content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Double Integral question
March 6th 2011, 09:00 AM
Xavier20
Double Integral question
Hey everyone, I'm having some trouble in my Multivariable Calculus class. I hope someone can help! I'm sorry that I don't know how to properly make the integral look pretty! Thanks in advance.
$Integral(Integral(sin(x^2))dx)... | 5 | [
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Patent US5606695 - Method of scheduling successive tasks subject only to timing constraints
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention concerns a method of scheduling successive tasks by means of a computer by determining a task execution order and an execution start time for each task, no tw... | 4 | [
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Calibration Belt for Quality-of-Care Assessment Based on Dichotomous Outcomes
Abstract
Prognostic models applied in medicine must be validated on independent samples, before their use can be recommended. The assessment of calibration, i.e., the model's ability to provide reliable
predictions, is crucial in external va... | 4 | [
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dimention of R+
What is the dimension of R+ as a vector space over R? over Q? Thank you in advance
Jojo, The dimension of $\mathbb{R}$ over $\mathbb{Q}$ is $|\mathbb{R}|=\mathfrak{c}$. Indeed, note that $\dim_\mathbb{Q}\mathbb{R}$ is necessarily greater than $|\mathbb{N}|=\aleph_0$ else it would
be isomorphic to $\mat... | 5 | [
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Help with proof
August 2nd 2010, 02:01 AM #1
Junior Member
Joined
Aug 2010
Posts
32
Help with proof
Prove that given a real number x, there exist unique numbers n and ε such that x=n+ε, where n is an integer, and 0≤ε<1.
I started like this:
x is either an integer or a noninteger. If x=n+ε, then... | 4 | [
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A series for Zeta^2
March 19th 2010, 07:25 PM #1
Newbie
Joined
Mar 2010
Posts
9
A series for Zeta^2
I have "derived" (I am probably not the 1st one to do so) the following equation for the norm of Zeta^2:
$\| \zeta \left( a, ib \right) \| ^2=\zeta \left( 2a, 0 \right) \left( 1 + \sum^{\infty}_{j=2}... | 4 | [
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PDGGQRF
Section: LAPACK routine (version 1.5) (l) Updated: 12 May 1997 Local index Up
NAME
PDGGQRF - compute a generalized QR factorization of an N-by-M matrix sub( A ) = A(IA:IA+N-1,JA:JA+M-1) and an N-by-P matrix sub( B ) = B(IB:IB+N-1,JB:JB+P-1)
SYNOPSIS
SUBROUTINE PDGGQRF(
N, M, P, A, IA, JA, DESCA, TAUA, ... | 4 | [
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From field equation to equation of motion
Madster
Hi, thanks that helped me but could you please explain what makes the metric an analogy to a potential. I mean the metric just implies the distance (dot prodict) of two line elements.
The field equations with zero CC simply say:
(second derivatives of the metric) =... | 4 | [
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4x4 matrix determinant
ultima9999
.....Because it would be: 2|(3x3 matrix)| - 3|(3x3 matrix| + 4|(3x3 matrix)| - 5|(3x3 matrix)| and then I have to find the determinants of each 3x3 matrix...
You should know that you can take the determinant along any column as well as any row, so the obvious choice here is to thak... | 5 | [
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Math Help
Prove that: $\<br /> \frac{1}{2}.\frac{3}{4}...\frac{{2n - 1}}{{2n}} < \frac{1}{{\sqrt {2n + 1} }},n > 1<br /> \<br />$
$\begin{array}{rcl}1\cdot3=(2-1)(2+1)=2^2-1&<&2^2\\<br /> 3\cdot5=(4-1)(4+1)=4^2-1&<&4^2\\<br /> 5\cdot7=(6-1)(6+1)=6^2-1&<&6^2\\<br /> {}&\vdots&{}\\<br /> (2n-3)(2n-1)&<&(2n-2)^2\\<br />... | 4 | [
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A integral problem hard to solve
March 30th 2009, 06:46 AM
mymaydayya
A integral problem hard to solve
I am stuck for weeks...
integral from 0 to infinity 1/(1+x^(2n)) dx
someone told me tips... but I still can't solve
tips:x^n=tan
Could anyone teach me how to solve it step by step?
