content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
2 questions.. volume and rate of change?
April 7th 2009, 11:43 PM #1
Newbie
Joined
Apr 2009
From
Melbourne
Posts
4
2 questions.. volume and rate of change?
Gday.
If anyone can show me how to do these i appreciate it muchly.
Im on a 2 week break with an exam first day back and got no idea wha... | 5 | [
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0.0859375,
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0.020141601562... | 30,800 | 30800 | |
Oscillatory Behavior of Solutions of Certain Integrodynamic Equations of Second Order on Time Scales
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 259467, 5 pages
http://dx.doi.org/10.1155/2014/259467
Research Article
Oscillatory Behavior of Solutions of Certain Integrodynamic Equations of Second Order... | 5 | [
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[SOLVED] Swapping your dependent/independent variables? (ODE)
February 2nd 2008, 05:19 PM
Friedeggs123
[SOLVED] Swapping your dependent/independent variables? (ODE)
I just discovered this board and it seems like an awesome idea. I have a question that I've been wracking my brains on for a while now and I can't f... | 5 | [
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Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 272867, 14 pages
http://dx.doi.org/10.1155/2014/272867
Research Article
Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces
^1Depa... | 4 | [
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Tuning optim with parscale
January 26, 2014
By Bogumił Kamiński
I often get questions what is the use of
parscale
parameter in
optim
procedure in GNU R. Therefore I have decided to write a simple example showing its usage and importance.
The function I test is a simplified version of estimation problem I had to... | 5 | [
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Verify Trig Identities
(CosθCotθ)/1-Sinθ - 1 = Cscθ 4(Tan^4)x + (tan^2)x - 3 = (sec^2)x[4(tan^2)x - 3] Sin(α/3)Cos(α/3) = .5Sin(2α/3)
Last edited by RosieLaird; August 5th 2010 at 02:52 PM.
Hello, RosieLaird! $\dfrac{\cos\theta \cot\theta}{1-\sin\theta} - 1 \:=\: \csc\theta$ The left side is: . $\dfrac{\cos\theta\cdo... | 4 | [
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Finding CP using Partial Derivatives
March 21st 2009, 08:25 PM #1
Newbie
Joined
Mar 2009
Posts
16
Finding CP using Partial Derivatives
The equation is this
B = e ^(xy/2)
I have successfully found all 6 first and second order partial derivatives but need help finding the CP [/FONT]
I assume ... | 5 | [
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Binomial distribution.
May 15th 2010, 05:47 AM #1
Newbie
Joined
May 2010
Posts
3
[SOLVED] Binomial distribution.
Solve this problem:
Six calculators are bought. The probability of a calculator breaking down within two years is 0.25. Calculate the probability that within two years:
a) Exactly two... | 4 | [
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Differential calculus of higher variables
December 1st 2011, 11:52 PM #1
Newbie
Joined
Dec 2011
Posts
5
Differential calculus of higher variables
if x1.x2.x3.....xn=1 where xi is positive then show that x1+x2+x3+.....+xn >=n (greater than or equal to)
Guys need your help
This was given as a pro... | 5 | [
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A New DG Multiobjective Optimization Method Based on an Improved Evolutionary Algorithm
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 643791, 11 pages
http://dx.doi.org/10.1155/2013/643791
Research Article
A New DG Multiobjective Optimization Method Based on an Improved Evolutionary Algorithm
Power D... | 4 | [
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Find lower and upper estimates of integral
October 26th 2013, 07:17 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Find lower and upper estimates of integral
Hi, my question is:
Consider the integral of 1/(t(t+1)) with respect to t, from lower limit t=0 to the upper limit t=n, where n is an arbitrary ... | 5 | [
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How much should you care for BABIP vagaries?
If you read these pages you are familiar with the notion that pitchers have little control over the outcome of balls hit into play (and not leaving the park). That’s why our writers always warn you
when a pitcher has an eye-catching ERA, but an extremely low batting average ... | 4 | [
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Condition probability ?
November 30th 2008, 04:50 AM
HowardF
Condition probability ?
I am dealing with a problem written as follows:-
Suppose that 10% of the people in a certain population have the eye disease glaucoma. For persons who have glaucoma measurements of eye pressure X will have normally distribu... | 5 | [
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Quaternion
September 26th 2011, 02:35 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Quaternion
Let $q=a+bi+cj+dk$ be a nonzero quaternion.
(a) Prove that the left multiplication $L_q:\mathbb{H}\to\mathbb{H}$ given by $L_q(x)=qx$ is an isomorphism.
