content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Factorials
April 27th 2008, 07:30 AM
mathgeek777
Factorials
I understand how to find them when numbers are involved. However, my problem is I can not figure out how to do it with n terms.
Example:
$\frac{(2n)!}{(2n-2)!}$
Any help will be greatly appreciated.
April 27th 2008, 07:38 AM
Isomorphism... | 4 | [
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0.0216064453125,
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-0.0556640625,
-0.03857421875,
-0.023681640625,
0.06298828125,
0.0003757476806640625,
0.016845703... | 21,400 | 21400 | |
Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 914963, 9 pages
http://dx.doi.org/10.1155/2014/914963
Research Article
Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications
^1D... | 4 | [
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system of equations word problem
April 9th 2007, 11:06 AM
Patience
system of equations word problem
Receipts for a concert, attended by 450 people, were $2775. If reserved-seat tickets were $7 and general-admission tickets were $4, how many of each type of ticket were sold?
April 9th 2007, 11:15 AM
Jhevon
... | 4 | [
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Convergence of a sequence
March 6th 2008, 10:10 AM #1
Newbie
Joined
Oct 2007
Posts
9
Convergence of a sequence
Hey all,
Unsure on how to structure the proof to the following:
Suppose that the sequence (an) tends to the limit A, while the sequence (bn) tends to the limit B. Prove that the sequen... | 4 | [
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How do Maxwells equations result from the field tensor?
My apologies for a less than comprehensive post at first;
Well, usually in the vector form of E and B or the 4 vector A,
where;
[tex]
A= ( \phi, \vec{A} )
[/tex]
where[tex] \vec{A} [/tex]is the magnetic vector
[tex]\phi[/tex] is the scalar electric potential.
[... | 4 | [
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0.0634765625,
0.052001953125,
0.0537109375,
-0.05908203125,
0.02807617... | 21,404 | 21404 | |
Inequlity
January 24th 2010, 12:58 PM #1
Junior Member
Joined
Dec 2009
Posts
33
Inequlity
Let $a>0$ and $k>1$. Prove that for comlex $z$
$|arg\ (z)|\leq 2\,\arccos\frac 1k \Rightarrow |a+z|\geq \frac {a+|z|}k$
Hint: $\cos x$ is decreasind in $[o,\pi]$. Not so difficult, I think?
Inequality
... | 5 | [
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0.06494140625,
... | 21,405 | 21405 | |
Summary: A selfsimilar tiling generated by the minimal Pisot number
Shigeki Akiyama Taizo Sadahiro
Abstract
Let fi be a Pisot unit of degree 3 with a certain finiteness condition. A large family of self
similar plane tilings can be constructed, by the digit expansion in base fi. (cf. [7], [5], [8]) In
this paper, we p... | 4 | [
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0... | 21,406 | 21406 | |
RLC Circuit Question
April 17th 2013, 05:19 AM
tammyl
RLC Circuit Question
I have the following question to work out:-
A defibrillator consists of a open circuit containing a capacitor of 40 $\mu$F and an inductor of 0.05H. A patient has a resistance of 60 $\Omega$ when the defibrillator is discharged throu... | 4 | [
-0.07666015625,
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Energy-momentum tensor for a scalar field (sign problem!)
Hi
I have a small subtle problem with the sign of the energy-momentum tensor for a scalar field as derived by varying the metric (s.b.). I would appreciate very much if somebody could help me on my
specific issue. Let me describe the problem in more detail:
I ... | 4 | [
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Velocity problem -- i think my answer is wrong
March 3rd 2010, 10:55 AM
kpizle
Velocity problem -- i think my answer is wrong
Here is the problem:
A body of mass m is moving with velocity v in a gravity-free laboratory. It is known that the body experiences resistance in its flight proportional to the squar... | 5 | [
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0.078125,
0.03955078125,
-... | 21,409 | 21409 | |
Calculas- limits
May 25th 2008, 02:54 PM #1
Newbie
Joined
May 2008
Posts
3
Apply limit laws to evaluate or show that the limit does not exist.
lim Cos (π + ∆ x) +1
∆x -> 0 ∆x
I started like this but It didnt go anywhere:
lim Cos (π + ∆ x) +1 . Cos (π + ∆ x) -1 = lim Cos (π + ∆ x)^2 -1
... | 5 | [
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-0.07666015625,
-0.0... | 21,410 | 21410 | |
Negative Hessian of a convex function
August 16th 2010, 08:27 AM #1
Newbie
Joined
Aug 2010
Posts
7
Negative Hessian of a convex function
Consider the function f(x,y) = x^2 * exp(y). Its Hessian is -2 * x^2 * exp(2 * y) which is negative for any non-zero x, while f is convex.