March 30... | 5 | [
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Hamiltonian problem: observables
1. The problem statement, all variables and given/known data
A particle that moves in 3 dimensions has that Hamiltonian
[tex] H=p^2/2m+\alpha*(x^2+y^2+z^2)+\gamma*z[/tex] where [tex] \alpha[/tex] and [tex]\gamma[/tex] are real nonzero constant numbers.
a) For each of the following o... | 4 | [
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search results
Expand all Collapse all Results 1 - 1 of 1
1. CMB 2005 (vol 48 pp. 133)
Estimates of Henstock-Kurzweil Poisson Integrals
If $f$ is a real-valued function on $[-\pi,\pi]$ that is Henstock-Kurzweil integrable, let $u_r(\theta)$ be its Poisson integral. It is shown that $\|u_r\|_p=o(1/(1-r))$ as ... | 4 | [
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Finding energy via integration
clm222
Hello, I havnt done physics in quite a while and I just want to ask a question about basic energy that i know how to deal with in algebraic terms, but not through means of calculus. I also don't
really get the theory of the equation [itex]E=FD[/itex], where E=energy, F=force, an... | 4 | [
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... | 22,413 | 22413 | |
Sequence of real numbers | Proof of convergence
Since you seem to have spent quite some time on the problem i will try to give you some hints, i hope i don't get another warning from pf moderators for offering too much help(solving >90% of the
problem for the op) :(
This might not be the nicest proof in the world, but... | 4 | [
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[Trig Proof] Does this answer key make sense?
June 29th 2013, 03:35 PM #1
Junior Member
Joined
Jan 2013
From
Montreal
Posts
65
Thanks
1
[Trig Proof] Does this answer key make sense?
Hi,
Does the answer key section here for number 2 makes sense? It seems like they went from cos^2 - sin^2 to c... | 4 | [
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Inner Product Space and Linear Transformation
November 1st 2008, 03:15 PM #1
Newbie
Joined
Sep 2008
Posts
23
Inner Product Space and Linear Transformation
Let V be an inner product space, and let w be a fixed vector in V.
Let L:V -> R be defined by L(v) = (v,w) for v in V. Show that L is a linear tra... | 4 | [
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Math Help
March 24th 2010, 03:30 PM #1
MLE help
Suppose that $Y_{1},...Y_{n}$ constitute a random sample from the density function
$f(y|\theta)=e^{-(y-\theta)}$ for $y>\theta$ and zero elsewhere, where $\theta$ is an unknown, positive constant.
Q: Find an estimator for $\hat{\theta}$ for $\theta$ by th... | 5 | [
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An Autonomous Packet Transmission Strategy for Opportunistic Wireless Sensor Networks
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 541258, 14 pages
http://dx.doi.org/10.1155/2012/541258
Research Article
An Autonomous Packet Transmission Strategy for Opportunistic Wireless Sensor... | 4 | [
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Patent US7953168 - Receiver, transmission method and transmission system
RELATED APPLICATIONS
This application is the U.S. National Phase under 35 U.S.C. §371 of International Application No. PCT/JP2006/318431, filed on Sep. 15, 2006, which in turn claims the benefit of Japanese Application
No. 2005-271081, filed on S... | 4 | [
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2nd fundamental theorem of calculus
in most books it says that if f is continuous on [a,b] and G(x) is the integral of f from a to x, then G is differentiable on [a,b] and G'(x) = f(x) for every x in [a,b].
The more general statement is that if f is a Riemann integrable function on [a,b] and G(x) again is the injtegra... | 4 | [
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vector equation of line through point perpendicular to plane
June 7th 2008, 08:34 PM #1
Member
Joined
Jun 2008
Posts
175
vector equation of line through point perpendicular to plane
Hi,
How do I find the vector equation of this.
given the line travels through point (1,0,6) and perpendicular to t... | 4 | [
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Graphing
June 5th 2009, 11:46 AM
lisa1984wilson
Graphing
I need to graph the function s(x)=200x+1500/0.02x^2+5
I cant figure out how to graph this function...I'm used to functions without (/) in it!
June 5th 2009, 12:00 PM
Amer
find critical point f'(x)=0 so you can find the increasing and decreasing... | 4 | [
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inverse functions
When f(x)=x^7+2x^3+x-1 I have found f^-1(3)=1 But I need to prove this. Can anyone help?
I need to find f^-1, or the inverse of f. Not sure how to do this?