$L_q(x_1)=L_q(... | 5 | [
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Complex integral
October 14th 2010, 07:59 AM #1
Complex integral
Q: Evaluate $\int_{\gamma}\frac{1}{z^{2}-2z}dz$, where $\gamma$ is the circle of raduis 1 centered at 2 traveled once conterclockwise.
First thing I did was use partial fraction decomp to break up the integrand. I ended up with
$\int_{\ga... | 5 | [
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A pide
October 18th 2009, 06:46 AM
shawsend
A pide
Find a non-trivial solution in the first quadrant for:
$f+\frac{\partial f}{\partial x}+\frac{\partial f}{\partial y}=\int_{x}^{\infty}\int_{y}^{\infty} f(u,v)dvdu$
Hint: Can you think of a trial function of two parameters $f(x,y;a,b)$ that would make ... | 4 | [
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Latin American applied research
Servicios Personalizados
Articulo
Indicadores
Links relacionados
Bookmark
versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.35 n.1 Bahía Blanca ene./mar. 2005
The formation of faraday waves on a liquid covered with an insoluble surfactant: influence of the surface equation o... | 4 | [
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... | 30,816 | 30816 | |
alpha and omega limit sets
May 23rd 2011, 06:55 AM #1
Junior Member
Joined
Feb 2011
Posts
52
alpha and omega limit sets
Consider the solution to x''= -x with the initial conditions x(0) = 0, x'(0) = 1. Find the alpha and omega limit sets for this solution.
(Then rewrite as a 2x2 system)
If you s... | 5 | [
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Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 214123, 8 pages
http://dx.doi.org/10.1155/2013/214123
Research Article
Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
^... | 5 | [
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Wolfram Demonstrations Project
Simulating the Branching Process
This Demonstration shows up to six simulated generations of a branching process. The distribution of the number of descendants of each member of the population can be either a Bernoulli type
distribution, the Poisson distribution, or a geometric type dist... | 4 | [
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sqrt 2, sqrt 3, sqrt 5 can't be in the arithmetic/geometric progression
sqrt 2, sqrt 3, sqrt 5 can't be in the same arithmetic/geometric progression
Prove that $\sqrt{2}$, $\sqrt{3}$ and $\sqrt{5}$ can't be terms in the same
progression.
Quote:
Trivial with a calculator of course. But proving $\sqrt... | 5 | [
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remainder of the product of the relatively prime numbers
May 28th 2009, 04:59 AM #1
Newbie
Joined
May 2009
Posts
3
remainder of the product of the relatively prime numbers
Hi all, I had a problem, pls help me.
Let $b_1 < b_2 < \cdots < b_{\varphi(m)}$ be the integers between 1 and m that are relative... | 5 | [
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Projectiles question
May 8th 2011, 08:58 PM
silvercats
Projectiles question
Ball is projected in a 30m/s velocity with a angle of X from a place called 'O' horizontally.The ball was caught by someone at 1m of height .This is position 'P'.If tan X=4/3 ,what is the time
took for the ball to go to 'P' from 'O' ... | 4 | [
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Yet Another Monad Tutorial (part 7: state monads)
In this article we'll look at a very interesting class of monads: state monads.
The State monad
Up to this point, our approach has consisted of taking an existing type constructor, showing how it could be used as a monad (i.e to represent some kind of function-with-o... | 4 | [
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Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities
Journal of Function Spaces and Applications
Volume 2012 (2012), Article ID 945467, 15 pages
http://dx.doi.org/10.1155/2012/945467
Research Article
Positive Periodic Solutions for Second... | 5 | [
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Law of Tangents
January 16th 2013, 12:48 PM
Imonars
Law of Tangents
Hey MHF, today in class we took Melloweid's formula, then the teacher gave us this equation and only two students were able to solve it (Headbang)
I'm 100% sure I'm going to have to use Melloweid's formula to derive it.
Law of Tangents ... | 4 | [
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Help with limits problems
January 18th 2010, 08:14 AM
Lord Darkin
Help with limits problems
My problem says, "there's a myth circulating among calculus students which states that all indeterminate forms of types $0^0, infinity^0$ and 1^(infinity) have a value of 1 since anything to the
zero power is 1 and 1 ... | 5 | [
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... | 30,826 | 30826 | |
I have no idea how to calculate volume of cap (=top) of a sphere (Image attached)
February 15th 2010, 10:09 AM #1
Super Member
Joined
Nov 2008
Posts
597
I have no idea how to calculate volume of cap (=top) of a sphere (Image attached)
I'm not sure if this isn't part of Calculus but it's in my Calculus te... | 4 | [
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-0.01953125,
-0.07373046875,
0.006011962890625,
0.05053... | 30,827 | 30827 | |
Using Conjugates to Solve Limits
January 21st 2011, 06:35 PM #1
Newbie
Joined
Dec 2010
Posts
17
Using Conjugates to Solve Limits
Here is the problem:
$<br /> \displaystyle \lim_{x\to 0 } \frac{\sqrt{1+h}-1}{h}<br />$
The limit of the denominator is obviously zero, which means that this equation... | 5 | [
-0.00003719329833984375,
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0.041015625,
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0.017578125,
0.0849609375,
-0.034423828125,
0.058837890625,
-0.0296630859375,
-0.03515625... | 30,828 | 30828 | |
differential equation verification
February 4th 2009, 03:09 PM #1
Junior Member
Joined
Feb 2009
Posts
45
differential equation verification
(dy/dt) + y = cos(e^t) i got the integrating factor as e^t and the answer i got is y = (1/(e^t))*(sin (e^t)) + C is this correct???