What is the story about H... | 5 | [
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-0.05371093... | 21,411 | 21411 | |
A question on the sum of element orders of a finite group
up vote 9 down vote favorite
1
Let G be a nontrivial finite group. Is it true that the sum of the orders of all elements of G is not divisible by the order of G?
gr.group-theory
1 Since you are new to the site and in case you are not aware: you can edit th... | 5 | [
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0.01031494140625,
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A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation
Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 171620, 20 pages
http://dx.doi.org/10.1155/2011/171620
Research Article
A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation
^1Depar... | 5 | [
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is this convergent?
April 18th 2010, 03:22 PM #1
Junior Member
Joined
May 2009
Posts
71
is this convergent?
inf (x ^ 2) + 1
sum -----------------
x=1 3 x ^ 3 - x + 2
I find potentially convergent
Then I say discard all but x ^2 / x^3, so that simplifies to be:
1/x
use p series ... | 5 | [
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Line Integrals
April 23rd 2011, 10:58 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Line Integrals
For F = (4xy - 3(x^2)(z^2))i + (2(x^2))j - (2(x^3)z)k
(1,0,1) to (1,1,1)
Show the integral (lower limit c) F.dr is independent of the curve c joining two given points by obtaining a scalar functio... | 4 | [
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Probability question - Bayes' Theorem - 4 Balls, 2 white, P(all white) = ?
1. The problem statement, all variables and given/known data
A Bag contains 4 balls.two balls are drawn at random,and are found to be white.what is the probability that all balls are white?
2. Relevant equations
P(B/A) = P(A intersection B) /... | 5 | [
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... | 21,416 | 21416 | |
Length of Day and Twilight
Formulae
The actual day of year and the latitude (0deg at the equator to 90deg at the North pole) both influence the length of the day.
The perceived way of the sun around the planet can be viewed at as the boundary circle of the planet's disc. However, this constellation (in which the sun ... | 4 | [
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... | 21,417 | 21417 | |
Physics Forums - Difference of pressure of fluids in containers.
Hello everyone,
I have a question that pertains to the physics of fluids and how the pressure of which changes in different given containers, which contains water. Basically, here is what I’m trying to do:
The shape of the container is that defined by ... | 4 | [
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(kn)! / (kn+k)! = k^k?
1. November 27th 2012, 05:16 PM #1
2. November 27th 2012, 05:37 PM #2
Re: (kn)! / (kn+k)! = k^k?
Oops. Didn't realize it was a limit at first glance.
Last edited by Bean; November 27th 2012 at 06:34 PM.
3. November 27th 2012, 05:52 PM #3
Re: (kn)! / (kn+k)! = k^k?
... | 5 | [
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Area of a dome
Integral
The best I can interpret what you are saying the formula I gave you on my first post is the one you want.
[tex] S = 2 \pi R h [/tex]
Where R is the Radius of the sphere
h would be the distance from the ground to the top of the dome.
No, Integral, that's the lateral area of a cylinder of radi... | 5 | [
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[SOLVED] epsilon/delta limit in R^n. supposedly easy, but I need to learn the ropes
October 26th 2009, 07:34 PM #1
Senior Member
Joined
Feb 2008
Posts
410
[SOLVED] epsilon/delta limit in R^n. supposedly easy, but I need to learn the ropes
Use the epsilon/delta definition to find and prove the limit:
... | 5 | [
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Math Help
October 14th 2008, 06:26 AM #1
Junior Member
Joined
Sep 2008
From
Pennsylvania
Posts
28
mean
The mean of a set of numbers is 20. If one number is increased by 360, the mean increased to 40. How many numbers are in the set?
use no algebra.
$\frac{a_1+a_2+\dots +a_n}n+40=\frac{a_1+... | 4 | [
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cartesian product proofs
October 29th 2009, 09:45 AM
leinadwerdna
cartesian product proofs
A X (B U C)= (A X B) U (A X C)
proof:
Assume (x,y) is an element of A X (B U C). This means x is an element of A and y is an element of B or y is an element of C. Since (x,y) can be x as an element of A and y as a... | 4 | [
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Patent US4929954 - Device for computing a sliding and nonrecursive discrete Fourier transform and its application to a radar system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a device for computing a sliding (or moving window) discrete Fourier transform or in other words a ... | 4 | [
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Proposition 7
Equal magnitudes have to the same the same ratio; and the same has to equal magnitudes the same ratio.
Let A and B be equal magnitudes and C an arbitrary magnitude.