By definition of $f^{-1}$ , $f^{-1}(\{y\})=\{x\in\mathbb{R}:f(x)=y\}$ . As $f(1)=3$ we can conclude that $1\in f^{-1}(\{3\})$ . If we prove that... | 5 | [
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homogenous differencial equation
write out a homogeneous linear D.E for which 5e^(2x)+2e^(-x)-3xe^(-x)+cos 3x is a solution
y'' - 2y' + y = 0 gives y = Ae^(-x) + Bxe^(-x) Let y = 5e^(2x) y' = 10e^(2x) y'' = 20e^(2x) So y'' - 2y' + y = 20e^(2x) - 20e^(2x) + 5e^(2x) = 5e^(2x) Let y = cos 3x y' = -3 sin 3x y'' = -9 cos 3... | 5 | [
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Need help finding an angle in degrees
January 19th 2007, 07:10 AM
thedoge
Need help finding an angle in degrees
A map suggests that Atlanta is 731 mi in a direction of 4.90° north of east from Dallas. The same map shows that Chicago is 562 miles in a direction of 21.0° west of north from Atlanta. Modeling
th... | 4 | [
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Energy-Efficiency of Cooperative Communication with Guaranteed E2E Reliability in WSNs
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 532826, 11 pages
http://dx.doi.org/10.1155/2013/532826
Research Article
Energy-Efficiency of Cooperative Communication with Guaranteed E2E Reliabil... | 4 | [
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Maximum and minimum functions
June 23rd 2008, 03:23 PM #1
Super Member
Joined
Jun 2008
Posts
829
Maximum and minimum functions
To determine the role given to:
a) the range of growth and decrease
b) points of extreme local
c) points of inflection
d) intervals as the concavity
e) outlin... | 4 | [
0.01104736328125,
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0.052001953125,
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0.07666015625,
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0.09521484375,
0.051513671875,
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0.0279541015625,
0.061767578125... | 22,427 | 22427 | |
Perform Indicated Operations and Simplify
February 17th 2009, 04:34 AM #1
Newbie
Joined
Feb 2009
Posts
3
Perform Indicated Operations and Simplify
(x cubed + 1 / X-1) / (X squared - X + 1/ X squared - 1)
Hopefully this is easy enough to read!?!?
Thank You
I'm guessing :
$\dfrac{\dfrac{... | 4 | [
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0.078125,
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0.043212890625,
-0.0... | 22,428 | 22428 | |
Compute Limit Using Limit Properties
July 16th 2013, 08:12 PM
divinelogos
Compute Limit Using Limit Properties
Let {a[n]} be a convergent sequence with limit L ∈ ℝ. Use properties of limits to compute $\lim_{n \rightarrow \infty } \frac{ {a}^2_{n} -1 }{{a}^2_{n} +1}}$
Attempt:
1. "Distribute" limit to ... | 4 | [
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-0.006866455078125,
... | 22,429 | 22429 | |
Function Operations and Compositions
March 31st 2009, 04:05 PM #1
Newbie
Joined
Oct 2008
Posts
23
Function Operations and Compositions
Please help me to simplify this expression. . .
The original equation is
11^(2/5)
11^(4/5)
I actually worked it to the point I got:
1
121^(... | 4 | [
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0.0157470703125,
0.03759765625,
0.0050048828125,
0.07421875,
0.0022888183593... | 22,430 | 22430 | |
Screw and mating thread strength equations
I am designing a mating male and female threaded interface, where the nut is much weaker than the male thread. I need to be able to calculate a few things:
A. The maximum force (as preload) required to reach the yield point of the nut material.
B. The torque required to achi... | 5 | [
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0.08251953125,
-0.0173339... | 22,431 | 22431 | |
perpendicular
is y = 4-x Perpendicular to y = 6+x y=-1x+4 recip y=1x+6 True Or False?
A little extra on #1: Put both equations into slope-intercept form, so they look like y = mx + b. Remember than in slope-intercept form, "m" represents the slope of the line. So, your two equations
become: y = -x + 4 and y = x + 6. T... | 4 | [
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0.0234375,
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0.1240234375,
-0.06591796875,
0.0267333984375... | 22,432 | 22432 | |
Econometrics Help
February 16th 2009, 12:02 PM #1
Newbie
Joined
Apr 2008
Posts
9
Econometrics Help
I've been working on a Econometrics homework problem, and I've gotten stuck. I've completed all of it except for calculating the eigen values. The question is:
Let X be a (T x k) matrix whose columns a... | 4 | [
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-0.00036430... | 22,433 | 22433 | |
Please help someone to solve this problem
February 25th 2008, 01:02 AM
sitara
Please help someone to solve this problem
Please Send me its solution if some one have..........
Ten oil tens are taken at random from an automatic filling machine the mean weight of the tins is 15.8 kg and the standard deviation... | 5 | [
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... | 22,434 | 22434 | |
Is 1/(x^2 - 1) Lebesgue integrable on (0,1)?
April 24th 2009, 09:43 AM
Amanda1990
Is 1/(x^2 - 1) Lebesgue integrable on (0,1)?
Is $1/(x^2 - 1)$ Lebesgue integrable over (0,1)? What about over $(1, \infty)$? What kind of comparisons should I be trying?
