . The coulomb constant is 8.99*10^9 N*m^2/C^2
What is th... | 4 | [
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Most General solution of Laplace's equation
January 16th 2009, 05:35 AM #1
Most General solution of Laplace's equation
Laplace's equation written in plane polar coordinates $(r,\theta)$ is
$T_{rr} + \frac{1}{r}T_r + \frac{1}{r^2}T_{\theta \theta} = 0$
I need to find the most general solution $T(r)$ whic... | 4 | [
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-0.0... | 33,423 | 33423 | |
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory
International Journal of Differential Equations
VolumeΒ 2011Β (2011), Article IDΒ 575383, 26 pages
http://dx.doi.org/10.1155/2011/575383
Research Article
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Sem... | 4 | [
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0.0520019531... | 33,424 | 33424 | |
Logs
December 8th 2012, 05:45 PM
M670
Logs
OK so i have $\log_2(2x)+\log_2(x-3)=3$
I think I should rewrite it as follows $\log_2(2x(x-3))=3$ then what?
and I need help with $e^-2x+3\bullet e^-x=10$
December 8th 2012, 05:49 PM
topsquark
Re: Logs
December 8th 2012, 05:53 PM
topsquark
Re: Logs
F... | 4 | [
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0.0834... | 33,425 | 33425 | |
Arithmetic Progression X.x
May 5th 2008, 04:26 AM #1
Member
Joined
Jan 2008
Posts
132
Arithmetic Progression X.x
Thank you for helping! I am soooooooo frustrated with arithmetic and geometric progression because I keep getting stuck at it. sigh.
Q1: The sum to n terms of a particular series is given... | 4 | [
-0.041748046875,
0.064453125,
0.03662109375,
-0.1123046875,
-0.037353515625,
0.07421875,
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0.003265380859375,
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0.008544921875,
-0.00946044921875,
-0.0079345703125,
-0.08056640625,
-0.02648925... | 33,426 | 33426 | |
Minimal normal subgroups.
March 19th 2012, 06:14 AM #1
Member
Joined
Feb 2009
Posts
138
Minimal normal subgroups.
Hi:
In a certain book the following definition is given: Let G be a group. A normal subgroup N $eq$ 1 of G is a minimal normal subgroup of G if 1 and N are the only normal subgroups of G... | 5 | [
0.03759765625,
0.0257568359375,
0.140625,
0.076171875,
0.03515625,
0.019775390625,
0.095703125,
0.0478515625,
-0.006256103515625,
-0.078125,
0.0634765625,
-0.0260009765625,
-0.006134033203125,
-0.07861328125,
-0.030029296875,
0.043212890625,
-0.01165771484375,
-0.0225830078125,
-... | 33,427 | 33427 | |
A permutation/ race problem
November 6th 2012, 10:51 AM #1
A permutation/ race problem
Permutation questions please help?
There are 12 children in a race wearing different coloured hats. 4 Red, 4 blue and 4 white hats.
How many possible outcomes of the race are there in which 3 of the first 5 children ... | 4 | [
0.0150146484375,
0.025146484375,
0.003662109375,
-0.0211181640625,
0.02490234375,
0.1123046875,
0.00159454345703125,
-0.0179443359375,
0.01531982421875,
0.0751953125,
-0.005096435546875,
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0.0211181640625,
0.01708984375,
-0.06396484375,
0.042236328125,
-0.0625,
0.0056457... | 33,428 | 33428 | |
Transversing Paths
May 16th 2009, 02:29 AM #1
Member
Joined
May 2008
Posts
101
Transversing Paths
Hi, here I have a problem with how to travel across a shape without going alone the same line twice. Capitalization and 'lower case-alization' of single letters (except I) are intentional in this
questio... | 4 | [
0.01806640625,
-0.060791015625,
0.0235595703125,
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0.0286865234375,
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0.0546875,
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0.0732421875,
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0.0... | 33,429 | 33429 | |
Homework Help
Posted by Patrick on Thursday, November 22, 2007 at 10:19pm.
the height of your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the width of your monitor as well. Use the Pythagorean theorem to find the length of the
diagonal of your monitor. In your post, include t... | 4 | [
0.0255126953125,
0.08642578125,
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0.01007080078125,
0.029052734375,
-0.00133514... | 33,430 | 33430 | |
Factorizing -Where to next?
