content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
The travelling salesman problem
This is one of those items I should have written about long ago: I first heard about it over a lunch chat with professor Guth; then I was in not one, but two different talks on it, both by Peter
Jones; and now, finally, after it appeared in this algorithms lecture by Sanjeev Arora I happ... | 4 | [
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0.05517578125,
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-0.0... | 32,500 | 32500 | |
Pesquisa Operacional
Serviços Personalizados
Artigo
Indicadores
Links relacionados
Compartilhar
versão impressa ISSN 0101-7438
Pesqui. Oper. v.25 n.3 Rio de Janeiro set./dez. 2005
http://dx.doi.org/10.1590/S0101-74382005000300005
André Luiz Pires Guedes^I; Lilian Markenzon^II, *
^IDepartamento de Informática;... | 4 | [
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0.0218505859375,
-0.05029296... | 32,501 | 32501 | |
Relevance of the type III error in epidemiological maps
Abstract
Background
A type III error arises from a two-sided test, when one side is erroneously favoured although the true effect actually resides on the other side. The relevance of this grave error in decision-making
is studied for epidemiological maps.
Resul... | 4 | [
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0.0... | 32,502 | 32502 | |
Debt Payment Question
September 27th 2009, 08:15 PM #1
Junior Member
Joined
Feb 2009
Posts
64
Debt Payment Question
One of my hw questions I can't quite figure out:
Debt of $3500 due in 4 years and $5000 due in 6 years is to be repaid in a single payment of $1500 now and 3 equal payments that are due... | 5 | [
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Distance Word Problem
September 8th 2008, 08:56 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Distance Word Problem
A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling... | 4 | [
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... | 32,504 | 32504 | |
math-due tonight please help
Posted by Michelle on Friday, July 9, 2010 at 9:28pm.
find the equation of the line
1.(-2,-8) and (-5,-6)
2.(-1,-1) and (2,2)
3. 6/7, (1,-8)
4.9, (9,1)
• math-due tonight please help - Reiny, Friday, July 9, 2010 at 9:37pm
you don't specify what form you want it, so I will do i... | 4 | [
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Ring Theory
November 2nd 2008, 05:51 PM
robeuler
Ring Theory
Hi everyone
I am having trouble with this problem. It is number 6 in section 8.2 of Dummit and Foote if you have it.
R is an integral domain and suppose that every prime ideal is principal.
a) (I have done this) Assume that the set of idea... | 5 | [
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Help in solving a Differential Equation
First write your ODE as $(x + y \tan y)dx +(x \tan y - y)dy = 0$ then as $(x \cos y + y \sin y)dx +(x \sin y - y \cos y)dy = 0$ which is of the form $M(x,y)dx + N(x,y)dy = 0$. Then check $\dfrac
{M_y-N_x}{N}$ If $\dfrac{M_y-N_x}{N} = Q(x)$ then $\mu = e^{\int Q(x)dx}$ is an integ... | 4 | [
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... | 32,507 | 32507 | |
Could someone help me with this partial limit of a series
What are the partial limits of that series ? tried for hours, couldn't figure this out. Thanks in advance.
Partial sums, you mean? $\sum \Big(6(-1)^{n(n+1)/2} + 8 \cos ({n\pi\over 2})\Big) = 6\sum(-1)^{n(n+1)/2} + 8 \sum \cos ({n\pi\over 2})$. Suppose n is 0 or... | 5 | [
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sketch the region of integration and change the order of integration.
November 1st 2010, 04:40 PM #1
Member
Joined
Sep 2009
Posts
149
sketch the region of integration and change the order of integration.
Heres the problem:
HAving a hard time understanding what this question is asking. When they say ... | 4 | [
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the encyclopedic entry of linear programming
In
mathematics
,
linear programming
(LP) is a technique for
optimization
of a
linear objective function
, subject to
linear equality
and
linear inequality constraints
. Informally, linear programming determines the way to achieve the best outcome (such as maximum... | 4 | [
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0.036376... | 32,510 | 32510 | |
the encyclopedic entry of fixed up
In
mathematics
, a
vector space
(or
linear space
) is a collection of objects (called
vectors
) that, informally speaking, may be scaled and added. More formally, a vector space is a
set
on which two operations, called (vector) addition and (scalar) multiplication, are defin... | 4 | [
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MircroEconomics - Production & Cost
Posted by Anonymous on Wednesday, October 14, 2009 at 9:44am.
Please check my answers if they are correct! If not, please make corrections. Thank you!