April 24th 2009, 01:52 PM
redsoxfan325
I thought that ... | 5 | [
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-0.0... | 22,435 | 22435 | |
logarithm function
July 14th 2009, 12:19 PM #1
Newbie
Joined
Jul 2009
Posts
9
logarithm function
Let n be a positive integer greater than 2.
a)Find the greatest integer k for which
1/2 + 1/3 + ... + 1/k < ln(n)
b)Find the least integer k for which
ln(n) < 1 + 1/2 + 1/3 + ... + 1/k
... | 5 | [
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0.0123291015625,
-0.0020904541015625... | 22,436 | 22436 | |
Combinatorics
January 22nd 2011, 02:46 PM #1
Member
Joined
Aug 2008
Posts
225
Combinatorics
Suppose you want to choose a (2k+1)-element subset of the n-element set {1,2,...,n}. you decide to do this by choosing first the middle element, then the elements to its left, then the k elements
to its right.... | 5 | [
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0.056396484... | 22,437 | 22437 | |
Patent US6480119 - Surveying a subterranean borehole using accelerometers
FIELD OF THE INVENTION
The present invention relates to surveys in a subterranean borehole for determining the spatial co-ordinates of its path. More particularly, the present invention relates to determining the spatial
coordinates and hence th... | 4 | [
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0.03... | 22,438 | 22438 | |
Help with vectors...
December 7th 2008, 08:02 AM
struck
Help with vectors...
I have tried solving this again and again but I get wrong answer. (Headbang)
Points A and B have coordinates (2,7) and (-3,-3) respectively. Use a vector method to find the coordinates of C and D, where
(a) C is the point such... | 4 | [
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0.03759765625,
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-... | 22,439 | 22439 | |
Equation of a Plane Problem Help
June 9th 2008, 07:53 AM #1
Problem:
Find the equation of the plane containing the point $A(5, -3, 6)$ that is parallel to the lines $\frac {x-3}{1}$ = $\frac {y-3}{2}$ = $\frac {z+2}{-3}$ and $\frac {x-8}{2}$ = $\frac {y-9}{1}$, $Z
=2$.
Answer: $x-2y-z-5=0$
Comme... | 4 | [
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0.0078125,
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0.0498046875,
-0.10888671875,
-0.0717773437... | 22,440 | 22440 | |
arithmetic series or sequences...
October 31st 2008, 07:47 AM #1
Junior Member
Joined
Aug 2008
From
England
Posts
40
i need help with two questions...
1. find the suma of all the intergers between 1 and 200 that are not multiples of 7.
and i have just realised that i have no idea how to do ... | 4 | [
-0.1005859375,
0.006011962890625,
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0.039794921875,
-0.08349609375,
0.036376953125,
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0.057373046875,
0.01409912109375,
-0.056396484375,
0.006683349609375,
-0.04150390625,
-0.068... | 22,441 | 22441 | |
Independent translational momentum
Thanks for the replies so far. The tau symbol is torque but I made a mistake in the second integral, it should have been with respect to the angle d theta. The units should match now.
I also forget to include the brackets to show that this is the z component of tau (i.e. the magnitu... | 4 | [
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0.0... | 22,442 | 22442 | |
Patent US7583059 - Apparatus and method for estimating state of charge of battery using neural network
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to an apparatus and a method for estimating a state of charge (SOC) of a battery, and more particularly to an apparatus a... | 4 | [
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0.007720947265625,
0.015502929687... | 22,443 | 22443 | |
Integration
April 7th 2011, 06:14 AM #1
Senior Member
Joined
Apr 2008
From
Vermont
Posts
318
Integration
1.Let f be integrable on [a; b] for every b > a; where a is fixed. Define
integralf(x)dx(bonds on integral(a,infinity) = limb-->infinity(integralf(x)dx)(bounds a,b);
provided the limit e... | 4 | [
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0.01385498046875,
-0.02233886... | 22,444 | 22444 | |
Help with an integral
March 10th 2010, 07:12 PM #1
Help with an integral
$<br /> \int sin^2(x) cos^3(x) dx<br /> <br />$
My answer came out to be?
$<br /> <br /> sin^5x/5 - sin^3x/3<br />$
correct!
your answer seems to be correct. there will be 2 sins one with power 4 and the other with power 2 and ... | 5 | [
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0.00494384765625,
0.006988525390625... | 22,445 | 22445 | |
Find the equilibrium for a logistic recurrence relation.
September 24th 2011, 06:39 AM #7
Member
September 24th 2011, 06:24 AM #6
September 24th 2011, 05:01 AM #5
Member
September 24th 2011, 04:20 AM #4
September 24th 2011, 03:57 AM #3
Member
September 24th 2011, 02:59 AM #2
September 24th 2011, 01:18 AM #1
Memb... | 4 | [
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0.040283203125,
-0.0250244140625,
-0.0185546875,
0... | 22,446 | 22446 | |
Patent US20020146180 - Image processing method and image processing device
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention The present invention relates to a technique which enables an operation amount or a circuit scale to be reduced when processing of enlarging or reducing a digital
image is carried out... | 4 | [
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... | 22,447 | 22447 | |
Another question about Adjoints
December 5th 2007, 02:44 PM #1
Newbie
Joined
Dec 2007
Posts
5
Another question about Adjoints
Let T be a linear operator on a finite-dimensional inner product space V. Prove the following results.