October 6th 2008, 03:26 AM #1
Newbie
Joined
Oct 2008
From
Cairns
Posts
12
Factorizing -Where to next?
Hi everyone, having a lot of trouble with Calculus and was wondering if anyone can help.
I have d(t)= -5e^(-5t) x cos(10t)
u = -5e^(-5t)
v = cos(10t)
du... | 5 | [
-0.07080078125,
0.0279541015625,
0.042236328125,
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0.034912109375,
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0.12890625,
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-0.027099609375,
-0.048583984375,
0.... | 33,431 | 33431 | |
integration problem
$\int{x^{3}\sqrt{x^{2}+1}}dx$ If you let $u=x^{2}+1, \;\ \frac{du}{2}=xdx \;\ u-1=x^{2}$ it'll turn it to something much easier.
To get rid of the square root, one also can set $u^2=x^2+1.$
Hello, Andreamet! $\int x^3(x^2+1)^{\frac{1}{2}}\,dx$ We can do it By Parts . . . . . . $\begin{array}{ccccc... | 5 | [
0.031005859375,
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0.07666015625,
-0.0634765625,
-0.0498046875,
-0.016357421875,
0.027587890... | 33,432 | 33432 | |
Computational & Applied Mathematics
Services on Demand
Article
Indicators
Related links
Share
On-lineΒ versionΒ ISSN 1807-0302
Comput. Appl. Math.Β vol.28Β no.1Β SΓ£o CarlosΒ Β 2009
Β
Central schemes for porous media flows
E. Abreu^I; F. Pereira^II; S. Ribeiro^III
^IInstituto Nacional de MatemΓ‘tica Pura e Aplicada, 2... | 4 | [
-0.04541015625,
0.000965118408203125,
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0.07470703125,
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-0.011962890625,
0.0732421875,
0.02392578125,
-0.059326171875,
-0.056640625,
-0.0120849... | 33,433 | 33433 | |
Laplace transform problem
September 6th 2009, 06:30 AM #1
Newbie
Joined
Sep 2009
Posts
5
[SOLVED]Laplace transform problem
Compute the Laplace transform of $cos(at-b)$, where $a,b$ are real numbers.
I've tried this several times and I am ending up with an answer that I know is wrong. I seem to be ma... | 5 | [
-0.09375,
0.07763671875,
0.0128173828125,
-0.068359375,
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-0.0240478515625,
0.044189453125,
0.0003337860107421875,
0.042724609375,
0.00180816650390625,
0.00982666015625,
-0.01348876953125,
0.006317138671875,
-0.052490234375,
0.07958984375,
-... | 33,434 | 33434 | |
Binomial coefficient
August 19th 2011, 10:35 PM #1
Binomial coefficient
Let $p\geq3$ be a prime number, and let m and $k<p^m$ be positive integers. Show that $\dbinom{p^m}{k}$ is divisible by p.
Re: Binomial coefficient
We have the simple identity $\binom{p^m}{k}=\binom{p^m-1}{k-1}\cdot\frac{p^m}{k}$ for $0... | 5 | [
0.0546875,
0.00811767578125,
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0.0228271484375,
0.04150390625,
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0.08544921875,
-0.0576171875,
0.0235595703125,
0.022216796875,
0.0213623046875,
0.03125,
0.1279296875,
0.00653076171875,
0.0830078125,
0.0142... | 33,435 | 33435 | |
1/f noise
1/f noise
From Scholarpedia
Lawrence M. Ward and Priscilla E Greenwood (2007), Scholarpedia, 2(12):1537. doi:10.4249/scholarpedia.1537 revision #90924 [link to/cite this article]
\(1/f\) noise refers to the phenomenon of the spectral density, \(S(f)\ ,\) of a stochastic process, having the form
\[S(f)=co... | 4 | [
-0.01397705078125,
-0.061279296875,
-0.047119140625,
0.11181640625,
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0.0319824... | 33,436 | 33436 | |
Theorems with unexpected conclusions
up vote 59 down vote favorite
52
I am interested in theorems with unexpected conclusions. I don't mean an unintuitive result (like the existence of a space-filling curve), but rather a result whose conclusion seems disconnected from
the hypotheses. My favorite is the following. Let... | 4 | [
-0.0673828125,
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0.048583984375,
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0.037841796875,
0.07373046875,
0.004180908203125,
-0.0517578125,
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0.0189208984375,
0.0264892578125,
-0.0439453125,
-0.00970458984375,
-0.051025390... | 33,437 | 33437 | |
If the three unique positive digits A,B, and C are arranged
Author ... | 4 | [
-0.058349609375,
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-0.01287841796875,
-0.047607421875,
0.06884765625,
-0.08984... | 33,438 | 33438 | |
Combinations Probability Problem
January 13th 2011, 12:04 PM #1
Newbie
Joined
May 2010
Posts
20
Combinations Probability Problem
Any help on how to do the following probability problem would be appreciated.
