content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Optimizing a rectangle
March 16th 2009, 05:17 PM #1
Newbie
Joined
Feb 2009
Posts
5
Optimizing a rectangle
A rectangle has a constant area of 200 square meters and its length L is increasing at the rate of 4 meters per second
1)Find the width W at the instant the width is decreasing at the rate of .5 ... | 5 | [
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0.07958... | 16,700 | 16700 | |
need help with equivalence class
December 17th 2008, 11:44 PM #1
Junior Member
Joined
Nov 2008
Posts
50
need help with equivalence class
For x belonging to Z, let us denote by [x] equivalence class which contains x. Prove that if [x]=[x'] and [y]=[y'] then [x+y]=[x'+y'] and [xy]=[x'y']
Remark: When x... | 4 | [
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... | 16,701 | 16701 | |
Counter-intuitive? or...
April 2nd 2007, 07:20 AM
DivideBy0
Counter-intuitive? or...
A car travels from point X to point Y. It travels at 30 km/h up to halfway and at 20 km/h for the rest of the journey. What is the car's average speed?
The answer seemed pretty simple at first, I mean, it's got to be 25 km/... | 4 | [
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0.0116... | 16,702 | 16702 | |
I can't seem to make Euclidean work backwards either. :/
September 30th 2008, 08:08 AM
aeval
I can't seem to make Euclidean work backwards either. :/
Use the extended Euclidean algorithm to find 198^-1 mod 257.
Here's what I have:
257 = 198 x 1 + 59
198 = 59 x 3 + 21
59 = 21 x 2 + 17
21 = 1... | 5 | [
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0.0546875... | 16,703 | 16703 | |
prove limsup-liminf<2
December 5th 2011, 11:49 AM
wopashui
prove limsup-liminf<2
Suppose that there exists $N \in N$, such that $|a_n-a_m|<1$for all $n,m>=N$ (this will be true, in particular, if $(a_n)$ is cauchy). Prove that $(limsup_{n-->\infty}a_n)-(liminf_{n-->\infty}
a_n)$$<=2$.
it seems like an e... | 5 | [
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hermitian matrix over C
March 1st 2011, 10:07 PM #1
Newbie
Joined
Jan 2011
Posts
8
hermitian matrix over C
Do anyone has an example of nxn hermitian matrix with complex entries which has repeated eigenvalues?
If can make the n as small as possible. Thank you
But if I would like to have entries s... | 5 | [
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0.02966... | 16,705 | 16705 | |
Problem With A Sequence Proof
March 9th 2007, 10:54 AM #1
Junior Member
Joined
Aug 2006
Posts
56
Problem With A Sequence Proof
The theorem for finding the sum of n terms of an Arithmetic Sequence is:
Sn = n/2[ 2a + (n - 1)d ] = n/2(a + an)
However, I am having a problem with the proof of this ... | 4 | [
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limit proof
September 20th 2008, 12:14 PM #1
Member
Joined
Nov 2006
Posts
142
limit proof
I have that the limit of f(x) as x goes to c exists and that the limit of g(x) as x goes to c does not exist.
How do I prove that the limit of h(x) as x goes to c does not exist (where h = f + g)?
What can... | 4 | [
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... | 16,707 | 16707 | |
A right circular cone, twice as tall as it is wide at its
Author Message
TAGS:
A right circular cone, twice as tall as it is wide at its [#permalink] 06 Oct 2009, 2... | 4 | [
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Quotient Groups - Dummit and Foote, Section 3.1, Exercise 17
November 19th 2013, 11:01 PM
Bernhard
Quotient Groups - Dummit and Foote, Section 3.1, Exercise 17
I am reading Dummit and Foote Section 3.1: Quotient Groups and Homomorphisms.
Exercise 17 in Section 3.1 (page 87) reads as follows:
----------... | 4 | [
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Poisson regression fitted by glm(), maximum likelihood, and MCMC
The goal of this post is to demonstrate how a simple statistical model (Poisson log-linear regression) can be fitted using three different approaches. I want to demonstrate that both frequentists and
Bayesians use the same models, and that it is the fitti... | 5 | [
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-0.... | 16,710 | 16710 | |
y^2+3xy-10x^2+y+5x=0 solving guide lines
y^2+3xy+10x^2+y+5x=0 Any one got any tips on how to solve that one in y? It has been buging me.
a4swe $y^2+y(3x+1)+(10x^2+5x)=0$ Thus, $y=\frac{-3x-1\pm \sqrt{(3x+1)^2-4(10x^2+5x)}}{2}$ Thus, $y=\frac{-3x-1\pm \sqrt{9x^2+6x+1-40x^2-20x}}{2}$ Thus, $y=\frac{-3x-1\pm \sqrt{-31x^2... | 4 | [
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Partial differential: partial scalar partial vector
Havik
Hi,
I have a problem to find the meaning of a special partial differential: partial scalar partial vector.
i.e. dF/dn where F is a scalar and n is a i.e. normal vector. This is a partial diff.