(a) N(T*) = N(T). Deduce that rank(T*T) = rank(T)
(b) rank(T) = rank... | 4 | [
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Wolfram Demonstrations Project
Quantum Mechanics of a Bouncing Ball
The Schrödinger equation can be written , where is the mass of the ball (idealized as a point mass), is the acceleration of gravity, and is the vertical height (with ground level taken as ). For
perfectly elastic collisions, the potential energy at ca... | 4 | [
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-0.002212524414... | 22,449 | 22449 | |
Lebesgue Differentiation Theorem
July 30th 2013, 05:35 AM #1
Newbie
Joined
Aug 2012
From
UK
Posts
15
The Lebesgue Differentiation Theorem states:
If $f: \mathbf{R}^{n} \rightarrow C$ is a summable function then for almost every $x \in \mathbf{R}^{n}$ the following limit converges to $0$:
$li... | 5 | [
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0.02294921875,
-0.0427... | 22,450 | 22450 | |
conic sections, parabola
May 27th 2008, 02:56 PM #1
Newbie
Joined
May 2008
Posts
21
conic sections, parabola
What if the directrix is not parallel to an axis? Suppose it is y=x+2, and let the focus be ((4,0)
How do I derive the equation of the parabola? The distance from the parabola is perpendicular... | 5 | [
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... | 22,451 | 22451 | |
A Nonparametric Operational Risk Modeling Approach Based on Cornish-Fisher Expansion
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 839731, 8 pages
http://dx.doi.org/10.1155/2014/839731
Research Article
A Nonparametric Operational Risk Modeling Approach Based on Cornish-Fisher Expansion
^1Ins... | 4 | [
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-0.028076171875... | 22,452 | 22452 | |
Brevet US7295943 - Geomagnetic sensor for calibrating azimuth by compensating for an effect of tilting and method thereof
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims priority under 35 U.S.C. § 119 from Korean Patent Application No. 10-2003-0099709, filed on Dec. 30, 2003, the entire content of whic... | 4 | [
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Brevet US8234116 - Calculating cost measures between HMM acoustic models
BACKGROUND
The discussion below is merely provided for general background information and is not intended to be used as an aid in determining the scope of the claimed subject matter.
In speech processing such as but not limited to speech recogni... | 4 | [
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0.042236328125,
0.02441406... | 22,454 | 22454 | |
Find the equation of an ellipse
March 18th 2008, 04:07 PM
Socrates
Find the equation of an ellipse
Find the equation of the ellipse with center (-3,-2), a focus at (-3,1), and a vertex at (-3,3).
What do I do first?
March 18th 2008, 07:44 PM
topher0805
$\frac{(x-h)^{2}}{b^{2}} + \frac{(y-k)^{2}}{a^{2... | 4 | [
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0.12890625,
-0.07763671875,
-0.0673828... | 22,455 | 22455 | |
polar equation
November 14th 2009, 02:13 PM
calcbeg
polar equation
Hi
Show that the polar equation r= a cos x + b sin x where ab not equal 0 represents a circle and find its center and radius
I really have no idea where to start - any ideas at all??
Thanks
Struggling calculus beginner
Novemb... | 4 | [
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Laplace equation in a square with mixed boundary conditions
samuelandjw
I think you can write the y-component solution as [tex]\cosh(k_n(a-y))[/tex]
But mine has the advantage that [itex]Y(0) = 1[/itex] (although I could write it as [itex]\cosh(k_n(y-a))/\cosh(k_na)[/itex])
samuelandjw
I think my real problem i... | 5 | [
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Physics Forums - View Single Post - Class example: limit of a function using definition
PirateFan308
Another question, is there more than one δ that will prove this?
Say, Given an arbitrary ε>0, take δ=min{2,ε/6}
If x≠2 and |x-2|<δ, then |x-2|<2 and |x-2|<ε/6
|f(x)-L| = |x^2-4| = |(x+2)(x-2)| = |x+2||x-2|
|x-2|<2 =... | 4 | [
0.00732421875,
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Rolling the dice! - A question of probability
July 17th 2010, 11:02 AM #1
Newbie
Joined
Jul 2010
Posts
6
Rolling the dice! - A question of probability
Here is the scenario. There are 25 individuals. These individuals are rolling a 100 sided die to win a prize. If 10 of these individuals are allowed to ad... | 5 | [
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factorisation of a quadratic equation that is a fraction :/
March 21st 2013, 07:48 PM
jewelmaule
factorisation of a quadratic equation that is a fraction :/
Hey guys im stuck on an equation and just cant seem to get the right answer. I know there must be something wrong with my working. Could someone please show... | 4 | [
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A force of (pi + 10j)
May 27th 2007, 10:15 AM #1
Junior Member
Joined
May 2007
Posts
36
i neeed to figure out the distance and the speed of the car so i need 4 and 5 that ,thank you ...thanks in advance for help !