Very close, when you integra... | 5 | [
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-0.00830078125,
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0.0859375,
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0.043212890625,
-0.0289306640625,
-0.015869140625,
0.05126953125,
-0.... | 30,829 | 30829 | |
maths - two dimensional motion
Posted by Maggie on Tuesday, April 9, 2013 at 9:09am.
The problem I am trying to solve is from AQA Mechanics M1 and is as follows:
An object is moving in a plane. At time t=0, it is at the origin, O, and moving with velocity u. After 2 seconds it is at A where OA = -2i - 4j. After a fur... | 5 | [
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0.07373046875,
-0.01098632812... | 30,830 | 30830 | |
Volume of Solid and Double Integrals
July 6th 2009, 09:41 AM #1
Newbie
Joined
Jul 2009
Posts
18
Volume of Solid and Double Integrals
Hello,
I am trying to find the volume enclosed by the elliptic paraboloid z = x^2 + (y+1)^2 and the plane z - 2y - 5 = 0.
I am pretty sure this integral will be t... | 5 | [
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0.0260009765625,
0.0096435546875,
-0.031... | 30,831 | 30831 | |
Parametric Equation
December 10th 2009, 07:38 AM #1
Junior Member
Joined
Nov 2009
Posts
36
Parametric Equation
Consider the parametric curve given by the equations:
$y(t) = t^2 +30 t +15$
$x(t) = t^2 +30 t +46$
How many units of distance are covered by the point P(t) = (x(t),y(t)) between t... | 5 | [
-0.039794921875,
-0.0264892578125,
-0.006134033203125,
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-0.... | 30,832 | 30832 | |
Homework Help
Posted by sarsi on Thursday, September 19, 2013 at 3:11am.
A labour is throwing 12 bricks per min from the ground and these just reach the roof which is 3.3 meters high. ifthe weight of each bricks be 3.75 kg then find the horse power with which the labour
is working.
• physics - Graham, Thursday, Sep... | 4 | [
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0.018310546875,
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0.0308837890625,
-0.0189208984375,
0.039... | 30,833 | 30833 | |
On the Failure and Fracture of Polymer Foam Containing Discontinuities
ISRN Materials Science
Volume 2013 (2013), Article ID 408596, 9 pages
http://dx.doi.org/10.1155/2013/408596
Research Article
On the Failure and Fracture of Polymer Foam Containing Discontinuities
Department of Mechanical Engineering, University o... | 4 | [
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... | 30,834 | 30834 | |
Calculations of Conductors' Ampacity (NEC 2002)
Conductor Ampacity
The total amp load that the NEC allows a conductor to carry and be considered to meet the minimum safety standards after de-ration calculations are performed as required.
NOTE: The breaker must be sized no larger in amp size than the ampacity rating o... | 5 | [
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-0.... | 30,835 | 30835 | |
Projectile Motion Question
December 15th 2008, 06:26 PM #1
Newbie
Joined
Oct 2008
Posts
8
Projectile Motion Question
Alright, so I have the following projectile motion problem:
A daredevil jumps a canyon 12 m wide, to do so, he drives a car up a 15 degree incline. What minimum speed must he achieve ... | 4 | [
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0.109375,
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0.0625,
-0... | 30,836 | 30836 | |
Using Basic identities to simply the expression
April 3rd 2009, 12:52 PM #1
Newbie
Joined
Apr 2009
From
Washington state
Posts
12
Using Basic identities to simply the expression
Problem:
cos^2(x) / sin^2(x) + csc(x)sin(x)
I've worked on it,
On the right of the + sign I changed the csc(... | 4 | [
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0.0507812... | 30,837 | 30837 | |
Approximating Uniform Dist by CLT
August 25th 2009, 06:15 AM #1
Junior Member
Joined
May 2009
Posts
25
Approximating Uniform Dist by CLT
I'm given a question which asks the following:
In adding n real numbers, each is rounded to the nearest integer. Assume that the round-off errors, $X_{i}$, $i = 1,... | 5 | [
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0.08203125,
-0.... | 30,838 | 30838 | |
Parametric Curves
April 25th 2007, 10:21 AM #1
Newbie
Joined
Jan 2007
Posts
16
Parametric Curves
"Given the Parametric equations x=tsint and y=tcost find dy/dx at the point ((pi/2),0)
I remember that one must differentiate y'/x', but I don't remember what to do with the given point.