Thanks
I have planted new tulip bulbs in my front yard, but confused the colors of the... | 5 | [
0.059326171875,
-0.06689453125,
0.01080322265625,
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0.047119140625,
-0.0595703125,
0.021240234375,
0.026123046875,
0.0458984375,
0.031494140625,
0.039794921875,
-0.059326171875,
0.01611328125,
0.1455078125,
-0.10888671875,
-0.05053710... | 33,439 | 33439 | |
Connected Rates Of Change (Calculus) - Need an Answer.
September 4th 2012, 08:36 AM #1
Junior Member
Joined
Apr 2012
From
Mauritius
Posts
45
Thanks
2
I am unable to get the right answer, closest answer : -0.01(r-1)
Trying again and again it keeps raising a lot more of other questions, that is ... | 5 | [
-0.05322265625,
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0.047607421875,
0.0294189453125,
0.07861328125,
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0.080078125,
0.01495361328125,
-0.0086669921875,
-0.0208740234375,... | 33,440 | 33440 | |
Spring System
Classical Simple Harmonic Oscillators.
Mass on a Spring System.
Problem statement
Let m be the mass of a structureless body supported by a spring
with a uniform force constant k as shown in the diagram.
Set up the differential equation of motion that determines
the displacement of the mass from its equ... | 5 | [
-0.04296875,
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0.0771484375,
-0.00469970703125,
0.02355957... | 33,441 | 33441 | |
Prove that 3
May 29th 2011, 04:50 AM #1
Junior Member
Joined
Jul 2009
Posts
68
Prove that 3
if sintheta = nsin(theta + 2 alpha)
prove that tan(theta + alpha) = (1+n)/(1-n) *tan theta
my incomplete soln -
sin theta/ sin(theta+ 2 alpha) = n
I guess you've made some mistake here...
I t... | 4 | [
-0.0966796875,
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0.06884765625,
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-0.07... | 33,442 | 33442 | |
Homotopy of Unitary sphere in a Banach space and finite dimensional spheres
up vote 1 down vote favorite
1
Let $E$ be a Banach space, $X_1, X_2, \ldots $ be a numerable collection of finite dimensional subspaces $X_1\subset X_2$ with dimension tending to infinity, denote by $S^n$ the unit sphere in $X_n$
. Deno... | 5 | [
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0.00836181640625,
... | 33,443 | 33443 | |
Orthogonality Preserving Linear Map.
November 27th 2012, 09:28 AM
RaisinBread
Orthogonality Preserving Linear Map.
I'm having trouble with the following problem:
Let $V$ be a real vector space equipped with an inner product $\langle\cdot,\cdot\rangle$ (and thus with a norm induced by that inner product).
... | 4 | [
-0.0849609375,
0.000701904296875,
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0.08154296875,
0.0203857421875,
-0.0... | 33,444 | 33444 | |
Hi, new here! Was wondering if I am right, I would
June 26th 2008, 01:56 PM
peanutbutter
Hi, new here! Was wondering if I am right, I would
I would rather try things out as far as they can go, and then ask for help!