I say that each of the magnitudes A and B has the same ratio to C, and C has the same ratio to each of the magnitudes A and B.
Take equim... | 4 | [
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0.083007812... | 21,425 | 21425 | |
Divisible by 7
January 5th 2010, 11:36 PM #1
Senior Member
Joined
Apr 2009
Posts
306
Divisible by 7
The number $d_1d_2 \cdots d_9$ has nine (not necessarily distinct) decimal digits. The number $e_1e_2 \cdots e_9$ is such that each of the nine $9$-digit numbers formed by replacing just one of
the dig... | 5 | [
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0.0524902343... | 21,426 | 21426 | |
Proof with algebra, and proof by induction (problems)
May 30th 2008, 04:04 PM
kjey
Proof with algebra, and proof by induction (problems)
Hi there.
Soon I have my final exam in Discrete Mathematics, and I'm just working a little bit on proof by induction and refreshing my algebra. There are two exercises tha... | 5 | [
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0.0135498046875,
... | 21,427 | 21427 | |
Factorisation and Completing the Square
February 25th 2008, 04:02 PM #1
Newbie
Joined
Jan 2008
Posts
18
Factorisation and Completing the Square
Maths is certainly not me, why on earth I decided to pick Further is beyond comprehension. A couple of questions have got me, eternal thanks for any response.
... | 4 | [
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graph theory proof
April 2nd 2010, 09:48 PM
myenemy
graph theory proof
Prove that if G is a graph with no cycles of even length, then every cycle in G is an induced subgraph of G.
any help would be great
thanks.
April 4th 2010, 06:38 PM
wgunther
Suppose G has no cycles of even length. Let $H=\{ ... | 4 | [
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Adaptive Sliding-Mode Tracking Control for a Class of Nonholonomic Mechanical Systems
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 734307, 9 pages
http://dx.doi.org/10.1155/2013/734307
Research Article
Adaptive Sliding-Mode Tracking Control for a Class of Nonholonomic Mechanical Systems
School... | 4 | [
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cant find my mistake anywhere
January 31st 2010, 12:32 PM #1
Super Member
Joined
Aug 2009
Posts
639
cant find my mistake anywhere
each of the 3 identical boxes has 2 drawers. the first box, one a gold watch in each drawer. the 2nd box, has a silver watch in each drawer and the 3rd box has a gold watch in... | 5 | [
-0.045166015625,
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Question about infinite sequences and series
August 14th 2008, 06:27 PM #1
Question about infinite sequences and series
I'm studying the monotonic sequence theorem but can't really understand what it is used for? Does it just prove that a sequence converges but doesn't provide an answer to what it converges to?
... | 5 | [
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Proving stokes theorem
1. The problem statement, all variables and given/known data
for the vector field E=x(xy)-y(x^2 +2y^2)
find E.dl along the contour
find (nabla)xE along the surface x=0 and x=1 y=0 and y=1
2. Relevant equations
3. The attempt at a solution
i tried the second question (nabla)xE over the surface... | 4 | [
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Thermodynamics - ideal gas properties
johnsmith456
Enthalpy change:
h[2]-h[1]=∫c[p] dT+ ∫[v-T(∂v/∂T)[P]]dP
At ideal gas the pressure integral goes to zero.
I am not sure how you get this. If H = U + PV, then dH = dU + PdV + VdP and ΔH = ΔU + ∫PdV + ∫VdP = ΔQ + ∫VdP
So,
if pressure is constant
, ∫VdP = 0, so ΔH ... | 4 | [
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Good problem
March 2nd 2009, 01:10 PM
Michael L
Good problem
Each of three cards has an integer written on it. The three integers
p, q, r satisfy
the condition 0 ≤ p < q < r. Three players A, B, C mix the cards and pick one each.
The number on the card they select is added to their scores.
This ... | 4 | [
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Verify a trig identity
June 20th 2013, 08:43 AM #1
Member
Joined
Apr 2010
Posts
116
Thanks
1
Verify a trig identity
Hello, I'm doing an induction problem and in the basis step I have to verify this identity (assuming $\sin{x/2}eq 0$):
$\sin{x}=\frac{\sin{(2x)}}{4\sin^2{\left(\frac{x}{2 } \right)... | 4 | [
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... | 21,436 | 21436 | |
Bernoulli Method for d.e
October 19th 2010, 12:49 PM #1
Junior Member
Joined
Dec 2008
From
London
Posts
45
Bernoulli Method for d.e
Got this questions that I'm struggling with and need help finding the solution to the following differential equation
$\frac{dx}{dt}+x=x^4sin(t)$ it is given that x... | 4 | [
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... | 21,437 | 21437 | |
Antiderivative problem...should be pretty easy
Member
Registered: 2005-11-24
Posts: 455
Re: Antiderivative problem...should be pretty easy
Administrator
Registered: 2005-01-21
Posts: 7,529
Re: Antiderivative problem...should be pretty easy
Hi irspow. Good posts. Would you like to become a Me... | 5 | [
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0.05810546875,
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Showing the Fundamental Group of S^1 is isomorphic to the integers
There are basically still 3 issues with your homotopy:
1) You forgot an extra coefficient of 2 in front of n in your H for s >= 1/2.