Y' = cost +... | 5 | [
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Condorect sub-cycle rule
Markus Schulze schulze at sol.physik.tu-berlin.de
Fri Oct 3 11:57:37 PDT 1997
Dear David,
you wrote (29 Sep 1997):
> Thank you for your responses. You inspired me to look through
> the archives more thoroughly. I still don't understand the sub-cycle
> rule, though. First, do you have a ref... | 4 | [
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... | 30,840 | 30840 | |
Exploring The Exponentially Weighted Moving Average
Volatility is the most common measure of risk, but it comes in several flavors. In a previous article, we showed how to calculate simple historical volatility. (To read this article, see Using
Volatility To Gauge Future Risk.) We used Google's actual stock price data ... | 4 | [
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0.051025390625,
0.06591796875,
-0.025634765625,
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-0.0240478515625,
0.0216064453125,
-0.0546875,
-0.060791015625,
0.0380859375,
0.... | 30,841 | 30841 | |
Unique R-Module Homomorphism
September 2nd 2011, 06:49 PM #1
Unique R-Module Homomorphism
I am reading Dummit and Foote Ch 10: Modules and in particulat section 10.3 Generation of Modules, Direct Sums and Free Modules.
I am having problems understanding and interpreting Theorm 6 - see attached pdf for the tw... | 4 | [
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-0.01239013671875,
... | 30,842 | 30842 | |
Expected number of blood tests.
March 23rd 2011, 12:57 AM #1
Newbie
Joined
Mar 2011
Posts
3
Expected number of blood tests.
It is known that 5% of the members of a population have disease A, which can be discovered by a blood test. Suppose that N (a large number) people are to be tested. This can be done... | 5 | [
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... | 30,843 | 30843 | |
inequalities
June 8th 2008, 01:48 AM
devanlevin
inequalities
seemingly simple problem i just cant seem to solve
sqrt(x+5)-sqrt(8-x)<=1
x>=5
x<=8
because of the square roots, i can assume that all numbers are possitive so i can open up by multiplying by the power of 2
x+5-2*sqrt(x+5)(8-x)+... | 4 | [
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0.0233154296875,
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0.083984375,
0.0576171875,
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0.06884765625,
-0.0084228515625,... | 30,844 | 30844 | |
Bound of Partial Sum of Partition Generating Function
up vote 3 down vote favorite
Let $p(n)$ be the integer partition. It is already known that for $0 < x < 1$, we have
$\sum_{j=0}^{\infty} p(j)x^j = \prod_{i=1}^{\infty}\dfrac{1}{1-x^{i}}$.
But what if the sum on the left side stops on some $k \geq 0$? That is, do ... | 5 | [
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0.0224609375,
-0.0... | 30,845 | 30845 | |
Isomorphism question
Quote:
In $G/<y^2>$, simply plug $y^2=1$ into your presentation of G. Then, the original presentation reduces to $<x, y|x^2 = y^2 = xyxy^{-1}=1>=<x, y|x^2 = y^2 = xyxy=1>$, where $y=y^{-1}$ since $y^2=
1$. It is exactly the presentation of D_4 of order 4 (See my previous reply). To con... | 5 | [
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0.019... | 30,846 | 30846 | |
Posts about de Rham on A Mind for Madness
I should first point out that I’m basically sketching out Grothendieck’s article on crystals in Dix Expose, so if you want to see more that’s where you should look. Let’s first answer those questions
from last time and explain exactly what it is that we are looking for in a coh... | 4 | [
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0.0032958984375,
-0.000408172607... | 30,847 | 30847 | |
partial fraction
February 15th 2007, 06:22 PM #1
Member
Joined
Nov 2005
Posts
172
partial fraction
integral ( (2x^{2}-x-20) / (x^{2} + x - 6) dx
since the powers from the demon and numer are the same, i have to divide...
got it to be 2 remainder -3x-8
so:
-3x-8 / (x+3)(x-2) = A/(x+3) + B... | 5 | [
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0.032958984375,
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-0.06005859375,
-0.029... | 30,848 | 30848 | |
A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 642318, 21 pages
http://dx.doi.org/10.1155/2012/642318
Research Article
A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Di... | 5 | [
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0.03173828125,
0.0341796875,
-0.04150390625,
0.027465820312... | 30,849 | 30849 | |
Extremly hard question! Its a Challenge!