n could be a vector consisting of partial differentials, (dT/dx... | 4 | [
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Random Loewner Chains
Random Loewner Chains
Abstract (Summary)
This thesis contains four papers and two introductory chapters. It is mainly devoted to problems concerning random growth models related to the Loewner differential equation.In Paper I we derive a
rate of convergence of the Loewner driving function for l... | 4 | [
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Progressions
April 30th 2010, 08:05 PM
yshridhar
Progressions
If 1, log x (base y), log y (base z), -15 log z (base x)
are in AP, then
a) z^3 = x
b) x = y^-1
c) z^-3 = y
d) all of these
Regards
Sreedhar
April 30th 2010, 11:53 PM
hollywood
Let the common difference be d. Then t... | 4 | [
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Factors
If you want to find a square root of a (mod p) use the Shanks-Tonelli algorithm.
# Calculate the least non-negative remainder when an integer a
# is divided by a positive integer b.
sub mod {
my ($a, $b) = @_;
my $c = $a % $b;
return $c if ($a >= 0);
return 0 if ($c == 0);
return ($... | 4 | [
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0... | 16,715 | 16715 | |
Continuity & inverse image of closed sets being closed
March 8th 2009, 11:07 AM #1
Continuity & inverse image of closed sets being closed
Question: Let $f$ be a function defined on a closed domain $D$. Show that $f$ is continuous if and only if the inverse image of every closed set is a closed set.
One appro... | 4 | [
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Determine parameters for constant area rate of change
February 3rd 2010, 08:01 AM #1
Newbie
Joined
Feb 2010
Posts
3
Determine parameters for constant area rate of change
A hollow cylinder's internal radius is expanding at a constant rate (b) {the external radius is fixed} and each end of the cylinder is ... | 5 | [
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Convergence Theorems for a Common Point of Solutions of Equilibrium and Fixed Point of Relatively Nonexpansive Multivalued Mapping Problems
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 859598, 16 pages
http://dx.doi.org/10.1155/2012/859598
Research Article
Convergence Theorems for a Common Point of So... | 5 | [
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what does it mean when a solid object is symmetric about a plane?
August 25th 2010, 02:27 PM
x3bnm
what does it mean when a solid object is symmetric about a plane?
Suppose a region in the first octant is bounded by the coordinate planes and the plane $x+y+z=2$
and the density of the solid is $\delta(x,y,z) ... | 5 | [
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present value of an ordinary simple annuity
March 29th 2010, 12:10 PM #1
Member
Joined
Nov 2008
From
windsor ont cAN
Posts
87
present value of an ordinary simple annuity
Calculate the future value of an ordinary annuity consisting of quarterly payments of $1200 for five years if the payments earn 10%... | 4 | [
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Integral of (e^-x^2)
November 12th 2012, 03:42 PM
IsomaDan
Integral of (e^-x^2)
The function, p(x;y), of two variables is defined for x>y>0, and satisfies
We furthermore know that dp(x,y)/dx = (e^-x^2)
and that p(y; y) = 0
I now need to write p(x,y) as a definite integral. I suppose I need the inf... | 5 | [
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Finding inverse function
December 6th 2009, 06:12 PM
acc100jt
Finding inverse function
In the theory of relativity, the mass of a particle with velocity v is
$m=f(v)=\frac{m_{0}}{\sqrt{1-\frac{v^2}{c^2}}}$
where $m_{0}$ is the rest mass of the particle and c is the speed of light in vacuum. Find the in... | 4 | [
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0.040283203125,
0.05... | 16,722 | 16722 | |
[SOLVED] multivariable calc chain rule. find my error..
September 28th 2009, 10:19 AM #1
Member
Joined
Nov 2008
From
MD
Posts
165
use the chain rule to find the derivative of g(f(x)) at the indicated point a.
g(x,y)= (x^2 * y^3, 3x-y^2)
f(x,y)= (-y,x)
a=(3,2)
i did:
D(g) matrix
... | 4 | [
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... | 16,723 | 16723 | |
Finding angle/ Double angle formula
May 29th 2009, 06:35 AM #1
Newbie
Joined
Jan 2009
Posts
19
Finding angle/ Double angle formula
I am studying for a test and cannot figure out how to do these two questions.
1. Find the angle,θ, between the positive x-axis and a line segment joining the origin and ... | 4 | [
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... | 16,724 | 16724 | |
Strength calculations of threaded spindle.
I have to assess the sizing of a spindle of a DN600 Knife gate valve.
The spindle is subjected to two sources of loading acting in both shear and tensile.
•Torque applied to the spindle.
•Resulting thrust from line pressure.