Hello,
to #4:
You have 2 forces which can be described by vectors:
$\over... | 4 | [
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Settling Velocity from the Sludge Volume Index [Q12028]
Settling Velocity from the Sludge Volume Index
This method involves determining settling velocities from SVI values through the use of statistical correlations. Because the SVI test is both easier to perform than the interfacial settling
velocity test and... | 4 | [
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First derivative test, turning points
May 10th 2009, 07:09 AM #1
Junior Member
Joined
May 2009
Posts
27
First derivative test, turning points
I don't understand how the LHS equals the RHS for this:
1 - x^(-2) = (x^2 - 1)/x^2
Then this statement follows which i also don't understand.
"Turni... | 4 | [
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Powerset P(N) uncountable proof
May 12th 2011, 04:29 PM #1
Member
Joined
Oct 2009
Posts
195
Powerset P(N) uncountable proof
Show that the set $P(\mathbb{N})$ is equivalent to $\mathbb{R}$. (From lecture, we know that $P(\mathbb{N})$ is uncountable. The question is how to put this set in a 1-1 corresponde... | 5 | [
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tangent, circle
a line l has equation y=mx and a circle C has equation x^2+y^2-6x-4y+9=0 Given that l is a tangent to C, I have to find the possible values of m. How would i go about doing this Thanks
Hello, lra11! Did you make a sketch? There are a number of approaches to this problem. Here's one that does not requir... | 4 | [
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Patent US6816839 - Demand planning for configure-to-order and building blocks-based market environment
FIELD OF THE INVENTION
This invention relates to a method for forecasting the demand of products with multiple options, to be used for establishing an efficient supply chain management framework by providing an accur... | 4 | [
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Conservation of charge, but not conservation of energy
1. The problem statement, all variables and given/known data
A DC voltage (V) in series with a resistor of value R and in series with a capacitor (C1) at time t=0 a switch closes to put another capacitor (C2) in parallel with C1 and in series with V and R. The
cha... | 4 | [
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0... | 22,467 | 22467 | |
A Characterization of Uniform Matroids
ISRN Algebra
Volume 2011 (2011), Article ID 208478, 4 pages
http://dx.doi.org/10.5402/2011/208478
Research Article
A Characterization of Uniform Matroids
Sciences College, Al Imam Muhammad Ibn Saud Islamic University, P.O. Box 286574, Riyadh 11323, Saudi Arabia
Received 18 Sep... | 5 | [
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PRECISION (X)
Description: Returns the decimal precision in the model representing real numbers with the same kind parameter as the argument.
Class: Inquiry function; Generic
Arguments: X must be of type real or complex. It can be scalar or array valued.
Results: The result is a scalar of type defaul... | 5 | [
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Math Help
1. March 6th 2008, 11:31 AM #1
Prove
If m and n are natural numbers, prove that m^(2*n) is congruent to 1(mod m+1)
2. March 6th 2008, 12:28 PM #2
I'm sure that there is a better way, but I think this works.
We need to show that $(m+1)|(m^{2n}-1)$
rewriting we get...
... | 5 | [
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-0.0093... | 22,470 | 22470 | |
Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 393892, 10 pages
http://dx.doi.org/10.1155/2013/393892
Research Article
Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments
Coll... | 5 | [
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... | 22,471 | 22471 | |
Math Help
February 12th 2008, 12:59 PM #1
Junior Member
Joined
Feb 2008
Posts
49
Volume
What is the volume of the solid generated by revolving the region enclosed by (x-2)^2 + y^2 = 1 about the y-axis?
Hello, chaddy!
What is the volume of the solid generated by revolving the region
enclose... | 5 | [
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... | 22,472 | 22472 | |
Math Help
The integral (from 0 to pi/2) of (costheta)(sintheta) d(theta) Thank you very much.
hi Jhevon, What about this integration....? the integral (from 0 to pi/2) of (cos^2 theta) (sintheta) d(theta) Thank you very much.
hi Jhevon, Thank you very much for your kindness. Actually the question is (8/4^a) times th... | 5 | [
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0.006591796... | 22,473 | 22473 | |
Covariance matrix for two independent variables
August 17th 2011, 11:29 PM
Mathsdog
Covariance matrix for two independent variables
Hi,
Let Y1 and Y2 be independent random variables with Y1 ~ Norm(1, 3) and Y2 ~ Norm(2, 5). If W1 = Y1 + Y2 and W2 = 4Y1 - Y2 what is the joint distribution of W1 and W2?