let the digits be represented by letters. Then the palindrome is abcdefghhgfedcba For multiplication this means $a^2 b^2 c^2 d^2 e^2 f^2 g^2 h^2 = (a b c d e f g h)^2 = 16$ then abcdefgh = 4 possible
solutions: one letter = 4, up to 7 of the others equal 1 two letters equal 2, u... | 5 | [
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0.006378173828125,
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0.061279296875,
-0.04443359375,
-0.00312... | 30,850 | 30850 | |
Proposition 48
If in a triangle the square on one of the sides equals the sum of the squares on the remaining two sides of the triangle, then the angle contained by the remaining two sides of the triangle is right.
In the triangle ABC let the square on one side BC equal the sum of the squares on the sides BA and AC
... | 4 | [
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... | 30,851 | 30851 | |
Practice - Answer to Question 4
x + 2y = 8
x - 2y = 4 add
2x = 12
x = 6 answer for x
x + 2y = 8 substitute to get answer for x
6 + 2y = 8
2y = 2
y = 1
check:
x + 2y = 8
x - 2y = 4
x = 8 - 2y solve first equation for "x="
(8 - 2y) - 2y = 4 substitute into the second
8 - 2y - 2y = 4
8 - 4y = 4
-4y = -4
y = 1 answe... | 4 | [
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0.037353515625,
-0.111328125,
-0.... | 30,852 | 30852 | |
Find the equation of the tangent
January 15th 2012, 05:12 AM #1
Newbie
Joined
Jan 2012
Posts
1
Find the equation of the tangent
Find the equation of the tangent?
I got really stuck in some equations and I've been trying to figure out how to solve them for a long time now and would really appreciate h... | 5 | [
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0.05712890625,
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0.09375,
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0.0400390625,
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-0.07373046875,
-0.03857421875,
-... | 30,853 | 30853 | |
Scientia Agricola
Services on Demand
Article
Indicators
Related links
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Print version ISSN 0103-9016
Sci. agric. (Piracicaba, Braz.) vol.69 no.1 Piracicaba Jan./Feb. 2012
http://dx.doi.org/10.1590/S0103-90162012000100002
... | 4 | [
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0.0201416015625,
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Rhombus
The sides of a rhombus are 10cm long. If the lengths of the diagonals differ by 4, what is the area of the rhombus?
Hello, jumpman23! Quote: The sides of a rhombus are 10cm long. If the lengths of the diagonals differ by 4, what is the area of the rhombus? You're expected to know a few facts about a rhombus. .... | 4 | [
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taking the second derivative of a rational function
November 1st 2012, 05:11 PM #1
Member
Joined
May 2012
From
Toronto
Posts
240
Thanks
1
taking the second derivative of a rational function
Taking the second derivative of $x/(x+1)^{4}$
for the first derivative I got
$1-3x/(x+1)^5$
... | 5 | [
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0.02856445312... | 30,856 | 30856 | |
Bounded area (again)
May 29th 2009, 02:01 PM #1
Member
Joined
Nov 2008
Posts
114
Bounded area (again)
Hi guys, sorry I'm not having much luck with polar coords today, there's something about them that makes me make a lot of mistakes then be unable to find them :P
Anyway, we're looking at the curves
... | 5 | [
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Quantum Dynamics of Interacting Modes in Intracavity Third Harmonic Generation Process
ISRN Optics
Volume 2012 (2012), Article ID 476817, 12 pages
http://dx.doi.org/10.5402/2012/476817
Research Article
Quantum Dynamics of Interacting Modes in Intracavity Third Harmonic Generation Process
^1Moscow Institute of Physic... | 4 | [
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the encyclopedic entry of Estimator
In
statistics
, an
estimator
is a
function
of the observable sample data that is used to estimate an unknown population
parameter
(which is called the
estimand
); an
estimate
is the result from the actual application of the function to a particular
sample
of data. Many ... | 4 | [
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M06 Q9
Author Message
2
This post received
KUDOS
... | 4 | [
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inequalities
0≤a<b, prove that a^2≤ab<b^2. Also, show by example that it does not follow that a^2<ab<b^2
For the example assume a = 0 so b>0 $0^2<0<b^2$ which is false
Multiply both sides by $a$ $a<b \Rightarrow a^{2}\le ab$ since $a$ can be 0 Multiply both sides by $b$ $a<b \Rightarrow ab<b^{2}$ Hence $a^{2}\le ab<b... | 4 | [
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Graph Products and Its Applications in Mathematical Formulation of Structures
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 510180, 16 pages
http://dx.doi.org/10.1155/2012/510180
Research Article
Graph Products and Its Applications in Mathematical Formulation of Structures
^1Department of Structural ... | 4 | [
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Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing
Journal of Probability and Statistics
Volume 2013 (2013), Article ID 170967, 13 pages
http://dx.doi.org/10.1155/2013/170967
Research Article
Masses of Negative Multinomial Distributions: Application to Polarimetric Image Proces... | 4 | [
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Homework Help
Posted by Cas' on Sunday, January 16, 2011 at 2:33am.