Known data:
Required thrust at 2 bar line pressure:... | 5 | [
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e Pressure Drop
Pipe Pressure Drop Calculations
• Friction between the fluid and the wall of the pipe
• Friction between adjacent layers of the fluid itself
• Friction loss as the fluid passes through any pipe fittings, bends, valves, or components
• Pressure loss due to a change in elevation of the fluid (if... | 4 | [
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0.07568... | 16,726 | 16726 | |
ll this
April 12th, 2009 at 9:18 pm by Dr. Drang
A couple of days ago I saw this poster of time traveler hints via a tweet by @gnomedad. It’s cute, but
• It seems to assume you won’t be traveling back any earlier than the Victorian age. Most of the hints are worthless without an infrastructure developed by the Indu... | 4 | [
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-0.00384521484375,
-0.0849609375,
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0.07470703125,
0.010... | 16,727 | 16727 | |
Wolfram Demonstrations Project
Chebyshev Spectral Differentiation via Fast Fourier Transform
Consider the function with derivative . This Demonstration uses Chebyshev differentiation via Fast Fourier Transform (FFT) [1] to estimate at the Chebyshev–Gauss–Lobatto points. You can change the
number of interior points, . ... | 4 | [
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Tangent of a Circle
July 19th 2008, 09:54 PM #1
Newbie
Joined
Jan 2008
Posts
11
Tangent of a Circle
The question is
Find the equation of the tangent and normal to the circle x^2 + y^2 = 13 at the point t(-2,3)
I was thinking about this question and would the tangent be perpendicular to the stra... | 4 | [
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Integral of tan^5(x)dx
September 25th 2009, 12:49 PM #1
Junior Member
Joined
Mar 2009
Posts
41
Integral of tan^5(x)dx
I can't seem to find the integral of tan^5(x)
I know that i have to use identities for this, but I've been looking at this problem for a while now and cant see where to go with it
... | 5 | [
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[SOLVED] Trig equation - Why can't I get it right?!?
May 4th 2010, 10:34 AM #1
Junior Member
Joined
Apr 2010
Posts
29
Hi. I've been trying to solve this trig. equation 4sin4t + 3cos4t = 0. The answer is meant to be t = $\frac{\pi}{4}-\frac{1}{4}\arctan(\frac{3}{4})$
$<br /> 4sin4t + 3cos4t = 0<br />$... | 5 | [
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rearrange equation
How would you rearrange: v=1/3x²h to make x the subject? Thanks
Hello, Is it $v=\frac 13 \cdot x^2h$ or $v=\frac{1}{3x^2h}$ ?
It's a third Also found another 2: 1. It's just the quadratic formula without the +- thing to make c the subject. 2. S=2пr²+2пrh to make h the subject Thanks
$v=\frac 13 \c... | 4 | [
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Solving Diff Eq with initial conditions and first 6 coefficients...
March 18th 2013, 09:27 AM
landers
Solving Diff Eq with initial conditions and first 6 coefficients...
I need some help here because I am completely lost!!!
I need to solve the ODE (1-x)y''-y'+xy=0 using the initial conditions of y(0)=1, y'(... | 5 | [
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graph theory, chromatic number relation
May 4th 2009, 04:35 AM #1
graph theory, chromatic number relation
Let G be a simple graph with v vertices and every vertex of degree d. Show that $\chi (G) \geq \frac{v}{(v-d)}$
where $\chi (G)$ is the chromatic number, the least k for which the graph G is k-colourable... | 5 | [
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Chain Rule Derivative (Finding the equation for the tangent line)
October 22nd 2007, 03:33 PM #1
Chain Rule Derivative (Finding the equation for the tangent line)
The equation is $y = x^2 e^{-x}$ with the point $(1, 1/e)$
I used the chain rule (I hope I used it correctly)
$f(x) = x^2$ , $f'(x) = 2x$
... | 5 | [
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-0.06054687... | 16,735 | 16735 | |
How to Find Equations of Tangent Lines | The Classroom | Synonym
A tangent line touches a curve at one and only one point. The equation of the tangent line can be determined using the slope-intercept or the point-slope method. The slope-intercept equation in
algebraic form is y = mx + b, where "m" is the slope of the l... | 4 | [
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Math Help
If someone would take the time to help me, that'd be greatly appreciated. I don't get any of it.
number 13: a) AP=x meaning RP=2+x using similar triangles, $\frac{AP}{AB} = \frac{RP}{QR}$ implying $\frac{x}{1} = \frac{2+x}{QR}$, so $QR = \frac{2+x}{x}$ b) L(x) is the length.. using Pythagorean
Thm, $[L(x)]^... | 5 | [
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Patent US5140634 - Method and apparatus for authenticating accreditations and for authenticating and signing messages
This is a continuation of application Ser. No. 07/704,891, filed on Feb. 22, 1990 which is a continuation of Ser. No. 07/241,527, filed on Sep. 7, 1988, both abandoned.