2) It doesn't line up on s=1/2, i.e. the two expressions you gave are different when s=1/2
3) It isn't a homotopy of lo... | 4 | [
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Integration salt diffusion problem
August 5th 2009, 07:43 PM #1
Newbie
Joined
Jun 2009
Posts
19
I worked through this an am not confident with my answer:
Question;
An aquarium pool has volume 2x10^6 litres. The pool initially contains fresh water. At t=0 minuts, water containing 10 gms/litre of s... | 5 | [
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Help with last step of proof
April 18th 2011, 07:06 PM #1
Junior Member
Joined
Sep 2009
Posts
62
Help with last step of proof
I'm stuck on the last step of proof involving the sum of divisors function. I need to show that 1+2+3+...+n <= n^2.
<= - is less than or equal to
It's probably an obviou... | 4 | [
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0.0... | 21,441 | 21441 | |
Momenum and differential of momentum
gabee
Hmm.
Using the equation
[tex]dp = dm*V[/tex]
must implicitly assume that V is constant wrt the variable by which you differentiate.
If that variable is length x, say, then m=m(x) and V=V(x). Then
[tex]\frac{dp}{dx} = V\frac{dm}{dx} + m\frac{dV}{dx}[/tex].
First, it's ... | 4 | [
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0.1... | 21,442 | 21442 | |
How I find a Function f that is continuous but not uniformly continuous
April 18th 2011, 06:43 AM
alice8675309
How I find a Function f that is continuous but not uniformly continuous
Let D be a nonemty set which is not closed. Find a function f: D->R such that f is continuous on D but not uniformly continuous on... | 5 | [
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0.08984375... | 21,443 | 21443 | |
Double Spring Mass System
April 11th 2011, 12:48 PM
ShazamV4
Double Spring Mass System
A mass (M) is connected to two oscillating supports with springs (mass in the middle, then single spring on each side connecting to a moving support). The left support oscillates at $X_1=Acos(wt)
$ and the right hand suppo... | 5 | [
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-0.050048828125,
-0.0082... | 21,444 | 21444 | |
Tough (for me) arc length question
Question: Find the length of the curve http://gauss.vaniercollege.qc.ca/web...6819fae171.png = ? Any help would be greatly appreciated! Thanks in advance!
You have $x=f(y)$ and $a\leq y \leq b$ $L=\int_a^b \sqrt{ 1 + \left[ f'(y) \right]^2} \, dy$
You want to solve... $\int_{-125}^{... | 5 | [
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Physics Forums - View Single Post - Observation: A Prime / Mersenne / (Ramanujan) Triangular Number Convolution
Hi CRGreathouse. Don't know if you've been checking in at all, but I thought I'd make mention of the fact that I have cleaned up my initial statement just a bit. It might still make one "cringe," but
it does... | 4 | [
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Lagrange Multipliers (Question)
March 6th 2010, 04:58 PM
VkL
Lagrange Multipliers (Question)
Hello, I am trying to find the absolute maximum and/or minimum of
$f(x,y)=xy$ on the circle $x^2 + y^2=1$
I am stuck and would like some help if any1 can help me.
This is what I have so far,
$abla f(x... | 5 | [
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-0.0771484... | 21,447 | 21447 | |
Maximal normal subgroup
November 6th 2010, 09:11 AM
DanielThrice
Maximal normal subgroup
1) Is S7 X {0} a normal subgroup of S7 X Z7?
2) Are there any subgroups G such that S7 X {0} < G < S7 X Z7?
3) If yes to 2), are any of the subgroups G normal?
The original question was if the group S7 X {0} i... | 5 | [
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Patent US5513214 - System and method of estimating equalizer performance in the presence of channel mismatch
The application is a continuation of application Ser. No. 08/281,547, filed Jul. 27, 1994, now abandoned, which is a continuation of application Ser. No. 07/846,651, filed Mar. 5, 1992, now
abandoned.
FIELD OF ... | 4 | [
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0.036865234... | 21,449 | 21449 | |
Integrals
July 21st 2008, 05:33 PM #61
OK, as promised.