I am having problems on a statistics problem, that goes like this:
Suppose that a rando... | 4 | [
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0.119140625,
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0.125,
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-0.01470947265625,
0.02001953125,
0.0004787445... | 33,445 | 33445 | |
2d random walk on Z^2
February 5th 2010, 02:10 PM #1
Newbie
Joined
Mar 2009
Posts
17
2d random walk on Z^2
Hi,
I'm stuck with this question about 2d random walks on Z^2
Let S_n = (X_n, Y_n) be a simple symmetric random walk in Z^2, starting from (0, 0), and set T = inf {n >= 0: max{|X_n|, |Y_n|}... | 5 | [
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0.028076171875,
0.053955078125,
-0.05273... | 33,446 | 33446 | |
Analytic Goemetry
Posted by AJ on Wednesday, March 23, 2011 at 7:12am.
Find the equation of the parabola with axis parallel to the x-axis and passing through (3/2,1),(5,0) and (-1,2).
β’ Analytic Goemetry - Reiny, Wednesday, March 23, 2011 at 9:16am
In this case we don't know anything about the vertex, so we ha... | 4 | [
-0.07373046875,
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0.0380859375,
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0.07470703125,
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0.029541015625,
-0.007110595703125,
0.030517578125,
-0.06640625,
-0... | 33,447 | 33447 | |
the encyclopedic entry of Rational roots theorem
In
algebra
, the
rational root theorem
(or 'rational root test' to find the zeros) states a constraint on solutions (or
roots
) to the
polynomial
equation
$a_nx^n+a_\left\{n-1\right\}x^\left\{n-1\right\}+cdots+a_0 = 0,!$
with integer coefficients.
Let a[0]... | 4 | [
-0.10400390625,
-0.041259765625,
-0.052001953125,
0.06787109375,
-0.0174560546875,
0.05517578125,
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-0.01519775390625,
0.056640625,
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0.07080078125,
-0.023193359375,
-0.000835418701171875,
-0.0244140625,
-0.0... | 33,448 | 33448 | |
Deriving list scans
Iβve been playing with deriving efficient parallel, imperative implementations of "prefix sum" or more generally "left scan". Following posts will explore the parallel & imperative derivations, but
as a warm-up, Iβll tackle the functional & sequential case here.
Folds
Youβre probably familiar with... | 4 | [
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0.0206298828125,
0.018798828125,
0.0172119140625,
0.0024261474609375,
-0.052978515625,
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0.042724609375,
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0.00262451171875,
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0.031982421875,
0.0400390625,
-0.0252685546875,
0.072265625,
-0.11572265625,
... | 33,449 | 33449 | |
Homework Help
Posted by rajiv n. on Wednesday, May 18, 2011 at 11:02pm.
calculate the area bounded between the parabola y=x2, the straight line y=(x/2)+2, line x=1 and the y-axis.
β’ calculus - Reiny, Thursday, May 19, 2011 at 7:21am
make a sketch to see that in your region the straight line lies above the para... | 5 | [
0.018310546875,
-0.00604248046875,
0.019775390625,
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-0.0128173828125,
-0.048095703125,
0.021728515625,
0.00396... | 33,450 | 33450 | |
Wolfram Demonstrations Project
Electromagnetic Waves in a Parallel-Plate Waveguide
Electromagnetic waves can propagate through a parallel-plate waveguide under appropriate conditions. This Demonstration determines the corresponding fields, energy distributions, and energy
transport. The parallel plates support transve... | 4 | [
0.021240234375,
0.01129150390625,
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-0.060302734375,
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0.09619140625,
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-0.04296875,
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-0.015869140625,
... | 33,451 | 33451 | |
Show that arccos(...) = ...
June 11th 2009, 01:55 AM #1
Show that arccos(...) = ...
Hi
Another "show that" problem involving inverse trig. functions.
Show that $arccos(\frac{1}{\sqrt{1+x^{2}}}) = arctan(|x|)$
Since $| \frac{1}{\sqrt{1+x^{2}}} | \leq 1$ , I assume I can take $cos(arccos(\frac{1}{\sq... | 5 | [
0.049072265625,
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0.0595703125,
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0.0908203125,
-0.0654296875... | 33,452 | 33452 | |
Hexagon Shape
[DEL::DEL]
About the Hexagon Shape, from recognition to construction.