BACKGROUND TO THE INVENTION
The... | 4 | [
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0.0180... | 16,738 | 16738 | |
Patent US7336750 - Optimal one-shot phase and frequency estimation for timing acquisition
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of Provisional Application No. 60/428,507, filed Nov. 22, 2002, and Provisional Application No. 60/434,584, filed Dec. 17, 2002. This application incorpo... | 4 | [
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Dirichlet Characters, Gauss Sums, and Inverse Z Transform
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 821949, 9 pages
http://dx.doi.org/10.1155/2012/821949
Research Article
Dirichlet Characters, Gauss Sums, and Inverse Z Transform
^1Department of Mathematical Sciences, Xi'an Jiaotong University, Xi'... | 5 | [
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-0.00643... | 16,740 | 16740 | |
Patent US4257991 - Method of and a regulator for adjusting the capacity and the diameter of an electric conductor
The present invention relates to coating of an electric conductor with an insulation of foamed plastics in a cable insulation line. A bare wire is passed from a starting coil to a drawing machine
where the ... | 5 | [
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parallel lines
August 18th 2009, 11:09 PM #1
Newbie
Joined
Aug 2009
Posts
21
parallel lines
If a set of 10 parallel lines are intersected by a set of 13 other parallel lines,then find the number of parallelograms formed?
I m not able to undertsand the question ..is there a standard formula for this ... | 4 | [
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Two functions in a differential equation
June 13th 2013, 12:36 AM #1
Newbie
Joined
Jun 2013
From
United Kingdom
Posts
1
Two functions in a differential equation
Hi All
I am trying to solve equation 12 in the picture in order to get the function for h+, this is necessary to compute a model.
Th... | 4 | [
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Amazon.com - If you had 5,623 participants in a tournament, how many games would need to be played to determine the winner
Amazon.com
This employer has taken extra steps to respond to reviews and provide job seekers with accurate company information, photos, and reviews. Interested for your company?
Learn More
.
Am... | 5 | [
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Patent US7590265 - System and method for extracting reflection and transparency layers from multiple images
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a division of a prior application entitled “SYSTEM AND METHOD FOR EXTRACTING REFLECTION AND TRANSPARENCY LAYERS FROM MULTIPLE IMAGES” which was assigne... | 4 | [
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0.... | 16,745 | 16745 | |
Patent US7043519 - SIMD sum of product arithmetic method and circuit, and semiconductor integrated circuit device equipped with the SIMD sum of product arithmetic circuit
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a sum of product arithmetic technique, and more particularly... | 4 | [
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"Riemann-Stieltjes derivative" ?
up vote 1 down vote favorite
1
Can you define a "derivative" operator such that its antiderivative F(x) of f(x) can be used in the sense of F(b)-F(a) to calculate the Riemann-Stieltjes integral of f(x)?
Perhaps it would be related to the $\Delta$-derivative in time scale calculus.
Th... | 5 | [
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0.0893... | 16,747 | 16747 | |
Integration by trig substitution
March 8th 2009, 12:14 AM #1
Integration by trig substitution
I need to show that $\int {\frac{x}{{{x^2}+4}}dx} <br /> =\frac{1}{2}\ln \left( {{x^2} + 4} \right) + c<br />$ using trig substitution.
I've tried the following:
$\begin{array}{l}<br /> x = 2\tan \theta , dx = ... | 5 | [
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0.06298828125,
-0.0629... | 16,748 | 16748 | |
Sylow Subgroups
May 17th 2009, 01:51 AM #1
Sylow Subgroups
I'm not sure with the following:
(1) What is the order of every Sylow 5-subgroup of $A_5 \times A_5$ ?
(2) Let G and H be arbitrary finite groups. Prove that every sylow p-subgroup of $G \times H$ has the form $P_1 \times Q_1$ where $P_1$ is a s... | 5 | [
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-0.0228271... | 16,749 | 16749 | |
Number Theory
February 16th 2010, 04:03 PM
meshel88
Number Theory
Let n and a be positive integers and let p be a prime number. The p^a is said to exactly divide n. If p^a exactly divides n and p^a+1 does not exactly divide n. Assume p^a exactly divides m and p
^b exactly divides n.
What power of p exac... | 4 | [
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0.00238037109375,
-0... | 16,750 | 16750 | |
Help working out a Taylor series of cos3x
March 31st 2011, 12:09 PM #1
Help working out a Taylor series of cos3x
I've just covered Taylor polynomials and series theory, but there are precious few examples so i'm trying to do the following exercise:
Compute Taylor series of f(x) = cos 3x at pi/12
My atte... | 5 | [
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Find rectangle with largest area
June 21st 2008, 02:11 PM
PensFan10
Find rectangle with largest area
I attempted to solve this problem. I just want to make sure that I did it properly.
The parabola is y=8-x^2
Rectangle = 2x(8-x^2)
=16-6x^2 (i got this by first distributing 2x then finding the deriva... | 4 | [
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-0.... | 16,752 | 16752 | |
Algebra or Algebra 2 Equation Help Please?
May 11th 2010, 12:55 PM
DumbCPA
Algebra or Algebra 2 Equation Help Please?