Lemma 1: $<br /> \int_0^{\tfrac{\pi }<br /> {2}} {\sin ^{2n} \left( x \right)dx} = \frac{\pi}{2^{2n+1}}\cdot{\binom{2n}{n}}<br />$
See here
Lemma 2: $<br /> \sum\limits_{n = 0}^\infty {\binom{2n}{n} \cdot x^n } = \tfrac{1}<br /> {{\sqrt {1 - 4... | 5 | [
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0.04858398437... | 21,450 | 21450 | |
Question regarding these two extreme values problems...
May 11th 2011, 03:42 PM
theant4
Question regarding these two extreme values problems...
So I'm on the last two problems of this assignment and I've worked them both out as far as I can and I can't seem to figure out where I'm going wrong. Both of them have ... | 4 | [
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-0.12695312... | 21,451 | 21451 | |
Prove:(tanx/(1+tanx)) = (sinx/(sinx+cosx))
November 15th 2010, 05:56 PM
tmas
Prove:(tanx/(1+tanx)) = (sinx/(sinx+cosx))
For this question the only answer I seem to get is sinx/cosx not (sinx/(sinx+cosx))
(tanx/(1+tanx)) = (sinx/(sinx+cosx))
((1-tanx/1-tanx)) times (tanx/(1+tanx))
((tanx(1-tanx))/(... | 4 | [
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0.081542968... | 21,452 | 21452 | |
System of DE's: Laplace transfomation
April 28th 2010, 01:19 AM #1
Junior Member
Joined
Apr 2010
Posts
30
System of DE's: Laplace transfomation
Using the Laplace transform, find the functions x(t) and y(t) that satisfy
x=y=0 at t=0 and
dx/dt + 2(dy/dt) + x = t
-dx/dt - dy/dt + y =1
i t... | 5 | [
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-0.0498046875,
0.0235... | 21,453 | 21453 | |
Subgroups of a group of even order
April 3rd 2011, 02:52 PM #1
Subgroups of a group of even order
My question is this: Can we construct a group of even order that has no subgroups? I am tolerably certain that I have heard of this as a theorem, but I may have only heard it in reference to
cyclic groups where i... | 5 | [
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0.0275... | 21,454 | 21454 | |
Limit Question
September 4th 2010, 08:18 AM #1
Junior Member
Joined
Mar 2006
Posts
46
Limit Question
How to i prove this?
If Xn -> X and X > 0, prove that there exists a natural number K such that
X/2 < Xn < 2X
for all n in K. (In particular, Xn > 0 for all n in K.)
The definition of "... | 4 | [
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... | 21,455 | 21455 | |
Dynamics and Structure in Cell Signaling Networks: Off-State Stability and Dynamically Positive Cycles
Abstract
The signaling system is a fundamental part of the cell, as it regulates essential functions including growth, differentiation, protein synthesis, and apoptosis. A malfunction in this subsystem can
disrupt th... | 4 | [
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Inequalities and Roots
Author Message
TAGS:
Re: Inequalities and Roots [#permalink] 25 Jul 2013, 20:26
1
Thi... | 4 | [
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Patent US5625551 - Feedback controller
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a feedback controller which can be utilized in many industrial fields, and can quickly match a controlled variable with a target value.
2. Related Background Art
As a representative system o... | 4 | [
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... | 21,458 | 21458 | |
Quick question about divergent and convergent
February 10th 2011, 09:52 PM #1
Member
Joined
Mar 2010
Posts
133
Here is a problem:
If you integrate that, you would get:
Now using the Fundamental theorem of calculus, F(b) - F(a) you would get an answer of 4ln(4) - 8.
But how is th... | 5 | [
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-0.03271484375... | 21,459 | 21459 | |
6-50(b)
7-49(b).A river is flowing with a speed of 3.74 m/s just upstream from a waterfall of vertical height 8.74 m. During each second 7.12X10^4 kg of water pass over the fall.