... | 4 | [
0.025146484375,
0.0279541015625,
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-0.0023193359375,
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0.00823974609375,
0.04296875,
-0.08154296875,
-0.078125,
-0.04272460... | 33,453 | 33453 | |
PROGRAMMING HACKS
Beeler, M., Gosper, R.W., and Schroeppel, R. HAKMEM. MIT AI Memo 239, Feb. 29, 1972. Retyped and converted to html ('Web browser format) by Henry Baker, April, 1995.
PROGRAMMING HACKS
Previous Up Next
WARNING: Numbers in this section are octal (and occasionally binary) unless followed by a decimal ... | 4 | [
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Newton's method
November 18th 2007, 10:13 PM #1
Junior Member
Joined
Apr 2007
From
USA
Posts
41
Newton's method
I dont know what they want me to do!! and I dunno how to do it!
To solve the equation
by Newton's Method we start with a good initial guess
until we get an approximation
... | 5 | [
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... | 33,455 | 33455 | |
I need help understanding this example in my book.
July 20th 2013, 06:15 PM #1
Newbie
Joined
Jun 2013
From
Toronto
Posts
15
I don't what they are trying to say. PLEASe help me
If A falls on Quadrant II and B falls in Quadrant III, then what the sign of cos(A+B).
its is greater than 0 or less... | 4 | [
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Draining a conical tank
December 14th 2012, 02:59 AM #1
Newbie
Joined
Dec 2012
From
Denmark
Posts
1
Draining a conical tank
I am working on a paper at the moment which has to do with draining tanks. I have already set up a differential equation which explains the drain from a tank where the cross-sec... | 5 | [
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... | 33,457 | 33457 | |
Journal of the Brazilian Society of Mechanical Sciences and Engineering
Serviços Personalizados
Artigo
Indicadores
Links relacionados
Compartilhar
versΓ£oΒ impressaΒ ISSN 1678-5878
J. Braz. Soc. Mech. Sci. & Eng.Β v.28Β n.2Β Rio de JaneiroΒ abr./jun.Β 2006
http://dx.doi.org/10.1590/S1678-58782006000200005Β
... | 4 | [
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simplifying equation with radicals
April 25th 2012, 09:21 PM #1
Newbie
Joined
Apr 2012
From
United States
Posts
4
simplifying equation with radicals
Hello Im working on some problems and have come into a problem understanding how something is simplified.
The problem I am working on starts with -(... | 4 | [
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Distribution of a + X
February 5th 2010, 03:59 PM #1
Distribution of a + X
Suppose that Ξ is a random variable that follows a gamma distribution with parameters Ξ» and Ξ±, where Ξ± is an integer, and suppose that, conditional on Ξ, Ξ§ follows a poisson distribution with
parameter Ξ. Find the unconditional distrib... | 5 | [
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11th grade specialist math
Posted by dan on Wednesday, January 12, 2011 at 4:39am.
I'm not sure whether this question is too difficult, or perhaps it is lacking a diagram, but I have been getting no response to this question, something I had not been not expecting.
To any maths experts out there, I would absolutely L... | 4 | [
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Finding X and Y on a rectangle (diagnals) ???
January 28th 2010, 03:13 PM #1
Newbie
Joined
Jan 2010
Posts
2
Hey yal, I'm doin some geometry homework ,here and i have a question on one of the problems.. here's a link to the pic.
Image - TinyPic - Free Image Hosting, Photo Sharing & Video Hosting
... | 4 | [
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How many tens?
October 21st 2005, 11:19 PM
phgao
How many tens?
Can someone please help with this question please? Thanks!
3^667 * 2^2 = X * 10^Y
I need to find X and Y. I.e. convert to scientific notation. Thanks!
And this one too.
2^10^6 = X * 10^Y
Find X & Y.
October 22nd 2005, 12:31... | 4 | [
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help with integral
In the solution, it is amazingly simple, but i don't understand why they do what they did.
Hello, scorpion007! In the solution, it is amazingly simple, but i don't understand why they do what they did. We could have tried: . $\int^a_0\cos^{-1}\left(\frac{2x-a}{a}\right)\,dx$ . . but it is
far easier... | 5 | [
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Math(Please help)
Posted by Hannah on Friday, March 4, 2011 at 10:31pm.