So, I cannot find the appropriate equation to solve the following word problem:
Ernie owns 20% of a partnership that owns 76.3% of a house. The other 23.7% is owned by Sonny. Ernie wants to ... | 4 | [
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0.04125976562... | 16,753 | 16753 | |
Hypothesis testing problem
March 21st 2010, 11:51 AM #1
Newbie
Joined
Mar 2010
Posts
2
Hypothesis testing problem
At one office, the average amount of time that workers spend using computers is 21.6 hours with a standard deviation of 2.8 hours. One year later, hypothesis test was done to determine whethe... | 5 | [
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Distributed Control of Mobile Sensor Networks under RF Connectivity Constraints
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 741821, 7 pages
http://dx.doi.org/10.1155/2012/741821
Research Article
Distributed Control of Mobile Sensor Networks under RF Connectivity Constraints
De... | 4 | [
-0.0159912109375,
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-0.07910156... | 16,755 | 16755 | |
Functions of class $C^{1}$?
May 2nd 2011, 08:20 PM #1
Functions of class $C^{1}$?
Dear MHF members,
the problem is the following.
Show that the functions
$u(x):=\int_{0}^{\infty}\dfrac{\mathrm{e}^{-t} \sin(tx)}{\sqrt{t}}\mathrm{d} t$
and
$v(x):=\int_{0}^{\infty}\dfrac{\mathrm{e}^{-t} \cos(tx)... | 5 | [
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0.01806640625,
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0.004974365234375,
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-0.05810546875,
0.027099609375,
-0.134765625,
... | 16,756 | 16756 | |
Help with Force Problem.
September 7th 2006, 05:16 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Help with Force Problem.
Two traffic signals are temporary suspended from a cable as shown. Knowing that the signal B weighs 300 Newtons, determine the weight of sign... | 5 | [
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0.00531005859375,
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0.08154296875,
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0.10888671875,
0.00775146484375,
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-0.034423828125,
-0.0791015625,
0.1162109375,
-0.008544921875,
-0... | 16,757 | 16757 | |
Trig Identities
May 14th 2007, 04:10 AM #1
Trig Identities
Given that z = cos@ + isin@, where -pie < @ < pie, show that
1 + z = 2cos^2(@/2) + 2isin(@/2)cos(@/2).
Hence show that mod( 1 + z) = 2cos(@/2)
1=cos0+isin0
1+z=(cos0+isin0)+(cos@+isin@)
=(cos@+cos0)+i(sin@+sin0)
=2cos((@+0)/2)co... | 4 | [
-0.06982421875,
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0.05810546875,
-0.01519775390625,
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0.076171875,
-0.10546875,
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0.06298828125,
-0.035400390625,
-0.0810546875,
0.048095703125,
-0.0091552734... | 16,758 | 16758 | |
Trapezium rule integration
August 2nd 2009, 08:44 AM
struck
Trapezium rule integration
Find approximations to the value of:
$\int_{1}^5 \frac{1}{x^2} dx$
Using the trapezium rule with 4 intervals.
Now I know that it's calculated using the formula:
$\frac{h}{2} (f(x_{0}) + f(x_{n})) + 2(f(x_{1... | 4 | [
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0.068359375,
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0.0228271484375,
-0.03662109375,
-0.056884765625,
0.0220947265625,
-0.06689453125,
-0.0361328125,
0.060546875,
-0.00274658203125,
-0.05... | 16,759 | 16759 | |
How to solve ODE for independent function
August 10th 2011, 12:39 PM #1
Newbie
Joined
Aug 2011
Posts
3
How to solve ODE for independent function
Hello,
I need to solve numerically an equation of the form
v(t) = k1*z(t)*w(t)-k2*i(t)-k3*di(t)/dt
The issue is that rungekutta methods are usefu... | 4 | [
-0.1650390625,
0.0174560546875,
-0.0341796875,
0.045654296875,
-0.0174560546875,
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-0.0159912109375,
-0.0390625,
-0.00885009765625,
0.0164794921875,
-0.00811767578125,
-0.038330078125,
0.00238037109375,
-0.0162353515625,
-0.0252685546875,
0.00897216796875,
0.01324462890... | 16,760 | 16760 | |
Help solve this related rate problem
June 18th 2009, 12:23 AM
zEr0ne
Help solve this related rate problem
A conical pendulum consists of a mass m, attached to a string of fixed length L, that travels around a circle of radius r at a fixed velocity v. As the velocity of the mass is increased, both the
radius ... | 5 | [
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0.06005859375,
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0.0576171875,
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0.0272216796875,
-0.0152587890625,
0.05444335937... | 16,761 | 16761 | |
Another fraction inequality
January 9th 2009, 02:37 PM #1
Newbie
Joined
Dec 2008
Posts
11
Another fraction inequality
Question is :
x > 6/x-1
I get up to the point (bit too messy to type) where i'm stuck with x^3 and I have no idea what to do with it. Walk through will be appreciated!
Tha... | 4 | [
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0.056884765625,
-0.009765625,
-0.00335693359375,
0.0625,
-0.03173828125,
-0... | 16,762 | 16762 | |
Basis of set of skew symmetric nxn matrices
Start counting. I hope you know that the dimension of the space of all nxn matrices is n^2 because you can take any one of the n^2 entries 1, the other 0, to get a basis matrix.