(a) [We will ignore this part]
(b) If there is complete conversion of gravitational potential energy to kinetic energy, what is the speed o... | 4 | [
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Mathematical proofs
March 7th 2007, 05:46 PM #7
March 7th 2007, 05:44 PM #6
March 7th 2007, 04:18 PM #5
Junior Member
March 7th 2007, 10:46 AM #4
Global Moderator
March 7th 2007, 08:27 AM #3
March 7th 2007, 07:46 AM #2
March 7th 2007, 07:41 AM #1
Junior Member
would you like me to explain this proof even more... | 5 | [
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Poynting's Theorem, Work and Energy
Next: Magnetic Monopoles Up: Maxwell's Equations Previous: The Coulomb or Transverse Contents
Recall from elementary physics that the rate at which work is done on an electric charge by an electromagnetic field is:
If one follows the usual method of constructing a current den... | 4 | [
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Comparing two population means - Large Sampel Size
Comparing two population means - large independent samples
Comparing sample means of two independent samples with large sample size is similar to comparing a sample mean against a population mean (Chapter 7); the z-score or z-statistics for the standard
normal distri... | 5 | [
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Integral definition of gamma function problem
September 18th 2011, 11:17 PM
Potato
Integral definition of gamma function problem
Hey guys got a tricky question (for me at least) that i'm not sure about. Calculus was never really my strong point.
Not sure how to use the math tags very well either so i just a... | 5 | [
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LRS Bianchi Type-I Dark Energy Cosmological Models in General Scalar Tensor Theory of Gravitation
ISRN Astronomy and Astrophysics
Volume 2013 (2013), Article ID 174741, 6 pages
http://dx.doi.org/10.1155/2013/174741
Research Article
LRS Bianchi Type-I Dark Energy Cosmological Models in General Scalar Tensor Theory of ... | 4 | [
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Gauss's law in electrodynamics
Gauss law is,
∇.E=ρ/ε[0] .now in most general form
E=-∇ψ-∂A/∂t, if you put it into above you get,
-∇^2ψ-∂/∂t(∇.A)=ρ/ε[0]............(1)
now using lorentz gauge(more preferable) we have ∇.A=-1/c^2 ∂ψ/∂t
if you will put it into (1) you will get the the general form of potential equations.th... | 4 | [
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E=MC squared
Originally posted by Peter_C
One thing I may be forgetting in the above post is that the molecular energy is stored similar to kinetic energy... it is potential energy waiting to be released... For example a compressed spring
holds no more mass than the same spring uncompressed.
Not correct, as shown by t... | 5 | [
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Implicit Differentiation
May 10th 2011, 08:48 PM #1
Junior Member
Joined
Apr 2011
Posts
68
Implicit Differentiation
Hey guys can you help me out with this:
Given the ellipse 4x^2 + 9y^2 = 36,
a) Find $\frac{dy}{dx}$.
is this correct:
$\frac{d(4x^2)}{dy}+\frac{d(9y^2)}{dx}*\frac{dy}{dx } =... | 4 | [
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Max/Min Of Area/Volume
Last edited by AlphaRock; April 1st 2009 at 01:45 AM.
let length and width of bas be x (its square so both are equal) and height be y. so volume $x^2y = 2$ so $y = 10/x^2$ area of sides and bottom = $x^2 + 4xy$ area of top = $x^2$ so cost $C = 10(x^2 +
4xy) + 20x^2$ $= 30x^2 + 40xy$ $= 30x^2 + 4... | 4 | [
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Prove that subset of regular surface is also a regular surface
Dear Sirs and Madam's
I have following problem which I hope you go assist me in. I have been recommended this forum because I heard its the best place with the best science experts in the world.
Anyway the problem is as follows
1. The problem statement, ... | 4 | [
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Patent US7987186 - Method and system for wavelet-based representation and use of cartographic data
TECHNICAL FIELD OF THE INVENTION
The present invention relates generally to cartography, and in particular, to the use of wavelet transforms to represent cartographic data.
BACKGROUND OF THE INVENTION
Cartographic data... | 4 | [
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roots of the equation
Find the roots of the equations: 1. $sin(x)=x$ 2. $cos(x)=x$ 3. $tan(x)=x$
draw the graphs in each case to find solutions. suppose,y=sinx & y=x gives the solution of first equation. though sin(x) becomes x when x is a very small proper fraction.
These are transcendental equations - which means t... | 4 | [
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0.0177001953125... | 21,472 | 21472 | |
Ellipse equation
Now, HallsofIvy made out a special case, with the center with the same values as the lengths of the semi-axes.
You shouldn't make that restriction here (call one of the (a,b)-pairs (c,d)-for example).