When the sun's angle of elevation is 30 degree the shadow of a post is 6 ft longer than when the angle is 45
degree. find the height of the post
• trig - Reiny, Sunday, January 16, 2011 at 8:41am
let the height of the post be h ft, let the le... | 4 | [
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successive differentiation
Hello, prasum! The first derivative was hard enough. $\text{Find the }n^{th}\text{ derivative of: }\:y\;=\;\tan^{-1}\left(\frac{x\sin a}{1-x\cos a}\right)$ $\text{Let }\,\begin{Bmatrix}A = \sin a \\
B = \cos a \end{Bmatrix}\quad\text{ Note that: }\,A^2+B^2 \,=\,1$ We have: . $y \;=\;\tan^{-1}... | 5 | [
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Solve trig equation
April 18th 2006, 08:16 AM #1
Junior Member
Joined
Dec 2005
Posts
40
Solve trig equation
I can't get the correct ans for this question~~
Solve the equation for 0 deg <= theta <= 360 deg.
$<br /> \sin 5 \theta/ \sin \theta - \ cos 5 \theta/\cos \theta = 2<br />$
ling_c_02... | 4 | [
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Related rates, finding an angle.
March 27th 2011, 06:14 PM #1
Newbie
Joined
Mar 2011
Posts
3
Related rates, finding an angle.
I was trying to solve this problem:
A ladder 13ft long is leaning against a wall. It suddenly starts to slide away at the base of the ladder. When it is 12ft away from the wa... | 5 | [
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Optimal Positioning of Pseudolites Augmented With GPS
September 6, 2008
By Saka, M Halis
Finding an Optimum Location for a Fixed Pseudolite In Support of CPS Navigation in Poor Visibility Conditions Over the last decade or so, global positioning system (GPS) positioning has played an
escalating role in navigation... | 4 | [
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exponential decay
August 4th 2009, 04:47 PM #1
Member
Joined
Oct 2008
Posts
221
Each year, the population of endangered birds is reduced by 25%. If the current population is now 7500, in how many years will the population be 4000?
I got the answer 1.58 years...is this correct? What is the correct for... | 4 | [
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p value and confidence interval
July 7th 2006, 05:03 AM
bombo31
p value and confidence interval
In a random sample of ten cans of corn from supplier B, the average weight per can of corn was sample mean or x bar = 9.4 ounces with standard deviation s = 1.8 ounces. Does this sample contain
sufficient evidence... | 5 | [
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search results
Expand all Collapse all Results 1 - 2 of 2
1. CJM 2011 (vol 64 pp. 44)
Surfaces of Rotation with Constant Mean Curvature in the Direction of a Unitary Normal Vector Field in a Randers Space
We consider the Randers space $(V^n,F_b)$ obtained by perturbing the Euclidean metric by a translation, ... | 4 | [
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0.02... | 30,871 | 30871 | |
An Elementary School Maths Problem Sum
July 13th 2012, 04:22 AM #1
Junior Member
Joined
Aug 2010
Posts
37
An Elementary School Maths Problem Sum
Hi Guys,
I am stuck with this elementary school maths problem sum which looks relatively easy but i just simply cannot solve it !
Algebra method canno... | 4 | [
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0.0... | 30,872 | 30872 | |
Design matrices problem
September 16th 2007, 02:04 PM
almostperfect10
Design matrices problem
I'm a bit rusty on my linear algebra and was given this problem in my advanced linear models class.
Consider the use of two design matrices X and Z for estimating a curve based on the two models y = Xb + e1 and y =... | 4 | [
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0.03125,
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-0.0617675... | 30,873 | 30873 | |
How to: Use Linear Programming using the Solver Foundation Solver APIs
You can use linear programming to minimize or maximize functions. In this example, an oil refinery must procure crude oil from two sources. The objective is to minimize the purchase cost of crude
oils that differ in quality and to meet minimum prod... | 5 | [
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... | 30,874 | 30874 | |
Solving Trigonometry
November 20th 2011, 08:20 PM #1
Newbie
Joined
Nov 2011
Posts
2
Solving Trigonometry
1) When a pendulum 0.5m long swings back and forth, its angular displacement Ɵ from rest position, in radians is given by Ɵ=1/4sin((pi/2)t), where t is the time, in seconds. At what time(s)
during... | 4 | [
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0.... | 30,875 | 30875 | |
optimization question
April 20th 2008, 07:40 PM #1
Newbie
Joined
Apr 2008
Posts
9
optimization question
This one has been kicking my rear for too long so any help is appreciated.