There is no such thing as "the" basis for a vector space- any vector space has an infinite number... | 4 | [
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-0.07666015625,
0.048583984375,
-0.033447265... | 16,763 | 16763 | |
problem of quadratic equation with two variables
August 16th 2011, 07:13 PM #1
Junior Member
Joined
Aug 2011
Posts
43
problem of quadratic equation with two variables
If 3x2+2αxy+2y2+2ax-4y+1 can be resolved into two linear factors, prove that α is the root of the equation x2+ 4ax+2a2+6=0.
please do... | 4 | [
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0.06640625,
-0.0712890625,
-... | 16,764 | 16764 | |
Simple antiderrivative
Mental block on antiderrivating the integral from one to infinity of 1/(square root of x+1). Thanks!
this is an improper integral, so we have to use limits when evaluating it. for the anti derivative, we use substitution. int{0-->infinity} [1/sqrt(x + 1)]dx = int{0-->infinity} [(x + 1)^(-1/2)]dx... | 5 | [
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0.040771484375,
-0.041... | 16,765 | 16765 | |
Introduction to Robotics #3: Forward and Inverse Kinematics
In order to plan a robot’s movements, we have to understand the relationship between the actuators that we can control and the robot’s resulting position in the environment. For static arms, this is
rather straightforward: if we know the position/angle of each... | 4 | [
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0.007080078125,
0.... | 16,766 | 16766 | |
Interval-Valued Vague Soft Sets and Its Application
Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 208489, 7 pages
http://dx.doi.org/10.1155/2012/208489
Research Article
Interval-Valued Vague Soft Sets and Its Application
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebang... | 5 | [
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0.0576171875,
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0.01214599609375,
0.06201171875,
-0.... | 16,767 | 16767 | |
Patent US7961232 - Calculating interpolation errors for interpolation edge detection
PRIORITY CLAIM
This application is a continuation of Ser. No. 10/752,462 titled “Fast Edge Directed Demosaicing” and filed Jan. 5, 2004, now U.S. Pat. No. 7,525,584, whose inventor was Darian Muresan and which is
hereby incorporated b... | 4 | [
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-0.00099945068359375,
0.06982421875,
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-0.10546875,
0.018310546875,
-0.079101562... | 16,768 | 16768 | |
vectors? a+b 100x greater than a-b
January 18th 2007, 10:26 PM
thedoge
vectors? a+b 100x greater than a-b
Two vectors A and B have precisely equal magnitudes. In order for the magnitude of A + B to be 100 times larger than the magnitude of A - B, what must be the angle between them?
I don't even know where ... | 4 | [
-0.06689453125,
0.0162353515625,
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-0.1025390625,
-0.01263427734375,
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0.0172119140625,
-0.0091552734375,
0.0439453125,
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0.0057373046875,
0.0294189453125,
0.058349609375,
0.0303955078125,
0.039794921875,
-0.02209472656... | 16,769 | 16769 | |
How to find the unknown deviation from this problem!
January 29th 2013, 04:11 AM
Danthemaths
How to find the unknown deviation from this problem!
I am a bit stuck on how to find the standard deviation of this question. I know the formula u need to use: x-(x bar) / Z .. But I dont know how to find the Z score!
... | 5 | [
0.033935546875,
0.059326171875,
0.058349609375,
0.0140380859375,
-0.005615234375,
0.04541015625,
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0.0703125,
-0.068359375,
0.047607421875,
0.0272216796875,
0.031494140625,
0.10205078125,
0.0419921875,
0.0272216796875,
0.04736328125,
-0.0181884765625,
-0.02258300781... | 16,770 | 16770 | |
o
Crocheting the Hyperbolic Plane
updated version is published in
Mathematical Intel... | 4 | [
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... | 16,771 | 16771 | |
Moment generating function of the negative binomial distribution.
February 13th 2009, 05:07 PM
synclastica_86
Moment generating function of the negative binomial distribution.
I am trying to find the moment generating function for the negative binomianl distribution. I know that it's baiscly finding <e^ty>. I th... | 5 | [
-0.01226806640625,
0.048583984375,
0.0228271484375,
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0.012939453125,
0.020751953125,
0.1103515625,
0.03466796875,
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0.06689453125,
0.08544921875,
0.036376953125,
0.0007476806640625,
-0.047... | 16,772 | 16772 | |
Find polar coordinates
December 10th 2009, 07:24 PM #1
Member
Joined
Apr 2009
Posts
85
Find polar coordinates
Hey I am not sure how to find the second coordinate of these polar coordinates.
a) Find polar coordinates (r, θ) of the point (4, -4), where r > 0 and 0 ≤ θ ≤ 2π.
So $r= \sqrt{(4)^2+(4)... | 4 | [
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-0.007598876953125,
-0.0625,
... | 16,773 | 16773 | |
Course Content and Outcome
Course Content and Outcome Guide for MTH 112
Course Number:
MTH 112
Course Title:
Elementary Functions
Credit Hours:
5
Lecture Hours:
50
Lecture/Lab Hours:
0
Lab Hours:
0
Special Fee:
Course Description
Investigates trigonometric functions, equations and identities.... | 4 | [
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0.044189453125,
0.029296875,
-0.072265625,
-0.01324462890625,
-0.05883789... | 16,774 | 16774 | |
Which distributions have these MGFs?