Related Rates:
Gas is escaping from a spherical balloon at the rate of 2ft^3/min. How fast is the surface area shrinking (ds/dt) when the radius is 12ft? (A sphere of radius r has volume v=4/3 pi r^3 and surface
area S=4pi r^2.)
Remember that ds... | 5 | [
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Homework Help
Posted by Amy on Friday, October 28, 2011 at 2:11am.
Solve the linear equation. Solve for x and y
y=-3/4x + 1/4
y=3/4x - 3/4
β’ Math - Jai, Friday, October 28, 2011 at 3:21am
add the two equations to get y alone:
y = -3/4x + 1/4
y = 3/4x - 3/4
--------------------------
2y = -2/4... | 4 | [
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Homework Help
Posted by Rock on Thursday, December 8, 2011 at 7:37pm.
Radioactive iodine is used to determine the health of the thyroid gland. It decays according to the equation y=ae -0.0856t where t is in days. Find the half-life of this substance. Round to the
tenths place.
β’ Alg2 - Steve, Friday, December 9, 20... | 4 | [
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Homework Help
Posted by Jorge on Tuesday, February 8, 2011 at 6:14pm.
The altitude upon the hypotenuse of a right triangle divides the hypotnuse into segments of 3 and 12. find the length of the altitude
β’ geometry - Reiny, Tuesday, February 8, 2011 at 6:32pm
let that altitude be x
Can you see how that al... | 4 | [
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Math Help
April 28th 2010, 01:01 PM #1
Junior Member
Joined
Feb 2008
From
Istanbul
Posts
51
Hello everyone while I was studying integrals i came across with a question I could not think how to act. Here it is $\int(\cos(\ln(x))dx$ How to solve this step by step? Thanks
Substitute $x = e^u$ and t... | 5 | [
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Math 310 Math for Teachers
Posted by Stephanie on Wednesday, December 5, 2012 at 5:08pm.
At the same time but different speeds, two trains X and Y left from different stations, A and B, and moved facing each other (to opposite directions). They first met at the point that was 120 miles
from station A. When X and Y rea... | 4 | [
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A simple integral
August 9th 2010, 07:05 AM #1
A simple integral
Hi,
I'd be happy if someone could check my work on the integral $sin^6(x)dx$
$sin^6(x) = (sin^2(x))^3$
$sin^2(x) = \frac{1}{2}(1-cos(2x))$
$\frac{1}{8}\int(1-cos(2x))^3$
let u = cos(2x);
$(1-u)^2\cdot(1-u) = 1-3u+3u^2-... | 5 | [
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Smallest Possible y Value
If y = [(4 - x)]^2, what is the smallest possible y value?
Last edited by Mush; December 21st 2008 at 12:52 PM.
What you did was solve for the x-intercepts. This is where y=0. This is the smallest value for y only when the parabola is tangent to the x-axis, as in this case. The vertex is on ... | 4 | [
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Homework Help/Verify solution
December 9th 2007, 04:16 PM #1
Newbie
Joined
Dec 2007
Posts
2
Homework Help/Verify solution
Would very much appreciate verification of solution to partial fraction decomposition question.
Find the partial fraction decomposition of x^4/(x-1)^3
Since degree of numera... | 4 | [
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the encyclopedic entry of electromagnetic field
The
electromagnetic field
is a physical
field
produced by
electrically charged objects
. It affects the behavior of charged objects in the vicinity of the field.
The electromagnetic field extends indefinitely throughout space and describes the electromagnetic inter... | 4 | [
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manipulating a function
May 2nd 2008, 03:28 PM
stones44
manipulating a function
f(x) = x^2 + x +1. Find the sum of all values of z for which f(3z) = 7
Is it 3x^2 +3x + 1 = 7 so z = 1 and -2....so the answer is -1
also, in general say you have f(x) ....how does the graph change (domain range, intercepts... | 4 | [
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Mixing a uniform distribution with a normal distribution
July 8th 2011, 06:49 AM
solvj
Mixing a uniform distribution with a normal distribution
Here is my Problem.