... | 4 | [
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prodct of principal ideal rings
If $A,B$ are principal ideal rings, then $A \times B$ is also principal ideal ring. Is this right? Why??
yes, if $A$ and $B$ both have $1$ of course. the reason is that every ideal of $A \times B$ is in the form $I \times J$ for some ideal $I$ of $A$ and some ideal $J$ of $B$. maybe i d... | 5 | [
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The Next Century Mathematics; Teachers Guide
CHAPTER 1
LESSON 1.1 UNDEFINED TERMS
I. Mathematical concepts and skills
A. The undefined terms in geometry are point, line and plane.
B. A point has no length, width, or thickness.
C. A line has length, but no width and no thickness
D. A plane has infinite width and... | 4 | [
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jordan form question
October 1st 2011, 03:04 AM
transgalactic
jordan form question
2)A)
find the definative polinomial and the minimal polinomial of
$A=\left(\begin{array}{ccc}3 & 1 & -1\\2 & 2 & 0\\1 & -1 & 3\end{array}\right)$
find the primary decomposition of $R^{3}$ in this case,and write the dia... | 5 | [
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Angular momentum cross product - Please help!
1. The problem statement, all variables and given/known data
A 1.47kg particle moves in the xy plane with a velocity of v = (4.59i - 3.28j)m/s. Determine the magnitude of the particle's angular momentum when its position vector is r = (1.35i + 2.57j)m.
2. Relevant equati... | 4 | [
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Converge or Diverge?
Does the integral $\int_{1}^{\infty} \frac{3 \; dx}{2x \sqrt{4+5x}}$ converge or diverge? If it converges, what is its value?
$\int_{1}^{\infty} \frac{3x}{2x \sqrt{4+5x}}~dx = \frac 32 \lim_{N \to \infty} \int_{1}^{N} \frac 1{\sqrt {4 + 5x}}~dx$ We proceed by substitution: Let $u = 4 + 5x$ $\Right... | 5 | [
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0.05... | 22,479 | 22479 | |
Why is entropy a driving force for a reaction
It would be great if someone could explain why entropy is a driving force for a reaction in simple terms as my online research has come to no avail
...
entropy is the distribution of energy across a system
No, that is not correct. Entropy has nothing to do with energy.
En... | 4 | [
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Patent US5480219 - Control of vehicle side slip using yaw rate
PRIOR ART
The invention relates to a method of controlling vehicle stability by determining a required yaw velocity ω[so11] based on a steady state required yaw rate ω[so110]. A method for determining ω[so110]
is disclosed in DE 42 29 504, to which U.S. Se... | 4 | [
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Liking of apples – more than juiciness
March 18, 2012
By Wingfeet
In a previous blog it was shown using literature data that liking of apples was related to juiciness. However, there were some questions
1. Is the relation linear or slightly curved?
2. The variation in liking around CJuiciness is large. Are more e... | 4 | [
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0.02685546875,
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-0.124... | 22,482 | 22482 | |
Weird Trig Identity
August 24th 2008, 03:00 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Weird Trig Identity
Establish each trig identity.
(1) In|tan(x)| = In|sin(x)| - In|cos(x)|
(2) In|sec(x) + tan(x)| + In|sec(x) - tan(x)| = 0
Also: Is In the symbol for natural log?
... | 4 | [
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Calculus and Baseball
November 16th 2009, 08:17 AM #1
Junior Member
Joined
Nov 2009
Posts
29
Calculus and Baseball
An outfielder fields a baseball 280 ft away from home plate and throws it directly to the cather with an initial velocity of 100 ft/s. Assume that the velocity v(t) of the ball after t secon... | 5 | [
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smooth function
February 18th 2013, 12:39 AM #1
Member
Joined
Sep 2010
From
Germany
Posts
112
Thanks
4
smooth function
show that
$f(x,y,z)=\frac{1}{z^2+1}(x^2-y^2,2xy,2z)$ defines a smooth function $f: S^{2}\to S^{2}$ where $S^{2}=\{p\in \mathbb{R}^3, |p|=1\}$ so I am guessing it is a unit s... | 5 | [
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... | 22,485 | 22485 | |
Differenciate
Pretty straightforward, using the "chain rule". First, of course, we integrate functions, not equations, so what you really mean is "how do I differentiate each side of this equation?" To
differentiate $e^{\frac{y}{x}}$, let $u=\frac{y}{x}= yx^{-1}$. Then $\frac{de^u}{dx}= \frac{de^u}{du}\frac{du}{dx}$. $... | 5 | [
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Differentiation Questions
April 26th 2010, 03:30 AM #1
Super Member
Joined
Dec 2008
Posts
509
Differentiation Questions
Hi
Can someone tell me if my answers are correct for the following questions:
1) Find the slope of the graph $y=2x^3 + 4\sqrt{x}$ at x = 2
$\frac{dy}{dx} = 6x^2 + 2x^{\fra... | 5 | [
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-0.026000976... | 22,487 | 22487 | |
How do I work out a percentage in reverse?