October 31st 2009, 04:20 PM #1
Newbie
Joined
Oct 2009
Posts
24
Which distributions have these Moment Generating functions?
M1(t)= (1/256) (1 + e^t) ^ 8
M2(t)= ( e ^ 2t) / [ ( 2 - e^t) ^ 2 ]
M3(t)= (4^ t^ 2) ( e^ 4t )
the numbers after M are subscri... | 5 | [
-0.027099609375,
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0.06298828125,
0.0172119140625,
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0.013916015625,
-0.00994873046875,
-0.00854492187... | 16,775 | 16775 | |
find limits using L'Hopital rule and FTC
January 13th 2011, 12:38 AM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
find limits using L'Hopital rule and FTC
Please kindly check if there are any mistakes.
1. Find $\lim_{x\rightarrow+\infty}e^{-e^x}\int_0^x e^{e^t} dt$
Solution.
... | 5 | [
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0.07568359375,
-0.109375,
0.058349609375,
0.0859375,
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0.038818359375,
-0.034423828125,
0.00286865234375,
0.0025787353515625,
0.00909423828125,
-0.017211914062... | 16,776 | 16776 | |
Midterm 1 Feb 15, 2013 Math 484.1 25 questions, 2 pts each.
Name_________Vaserstein___________________
Correct answers are in boldface.
1. 2x-3y = 1 is
(A) a linear equation for x, y, (B) an affine function of x,y,z, (C) a linear form in x,
(D) a linear constraint for x,y, (E) a linear program.
The stude... | 5 | [
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0.01336669921875,
0.055419921875,
-0.048583984375,
-0.0493164... | 16,777 | 16777 | |
Zero divided by Zero ?
Physics is Phun
I am wondering why 0/0 = indeterminate my reasoning is that anything divided by itself is 1 right? 2/2=1 1/1=1 so wouln't lim x->0 x/x = 1 if so the why wouldn't 0/0=1 I am not trying to argue that 0
/0 is not indeterminate. I accept that it is, but I am still have to wonder, why... | 4 | [
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-0.048828125,
-0.036865234375,
0.02648... | 16,778 | 16778 | |
Auxillary Equation with real and dinstinct root
March 21st 2008, 03:33 AM
Altair
Auxillary Equation with real and dinstinct root
Please solve the following equation :-
$2\ddot{x} + 5\dot{x} - 12x = 0$
We have only been taught to solve the equations of $y'$ or $y''$ sort. I managed to get the numerical ... | 4 | [
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0.15625,
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-0.005645751953125,
-0.042724609375,
... | 16,779 | 16779 | |
Modified Hybrid Block Iterative Algorithm for Uniformly Quasi-
Abstract and Applied Analysis
VolumeΒ 2012Β (2012), Article IDΒ 215261, 17 pages
http://dx.doi.org/10.1155/2012/215261
Research Article
Modified Hybrid Block Iterative Algorithm for Uniformly Quasi--Asymptotically Nonexpansive Mappings
Department of Math... | 5 | [
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The games matrices play - Gene Expression | DiscoverMagazine.com
As I’ve said before I’ve been reading Martin Nowak’s Evolutionary Dynamics. Nowak is a mathematical biologist, and a lot of his research program deals with game theory, so it isn’t a surprise that
several chapters in this book address exclusively game the... | 4 | [
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0.0810546875,
0.... | 16,781 | 16781 | |
Hydrostatic Force
June 20th 2008, 02:31 PM #1
Newbie
Joined
May 2008
Posts
7
Hydrostatic Force
I need help determining the hydrostatic force of the following problem:
An equilateral triangle with sides 3 m is submerged vertically in water so that the base is even with the surface. Express the hydros... | 4 | [
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-0.035400390625,
0.0498046875,
-0.008483886718... | 16,782 | 16782 | |
Trig identities
1 / cos^4ф - 1 / cos^2ф = tan^4ф + tan^2ф
Right Hand Side $\, =\tan^4 \phi + \tan^2 \phi = \frac{\sin^4 \phi}{\cos^4 \phi} + \frac{\sin^2 \phi}{\cos^2 \phi}$. Now note that: $\frac{\sin^4 \phi}{\cos^4 \phi} = \frac{(\sin^2 \phi)^2}{\cos^4 \
phi} = \frac{(1 - \cos^2 \phi)^2}{\cos^4 \phi} = \frac{1 - 2 \... | 4 | [
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Joint distrib of gamma distribs
October 31st 2009, 09:48 AM #1
Newbie
Joined
Oct 2009
Posts
3
Joint distrib of gamma distribs
Let X_i, with i \epsilon {1,2,3} be independant r.v. and suppose that X_i \epsilon Gamma(r_i,1).
Now set:
Y_1= X_1/(X_1+X_2)
Y_2= (X_1+X_2)/(X_1+X_2+X_3)
Y_3= X_1+... | 5 | [
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Math Help
April 3rd 2010, 09:56 AM #1
Member
Joined
Jan 2010
Posts
79
IVP
If we use separation of variables to try to solve the IVP
we would obtain a solution that could not be put in explicit form. But we can solve for $y^2$ instead -- do this.