Let X~Uniform(0,2) and Y~Normal(0,1) be independent random variables. Let
Z ={1 if X > Y
{2 if X <Y
Find E[Z] and V ar[Z]. You may... | 4 | [
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[SOLVED] easy limits area under the function
November 24th 2009, 08:03 PM #1
The value of the limit lim n--> inf E (n above and i=1 below) pi/8n tan(ipi/24n) is equal to the area below the graph of a function f(x) on an interval [A,B]. Find f, A, and B. (Do not evaluate
the limit.) for f i get tan(x) for a i g... | 5 | [
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A New Accident Analysis Method Based on Complex Network and Cascading Failure
Discrete Dynamics in Nature and Society
VolumeΒ 2013Β (2013), Article IDΒ 437428, 9 pages
http://dx.doi.org/10.1155/2013/437428
Research Article
A New Accident Analysis Method Based on Complex Network and Cascading Failure
State Key Laborator... | 4 | [
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Integrating Factor Problem
September 5th 2011, 04:08 PM #1
Integrating Factor Problem
Find the solution of the initial value problem.
$ty' + (t+1)y = t$ ; $y(ln2) = 1$ ; $t > 0$
$\frac{dy}{dx} + p(x)y = Q(x)$
$y' + \left(1 + \frac{1}{t} \right)y = 1$
$p(t) = 1 + \frac{1}{t}$ ; $Q(t) = 1$
... | 5 | [
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0.0... | 33,479 | 33479 | |
dice?
March 16th 2009, 08:03 PM
katinthehat108
dice?
A 6 sided die is weighted so that it is 3 times more likely to land on the number 1 than 2. All other numbers, 2,3,4,5,6 have an equal chance of being rolled. If the die is thrown twice, what is
the probability that the sum of the numbers will be 2?
March... | 4 | [
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Homework Help
Posted by mark on Saturday, September 20, 2008 at 8:47pm.
the path of a particle in the xy-plane is vector r = (cos2t, sint) for t for all [-pi/2, pi] where t represents time. Sketch the path. Is it a smooth curve?
How do i sketch the path? do i just plug in random points between [-pi/2, pi]? how would ... | 4 | [
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351W .30 over bore = ?
Mstng2 Founding Member
Joined:
Jun 27, 2002
Messages:
Likes Received:
4
Trophy Points:
Hey here one for the engineers out there and High perfomance engine guys/gals! I am going to put the displacement of the engine on the side of my cowl scoop when it's finished. It's a 351W bore... | 4 | [
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Ulam-Hyers Stability Results for Fixed Point Problems via
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 825293, 6 pages
http://dx.doi.org/10.1155/2013/825293
Research Article
Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
^1Department of Mathematics... | 5 | [
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Limit Problem
http://rogercortesi.com/eqn/tempimagedir/eqn2028.png is the answer really infinite? or is it 0? and why?
Note, (4-t^2)/(sqrt(4-t^2))=1/sqrt(4-t^2) And when you approach t-->2 you have by substitution 1/0 which is an infinite limit.
ok .... but its indeterminate right? why cant i use lhopitals?
Hello, ^... | 5 | [
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I am hope that my question belongs here.