A box (top included) is to be made to hold exactly 216 cubic inches. It is to have a square base. Find the dimensions of... | 4 | [
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0.005493164062... | 30,876 | 30876 | |
Chain Rule f(x)=(x+1)^3
Chain Rule f(x)=(x+1)3 Hey everyone. We’re going to do a couple of chain rule problems. And chain rule is a really basic concept that can apply to almost any kind of math problem. It’s an operation
like multiplication or division or what a square root means. So, it’s just kind of something funda... | 5 | [
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Physics Questions
On this page I put together a collection of physics questions to help you understand physics better. These questions are designed to challenge and inspire you to think about physics at a deeper
level.
To see the questions click on the category you are interested in:
High School Physics Questions Co... | 5 | [
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Portfolio Selection with Jumps under Regime Switching
International Journal of Stochastic Analysis
Volume 2010 (2010), Article ID 697257, 22 pages
http://dx.doi.org/10.1155/2010/697257
Research Article
Portfolio Selection with Jumps under Regime Switching
Department of Mathematics, University of Wales Swansea, Swans... | 4 | [
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... | 30,879 | 30879 | |
Linear Algebra; prove the theorems on left and right inverses.
June 14th 2008, 09:43 PM #1
Junior Member
Joined
Jun 2008
Posts
54
Linear Algebra; prove the theorems on left and right inverses.
Prove that if the matrix $A$ has a right inverse, then for each $b$
the equation $Ax = b$ has at least one s... | 5 | [
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mathschallenge.net
Concurrent Congruent Segments
Problem
In triangle $ABC$ equilateral triangles $ABX$, $BCY$, and $ACZ$ are constructed.
Prove that $AY = BZ = CX$ and that all three lines are concurrent at $O$.
Solution
We shall begin by showing that the three segments are congruent.
Consider triangle $AXC$ in t... | 4 | [
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A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 879196, 9 pages
http://dx.doi.org/10.1155/2014/879196
Research Article
A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold
^1College of Science, Henan University of Technology... | 4 | [
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Estimation of Static Pull-In Instability Voltage of Geometrically Nonlinear Euler-Bernoulli Microbeam Based on Modified Couple Stress Theory by Artificial Neural Network Model
Advances in Artificial Neural Systems
Volume 2013 (2013), Article ID 741896, 10 pages
http://dx.doi.org/10.1155/2013/741896
Research Article
E... | 4 | [
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0.0771484375,
-0.048095703125,
0.0556640625,... | 30,883 | 30883 | |
algebra, solve x
February 6th 2007, 12:16 AM
desmon
algebra, solve x
Hi,
heres the question i was working on, which originally asked to add some algebraic fractions. That part was fine but I'm asked to find x and am stuck here.
3x^2 + 5x - 2
------------- = 0
3x^2 + 2x
Any help is greatl... | 4 | [
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-... | 30,884 | 30884 | |
Solve A in Ax = b
June 26th 2011, 11:44 PM #1
Newbie
Joined
Jun 2011
Posts
5
Solve A in Ax = b
If I have to vectors x and b, how can I solve matrix A in Ax = b? Or is this not possible?
Eg:
Code:
Ax = b
[a0, a1, a2, a3][x] = [x']
[b0, b1, b2, b3][y] [y']
x, y, x' and y' are... | 5 | [
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0.01385498046875,
0.0... | 30,885 | 30885 | |
Fourier coefficients
December 30th 2008, 08:21 AM #1
Newbie
Joined
Dec 2008
Posts
23
Fourier coefficients
Why there is no integrable complex valued function that has the following Fourier coefficients a_k = 1/k for k >= 1, and a_k = 0 otherwise?
Thanks
Alexei
Are you refering to complex ... | 4 | [
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0.033935546875... | 30,886 | 30886 | |
Proving question
March 28th 2009, 08:37 PM
noob mathematician
Proving question
Since E[Y] = E[E[Y/X]], can i infer that Y = E[Y/X]? Therefore i conclude that:
Cov(X, E[Y/X])
= E[(X - E[X])(E[Y/X] - E[E[Y/X]])]
= E[(X - E[X])(Y- E[Y])]
= Cov(X, Y)
Thanks in advance!