How would I go about solving for $y^2$? So far I... | 5 | [
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[SOLVED] Really quick arithmetic question!!
April 20th 2009, 04:03 PM #1
Newbie
Joined
Mar 2009
Posts
19
[SOLVED] Really quick arithmetic question!!
Hi guys, I'm working my calculus HW right now and this one problem for some reason really confused me and for the life of me I cannot wrap my head around it... | 4 | [
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Control theory: Laplace versus state space representation
rbj
i just now saw this thread was left hanging. i just received a few infractions from Evo (from a totally different thread) and i need some time to think about what you were asking in post #17.
I'll be happy for any comments!
The reason I'm so eager to st... | 4 | [
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Information Entropy Problem
September 4th 2011, 11:59 AM #1
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Joined
Sep 2011
Posts
4
Information Entropy Problem
can anyone show me the proof how the logarithmic series on the left becomes the expression on the right hand side . kindly see the attached file..Thanks in advance for any help.
reg... | 4 | [
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Derivative and normal
December 17th 2006, 06:04 AM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
Derivative and normal
find an equation of the normal line to the curve
$y = 2 - (\frac{1}{3})x^2$ paralell to $x - y = 0$
i cant seem to find the slope of the normal line
im conf... | 5 | [
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... | 16,789 | 16789 | |
Math Help
November 15th 2008, 11:04 AM #1
Newbie
Joined
Nov 2008
Posts
5
congruence
Is there anyone who can help me where to start. I'm having a hard time to figure this problem out. Thanks
Show that if a, b, and m are integers such that m ≥ 2 and a ≡ b( mod m), then gcd(a,m) = gcd(b,m).
$a \e... | 4 | [
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Nice Question
September 23rd 2006, 08:07 AM #1
Nice Question
I'm not sure if this can be said to be a trick question... but maybe.
Jack, John and Jill go up the hill with five pails to a place where three springs are. Each of the five pails has an 8 litre capacity. One of the springs gives 2 litres of water ... | 4 | [
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Stochastic calculus: [itex] \int_0^td(e^{-us}X(s))=\sigma\int_0^t e^{-us}dB(s)[/itex]
operationsres
Why does:
[itex] \int_0^t d(e^{-us} X(s)) = \sigma \int_0^t e^{-us} dB(s)[/itex]
for stochastic process [itex]X(t)[/itex] and Wiener process [itex]B(t)[/itex]?
Also, why is the following true:
[itex] \int_0^t d(e^... | 5 | [
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LEE & RAFFENSPERGER -- USING AMPL FOR TEACHING THE TSP
Abstract
In this paper, we discuss the use of AMPL in teaching students about the traveling salesman problem (TSP). The paper gives suggestions for pedagogical devices, homework assignments and exams,
PowerPoint presentations, and a convenient package of AMPL ... | 4 | [
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Cisco Sample Problems On Circles
Question 1
Four concentric circles are drawn with the radii at interval of X units. If the radius of inner circle is X units then the ratio of the area between the 4th and 3rd circles to the area between the
2nd and 1st circles is:
a)1:2 b)2:1 c)4:3 d)7:3
Answer : d)7:3
Solution :
Let X... | 4 | [
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Number of permutations to obtain identity
1. The problem statement, all variables and given/known data
Let [itex]s*(f)[/itex] be the minimum number of transpositions of adjacent elements needed to transform the permutation [itex]f[/itex] to the identity permutation. Prove that the maximum value of
[itex]s*(f)[/itex] o... | 4 | [
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Nonhomogenious - method of undetermined coefficients
May 21st 2008, 09:35 AM #1
Member
Joined
Sep 2007
Posts
222
How to find a particular solution for this using method of undetermined coefficients:
y'' - y = e^(-x) cos( 4 x )
I have got the homogenious equation as:
y = A*e^(1*x) + B*e^(-1*x)... | 5 | [
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Help with linear transformation
April 6th 2013, 01:20 AM
Stormey
Help with linear transformation
Hi guys.
I need to prove the following:
Let $V$ be a vector space over $\mathbb{R}$, such that $dim(V)>1$.
Let $\varphi:V\rightarrow V$ be a linear transformation such that: $\varphi^2=-I$.
Prove tha... | 5 | [
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is this correct?
June 7th 2010, 12:15 PM #1
Newbie
Joined
Jun 2010
Posts
6
is this correct?
(1-x)9
= 1+9x - 36x2 + 84x3 - 126x4
not sure if the answer should begin with a plus or a minus..
please clarify
thanks
Assuming you mean $(1-x)^9$ the first term is positive as you put.
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Combination of Interacting Multiple Models with the Particle Filter for Three-Dimensional Target Tracking in Underwater Wireless Sensor Networks
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 829451, 16 pages
http://dx.doi.org/10.1155/2012/829451
Research Article
Combination of Interacting Multip... | 4 | [
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