October 4th 2011, 02:26 AM #1
Newbie
Joined
Feb 2011
Posts
7
How do I work out a percentage in reverse?
Hi,
Sorry if this is in the incorrect section, I really couldn't see anywhere else more relevent.
Problem:
In my line of work, prices of my cont... | 4 | [
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Quadrilateral inscribed in a Circle
February 16th 2010, 02:46 PM #1
Member
Joined
Sep 2008
Posts
81
Quadrilateral inscribed in a Circle
Hey everyone,
I have a proof here that reads:
A quadrilateral is inscribed in a circle. Prove that the sum of either pair of opposite angles equals two right a... | 4 | [
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This is making me go 1N54N3!!
February 8th 2006, 06:47 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
This is making me go 1N54N3!!
I already asked the following 2 question but they were not answer thus I shall ask them again.
1)Are the cardinal numbers count... | 5 | [
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Proof by induction (how did I do?)
May 14th 2011, 01:04 PM
ElectroSpecter
Proof by induction (how did I do?)
Hi everyone, I'm new to the forums. I'm also fairly new to proofs, and I still commonly make mistakes, specifically regarding quantification errors and circularity. However, I believe that I have
gott... | 4 | [
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Having trouble with these!
October 27th 2009, 04:48 AM
dannyshox
Having trouble with these!
1. Show that (coshx + sinhx)[to the power of] n = coshnx + sinhnx
2. Determine the integral of tanhxdx
3. Determine the integral of 4dx/(e to the x + e to the -x)squared
(Headbang)
PS How can i use the... | 5 | [
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Double integrals into polar coordinates
May 1st 2008, 12:55 PM #1
Newbie
Joined
Apr 2008
Posts
12
Use the double integral in polar coordinates to find the volume of the solid bounded by the graphs of the given equuations :
z= x^2+y^2+3 , z=0 , x^2+y^2=1
$\iint_Dx^2+y^2+3dA=\int_{0}^{2\pi}\int_{0... | 5 | [
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linear equations with two unknown
March 7th 2009, 07:15 AM #1
Junior Member
Joined
Mar 2009
Posts
25
linear equations with two unknown
Today I encounter a mathematics problem that is designed for junior students, they are in the topic which teaches the way to set up two linear equations with two unknowns... | 4 | [
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Bragg Angles and Thermal Expansion
Problem statement:
The Bragg angles of a certain reflection from copper is 47.75◦ at 20◦C but is 46.60◦ at 1000◦C.
What is the coefficient of linear expansion of copper? (Note: the Bragg angle θ is half of the
measured diffraction (deflection) angle 2θ).
Attempt at solution:
Using $$2d ... | 4 | [
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Two heavily loaded sixteen-wheeler transport trucks are 770
Author Message
TAGS:
Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink] 06 Sep 2013, 02:29
... | 4 | [
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Math Help
October 25th 2009, 09:46 PM #1
Junior Member
Joined
Sep 2009
Posts
56
Deduce Q
Given $\cos\theta=\frac{1}{2}(e^{i\theta}+e^{-i\theta})$ and $\sin\theta=\frac{1}{2i}(e^{i\theta}-e^{-i\theta})$
Deduce $1+2\cos\theta+2\cos2\theta+...+2\cos n\theta=\frac{\sin(n+\frac{1}{2})\theta}{\sin\frac {... | 5 | [
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Graph theory minors question!
1. The problem statement, all variables and given/known data
Prove that, if G is a simple graph with no K5-minor and |V(G)| Does not = 0, then G has a vertex at most 5.
2. Relevant equations
|E(G)| <= 3|V(G)| - 6 for |V(G)| >= 3 (Proved by earlier part of problem set)
Handshake theorem... | 4 | [
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Moments of Inertia, Area, Mass
I-Beam Calculator
Moments and Bending Moments of Inertia, Area, Mass
I-beams, also called "wide flange" or W-beams, are preferred in construction because their I-shape allows them to withstand strong shearing and bending forces. See also Hollow Rectangular Beams. To
calculate loads and... | 4 | [
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... | 22,499 | 22499 |