March 29th 2009, 09:47 A... | 4 | [
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Easy character theory proof
April 4th 2010, 11:30 AM
brisbane
Easy character theory proof
Let u: G x S -> S and v: G x T -> T be two actions of a finite group G on two finite sets S and T. Let w: G x (S x T) -> (S x T) be defined by:
w(g,(x,y))=(u(g,x),v(g,y)) for all (x,y) in (S x T) and all g in G.
L... | 5 | [
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-0.006683349609375... | 30,888 | 30888 | |
Math Help
May 5th 2009, 09:12 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
a and b
If a and b are positive numbers, explain how the value of
(sqrt{a}*sqrt{b})^2 compares with the value of a + b.
I used FOIL and ended up with a + 2(sqrt{ab}) + b, which does not equal a + b.
... | 4 | [
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... | 30,889 | 30889 | |
Help required to solve an Arithmatic progression problem
July 1st 2011, 01:15 AM #1
Newbie
Joined
Jun 2011
Posts
7
Help required to solve an Arithmatic progression problem
The sum of the first p terms of an AP in equal to the sum of the
first q terms.Prove that sum of the first p+q terms of the same
... | 4 | [
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Can you Check This please?
September 15th 2013, 07:44 AM
tdotodot
Can you Check This please?
Need someone to check this and go over it with me please.
Equation in factored form for a polynomial?
1. Determine an equation in factored form for a polynomial function with zeros -1 (order 2) and 3 (order 3)... | 4 | [
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... | 30,891 | 30891 | |
[SOLVED] Every Subgroup of Dn of Odd order is cyclic
March 4th 2010, 10:14 PM #1
[SOLVED] Every Subgroup of Dn of Odd order is cyclic
Prove that any subgroup of $D_n$ of odd order is cyclic.
So far I have:
Let $H \leq D_n$
Let $r$ denote a simple rotation such that $r^n = e,$ and let $f$ denote a ver... | 5 | [
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Trig Substitution Help
March 1st 2009, 08:02 PM #1
Junior Member
Joined
Sep 2008
Posts
30
Trig Substitution Help
I got the problem down to
(1/2)y + (1/4)sin2y
the sub I used was x = siny
how do i sub back to X?
I know the first part is sin inverse by how do i get the 2nd part?
If yo... | 5 | [
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Square roots subtraction
September 12th 2010, 11:45 AM
Joaco
Square roots subtraction
I have a problem that says
√x+8) - √x-4) = 2
I don't know how to continue with this problem...
Thank you in advance.
September 12th 2010, 11:52 AM
e^(i*pi)
Quote:
Do you mean
A. $\sqrt{x+8} - \... | 4 | [
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0.05126953... | 30,894 | 30894 | |
Math Help
August 27th 2009, 11:32 AM #1
Newbie
Joined
Aug 2009
Posts
6
Need Help!
I don't completely understand this.
multiply and simplify
36y^2 * 3y-12
3y^2-24y+48 6y
here is what I understand
(36y^2)(3y-12)
(3y^2-24y+48)(6y)
(36y^2)3(y-4)
3(y^2-8y+16)(6y)
wha... | 4 | [
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0.10156... | 30,895 | 30895 | |
Problems on characteristics
May 18th 2010, 09:24 PM #1
Newbie
Joined
May 2010
From
Atlanta, GA
Posts
9
Obtain a solution of
u_t + u_x = t^a, where a = alpha, and a > 0.
given that u = u_0(x) on t = t0
Characteristic equation
$\frac{dt}{1} = \frac{dx}{1} = \frac{du}{t^\alpha}$
... | 5 | [
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Modeling of Viscosity and Thermal Expansion of Bioactive Glasses
ISRN Ceramics
Volume 2012 (2012), Article ID 816902, 5 pages
http://dx.doi.org/10.5402/2012/816902
Research Article
Modeling of Viscosity and Thermal Expansion of Bioactive Glasses
Department of Materials Engineering, University of Technology, Baghdad ... | 4 | [
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Find 90% confidence interval
June 11th 2009, 06:32 AM #1
Newbie
Joined
Jun 2009
Posts
18
Find 90% confidence interval
Random sample of math scores assumed to be $N(\mu_{x},\sigma^{2})$: X1=644, X2=493, X3=532, X4=462, X5=565
Random sample of verbal scores assumed to be $N(\mu_{y},\sigma^{2})$: Y1=623... | 5 | [
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The Chi-square Test of Independence.
The Chi-square Test of Independence.
The chi-square test of independence is used to test whether two populations or variables are related or independent to each other with
respect to some characteristic.
1. Know when to use the chi-square test for independence.
The chi-square te... | 5 | [
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