Let x be a rational number in (113/191 ,184/311). Find x=a/b when is known that a<400. { 113/191 < a/b < 184/311 }
I have no elegant mathematical answer to your question. But an answer can relatively easily be found with the help of a little program: since there are only finite... | 5 | [
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Universal Hashing
Written by Mike James Follow
Monday, 27 June 2011 ... | 4 | [
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Slope,equation etc. Please help
September 22nd 2009, 10:35 PM #1
Junior Member
Joined
Sep 2009
Posts
49
So I got this problem I had to find the midpoint,slope and distance
for (-3,8) And (5,-2)
I got the midpoint as (1,3)
distance is sqr 165
Which is what the teacher got but as for the slo... | 4 | [
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Math Help - Calculus - Derivatives - Technical Tutoring
Technical Tutoring Home Β· Site Index Β· Advanced Books Β· Speed Arithmetic Β· Math Index Β· Algebra Index Β· Calculus Index Β· Trig Index Β· Chemistry Index Β· Gift Shop Β· Harry Potter DVDs, Videos, Books,
Audio CDs and Cassettes Β· Lord of the Rings DVDs, Videos, Books... | 5 | [
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Probability from a Joint Distribution
October 26th 2012, 06:30 PM
tangibleLime
Probability from a Joint Distribution
We are given the following joint distribution:
X
1 2 3 4
1 1/4 0 1/8 1/8
Y 2 1/8 0 1/16 1/16
3 1/16 0 1/32 1/32
4 1/16 0 1/32 1/3... | 4 | [
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Circulation
June 8th 2009, 08:48 AM #1
Super Member
Joined
Jun 2008
Posts
829
Circulation
Determine the circulation of $F(x,y,z) = (z-x)i +(x-y)j + (e^{xyz})k$ around the curve $\alpha$ traveled in a counter-clockwise direction when viewed from the axis OZ, knowing that this curve is
the edge of the ... | 5 | [
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Physics Forums - View Single Post - Are hollow pipes less likely to bend under weight
A little addendum:
I just realized you may have meant that the loading was solely due to the weight of the pipe. If so, consider the expression for the maximum deflection in a beam under a uniform load (you can get
these too if you ... | 5 | [
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0.... | 33,491 | 33491 | |
Evaluate arctan ((sin x -1)/cos x)
First, arctan is an odd function, so rewrite it as -arctan((1-sin(x))/cos(x)). Since it's an arctan, and that's similar to the half-angle formula for tangent, I'd substitute x = pi/2 - y. Then (1-sin
(x))/cos(x) = (1-cos(y))/sin(y) = tan(y/2) Then arctan(tan(y/2)) = y/2 + k(pi) for th... | 5 | [
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help with homework
March 9th 2006, 02:05 AM #1
Newbie
Joined
Mar 2006
Posts
9
help with homework
I'm trying to finish a math project that's due in a few hours. I really stuck on a key aspect of it. It is called "Bowl Lake". Its called that because it geometrically can be viewed as having a
bottom con... | 5 | [
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find the zeros
Suppose you know that 1/3 and -2 are zeros of 3x^4-x^3-21x^2-11x+6 Find all the zeros!
Hint: 1/3 and -2 are zero of (3x-1)(x+2). You need the Remainder Theorem. How's your Synthetic Division? Long division?
It's time to practice. Every time you find a zero, use it to deflate the polynomial to one degre... | 4 | [
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... | 33,494 | 33494 | |
function differentiable in no point
May 25th 2013, 12:13 PM #1
Junior Member
Joined
May 2013
From
Czech Republic
Posts
28
Thanks
1
function differentiable in no point
Hello,
I would like to ask the following question:
How can I prove that the continuous function given as
$f(x)=\sum_{... | 4 | [
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Homework Help
Posted by Chris on Sunday, January 20, 2013 at 8:54pm.
What would be the concentration of dinitrogen pentoxide after 6.00 X 10(2) seconds and how long would it take for the concentration of N2O2 to decrease to 10.0% of its initial value in the following
equation...
N2O5 to NO2 and O2
initial concentrat... | 5 | [
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... | 33,496 | 33496 | |
Laplace distribution
November 8th 2008, 08:38 AM #1
Member
Joined
Jul 2005
Posts
187
Laplace distribution
I have equation that:
$f(x)=(\lambda/2)exp(-\lambda|x-a|)$
I need to find $F(x)$.
I think the answer is $F(x)=(\lambda/2)exp(-\lambda|x-a|)$
but math book shows me that answer:
$F... | 5 | [
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Bijection between two sets
January 2nd 2013, 09:42 AM
MachinePL1993
Bijection between two sets
Hello,
I'd be extremely grateful if anyone could give me a hint on how to create an injective function $f: \mathbb{N}^\mathbb{N} \to \{0,1\}^\mathbb{N}$.
Thanks in advance.
January 2nd 2013, 09:51 AM
emakar... | 5 | [
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About the ring used in the definition of drinfeld modules. Why is that ring a dedekind domain?
up vote 2 down vote favorite
Let $K/F$ be a function field with exact field of constants $F$ ($F$ is a finite field of characteristic $p$ prime). A prime in $K$ is a discrete valuation in $K$ containing $F$. It has a unique
... | 4 | [
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