To give you the first step on your way, multiplying up and out, we get (with (c,d) centre coordinate... | 4 | [
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Math Help
May 30th 2008, 03:51 PM #1
Unfoiling
From the following example in the book
$24x^2 - 34x - 45$
Step 1
Factors of 24
1 x 24
2 x 12
4 x 6
3 x 8
Step 2
Factors of 45
1 x 45
5 x 9
3 x 15
Look at the sign of C
In this case C is negative, therefore ... | 4 | [
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find area of ellipse by green theorem
April 30th 2008, 05:03 AM #1
Senior Member
Joined
Feb 2008
Posts
321
find area of ellipse by green theorem
1. By greens theorem, find an expression for the area of the region R, and apply this to evaluate the area of the ellipse bounded by the curve.
x= a cos th... | 4 | [
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Patent US6798853 - System and method for compensating for frequency offset
BACKGROUND
The present invention relates to systems for providing automatic frequency control in radio frequency communication systems and, more specifically, to a system for compensating for frequency offset
in a digital mobile radio frequency... | 4 | [
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-... | 21,476 | 21476 | |
finding parametric & symmetric equations of line
June 8th 2008, 12:26 AM #1
Member
Joined
Jun 2008
Posts
175
finding parametric & symmetric equations of line
Have a question which is as above for line through points (0, 1/2, 1) and (2,1, -3)
They way I understand it this is what you do. Get a direct... | 4 | [
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Differentiation
January 15th 2008, 03:22 PM #1
Newbie
Joined
Jan 2008
Posts
4
Differentiation
How would you differentiate y = (302x^2)(x^4 = x) ?
y = x^2 / 3x - 1?
Thank you fo any help assistance!
i suppose for the first problem you meant $y = 302x^2 \left( x^4 + x \right)$ ?
in that c... | 5 | [
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0.07861328125,
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Ideals and Containment.
October 20th 2012, 12:35 AM
anguished
Ideals and Containment.
Let $R$ be a ring with a proper left ideal $M$ such that, for any $r \in R$, either $r \in M$ or $r$ is a unit.
(a) Prove that if $L$ is a left ideal which contains $M$ then either $L = R$ or $L = M$.
(b) Prove that e... | 5 | [
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... | 21,479 | 21479 | |
Problem with deriving joint/marginal PDF
Hi, I'm having a problem with a MATLAB assignment in my probability class. It has to do with finding the joint and marginal PDFs of a pair of random variables. I understand this stuff on paper, but
for some reason this assignment is giving me problems since I don't have a good i... | 5 | [
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Screening and Replication using the Same Data Set: Testing Strategies for Family-Based Studies in which All Probands Are Affected
Abstract
For genome-wide association studies in family-based designs, we propose a powerful two-stage testing strategy that can be applied in situations in which parent-offspring trio data ... | 4 | [
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0.0339... | 21,481 | 21481 | |
differential questions.
November 11th 2009, 01:01 AM #1
Newbie
Joined
Nov 2009
Posts
4
differential questions.
Solve the following: Let f(x) = e^nx, where n is a positive integer. Find f ' (x). (Hint: use the Product Rule.)
Let f(x) = x^2/e^2x. Solve f ' ' (x) = 0
I have no idea on how to g... | 5 | [
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0.01708984375,
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0.00396728515625... | 21,482 | 21482 | |
Multivariable Calc Chain Rule proof problem
May 27th 2009, 06:55 PM
Susaluda
Multivariable Calc Chain Rule proof problem
If u=f(x,y), where x = e^s cos(t) and y = e^s sin(t), show that:
(d^2 u)/(dx^2) + (d^2 u)/(dy^2) = e^(-2s) ((d^2 u)/(ds^2)+(d^2 u)/(dt^2))
Sorry that's really hard to read...don't kn... | 5 | [
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Moving particle problem
May 12th 2012, 02:33 AM
Brennox
Moving particle problem
So i dont really know how to go about this question, if u can please show the method leading up to the solution
The temperature at each point (x,y) of a metal plate is given by
T(x,y)= 1 + x^2 + 3/2(y^2)
The path of t... | 5 | [
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-0.031982421875... | 21,484 | 21484 | |
Counting Methods
May 14th 2007, 05:08 PM #1
Newbie
Joined
May 2007
Posts
23
Counting Methods
The Following Question refers to a set of Five distinct computer science books, three distinct mathematics books, and two distinct art books.
How many different ways can these books be arranged on a shelf if... | 4 | [
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Patente US6154691 - Orienting a satellite with controlled momentum gyros
TECHNICAL FIELD OF THE INVENTION
This invention relates to satellites, in particular, controlling the orientation of a satellite using a plurality of control momentum gyros (CMG).
BACKGROUND OF THE INVENTION
The attitude on an agile spacecraft ... | 4 | [
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0.035... | 21,486 | 21486 | |
find the tangent line of a parametrized curve
Last edited by Taurus3; February 13th 2011 at 08:46 PM.
1. Evaluate $\displaystyle \gamma'(t)$ at the point $\displaystyle t$ where $\displaystyle \sin{2t} = 0$ and $\displaystyle \cos{2t} = 1$. 2. Velocity = $\displaystyle \mathbf{v}(t) = \frac{d}{dt}[\
mathbf{r}(t)]$. To... | 5 | [
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representation of functions as power series
April 18th 2009, 11:02 PM #1
Member
Joined
Oct 2008
Posts
158
representation of functions as power series
a) use differentiation to find a power series representation for f(x)= 1/(1+x)^2
what is the radius of convergence?
my answer: sigma from n =1 to i... | 4 | [
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Some Study Questions For PHYS100A
Here are some study questions for a college Physics 100A course I dug up. They seem to be related to momentum. Let's see how well you can do:
1.
A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 56.0 m/s and returns the shot with the ball traveling hor... | 4 | [
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Repeating decimals
July 22nd 2010, 01:30 PM
StevenBrown
Repeating decimals
I discovered that the decimal representation of 15/17 consists of an endlessly repeating sequence of 16 digits. I wonder what rational number has the longest sequence of repeating digits?
July 22nd 2010, 01:36 PM
StevenBrown
Thinki... | 4 | [
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QAWO adaptive integration for oscillatory functions
17.9 QAWO adaptive integration for oscillatory functions
The QAWO algorithm is designed for integrands with an oscillatory factor, \sin(\omega x) or \cos(\omega x). In order to work efficiently the algorithm requires a table of Chebyshev moments which must
be pre-co... | 4 | [
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Coupled Differential Equations
August 21st 2011, 02:29 AM #1
Newbie
Joined
Aug 2011
Posts
7
Coupled Differential Equations
Hey, I've been set a question which i have no idea how to attempt. Please could some one show me some guidance? thanks
Question:
y'(x) +z(x)= x
z'(x) +4y(x)=0
y(0)=... | 5 | [
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Math Help
January 4th 2010, 10:04 PM #1
Limit?!
Calculate this limit :
$\mathop {\lim }\limits_{x \to + \infty } \left( {\sin \left( {\pi \sqrt {x^2 + x} } \right)} \right)$
The limit doesn't exist: take the sequence $\{x_n\}=\left\{\,\frac{-1+\sqrt{4n^2+1}}{2}\,\right\}$$\Longrightarrow \sqrt{x_n^... | 5 | [
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Physics Forums - Mass of a Rotating Cylinder
the one Dec12-07 01:48 PM
Mass of a Rotating Cylinder
Hi
assume that a Cylinder with radius [tex]\[
R
\][/tex] , proper mass [tex]\[
M_0
\][/tex] and height [tex]\[
h
\][/tex] which is rotating at a constant angular speed [tex]\[
\omega
\][/tex]
In order to calculate ... | 4 | [
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Application of the Asymptotic Taylor Expansion Method to Bistable Potentials
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 239254, 8 pages
http://dx.doi.org/10.1155/2013/239254
Research Article
Application of the Asymptotic Taylor Expansion Method to Bistable Potentials
Department of Engineering Ph... | 5 | [
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tanh(2+3i)
$\displaystyle tanh(2+3\mathbf{i})=\frac{\mathbf{i}sinh(2+3\mathb f{i})}{cosh(2+3\mathbf{i})}$ $\displaystyle \frac{cos(3)sinh(2)+\mathbf{i}sin(3)cosh(2)}{cos(3 )cosh(2)+\mathbf{i}sin(3)sinh(2)}$ How
can I simplify this further without multiplying by the conjugate?
Also, $\displaystyle \tanh{(2+3i)} = \frac... | 5 | [
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Uniform Rectilinear Motion
If a particle moves in a straight line, it is called a rectilinear motion. Suppose if it moves with uniform acceleration in straight line, it can call as uniform rectilinear motion (accelerated
uniformly). Based on the above assumption, we have the following formulae to deal with:
(i) v = u... | 4 | [
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0.088378... | 21,497 | 21497 | |
Show problem ill-conditioned
August 29th 2011, 02:24 AM #1
Show problem ill-conditioned
I am attempting to show that
$y'' -10y' -11y = 0$, with $y(0) = 1$ and $y'(0) = -1$ is ill-conditioned.
I assumed a solution of the form $y(x) = e^{rx}$ which (of course) lead me to $r^{2} - 10r - 11 = 0$. Solutions t... | 5 | [
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... | 21,498 | 21498 | |
Interaction picture and s-matrix
Also one should be warned that not always you can use naive "free-particle" states as the asymptotic states. The most simple example is the non-relativistic Coulomb-scattering cross section. This
describes the scattering of a particle on a classical Coulomb potential (roughly the scatte... | 4 | [
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0.... | 21,499 | 21499 |