Bob, owner of Bob’s Auto, sells cars. The number of car sales is represented by y. Bob buys autos at a price of A each and has no o... | 4 | [
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Compactness; show inf is achieved
February 22nd 2010, 04:41 PM #1
Senior Member
Joined
Jan 2009
Posts
404
Compactness; show inf is achieved
===================================
I don't really understand the hint in part a (actually I'm confused). HOW can we find such sequences x_n and y_n? And h... | 4 | [
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-0.00762939453... | 32,513 | 32513 | |
Number of sides of a polygon
August 28th 2010, 09:53 PM
Punch
Number of sides of a polygon
http://i952.photobucket.com/albums/a...g/P8260034.jpg
$A, B$ and $C$ are three vertices of a polygon as shown above. The reflex angle $ABC =$$222^o$ and the size of the remaining exterior angles are equal to $53^o$ ea... | 4 | [
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... | 32,514 | 32514 | |
The '45 Degree' Diagram
Many of you will have spent quite a lot of time looking at '45 degree' diagrams, or 'Keynesian cross' diagrams. Until a few years ago, they were the main way in that the expenditure and income
aggregates where analysed. Nowadays, aggregate demand and supply diagrams are preferred, although many... | 4 | [
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... | 32,515 | 32515 | |
Similar shapes (Volume and surface area)
March 26th 2011, 05:20 AM #1
Senior Member
Joined
Apr 2006
Posts
290
Similar shapes (Volume and surface area)
Oil is stored in either small drums or large drums. The shapes of the drums are mathematically similar.
A small drum has a volume of 0.006m3 and a su... | 4 | [
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0.05... | 32,516 | 32516 | |
Differential Equation Curve
September 22nd 2009, 05:42 AM
JoAdams5000
Differential Equation Curve
A curve rises from the origin continuously in the
xy plane into the first quadrant. The area under the curve from (0, 0) to (x, y) is 1/3 the area of the rectangle with these points as opposite vertices. Find t... | 5 | [
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-0.016723632812... | 32,517 | 32517 | |
Vectors problem
1. August 14th 2010, 04:14 AM #1
2. August 14th 2010, 04:32 AM #2
1. Determine the coordinates of the x- and y-intercept of L1:
$A(0, c_1)$ and $B\left(-\frac{c_1}{m_1}~,~0\right)$
2. The line L1 passes through A with the staionary vector $\vec a = (0,c_1)$ and B with the... | 5 | [
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0.10546875,
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-0.04541015625,
0.... | 32,518 | 32518 | |
is this expression a tautology?
June 11th 2007, 09:50 AM #1
Member
Joined
Jun 2007
Posts
77
is this expression a tautology?
Show that this is a tautology without creating a truth table (changing logical expression)
(p v q) ^ (-p v r) implies (q v r)
anyone? to prove that this is a tautology the... | 4 | [
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-0.0090942... | 32,519 | 32519 | |
Sphere-line intersection
May 31st 2010, 07:24 AM #1
Member
Joined
May 2008
Posts
87
Sphere-line intersection
I want to find the coordinates of where a line projected from inside a sphere intersects the inner surface of the sphere.
The sphere is: $4(x-2)^2 + 16(y-4)^2 + (z-5)^2 = 400$
Eye point a... | 5 | [
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0.045166015625,
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-0.05297... | 32,520 | 32520 | |
Bivariate normal distribution: what is P(X>0, Y>0)?
January 29th 2009, 11:04 PM #1
Newbie
Joined
Jan 2009
Posts
12
Bivariate normal distribution: what is P(X>0, Y>0)?
Let X and Y have the standard bivariate normal pdf
f(x,y) = 1 / [2*pi*sqrt(1-p^2) ] exp { -(x^2 - 2pxy + y^2)/(2(1-p^2)) }
where... | 5 | [
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-0... | 32,521 | 32521 | |
Homework Help
Posted by ankur on Thursday, June 6, 2013 at 3:20am.
a spherical ballon is being inflated at the rate of 10 cu in/sec.find the rate of change of area when ballon has a radius of 6 inch.
(a)3.33 in2/sec
(b)3.67 in2/sec
(c)3.11 in2/sec
(d)none of these
• maths - Reiny, Thursday, June 6, 2013 at 8:12... | 5 | [
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0.072265625,
0.03125,
0.015869140625,
-0.04931640625,
0.0272216796875,
-0.1... | 32,522 | 32522 | |
Inverse Functions
January 10th 2008, 03:03 PM #1
Member
Joined
Nov 2007
Posts
232
Inverse Functions
Find the inverses of the following functions
o) $y = 3(x - 1)^2, x \geq 1$
$x = 3(y - 1)^2$
$x = 3(y - 1)(y - 1)$
$x = 3(y^2 - 2y + 1)$
$x = 3y^2 - 6y + 3$
$x - 3 = 3y^2 - 6y... | 4 | [
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0.0159912109375,
0.01361083984375,
0.0107421875,
0.0038909912109375,
-0.016845703125,
0.01953125,
-0.050537109375,
-0.0303955078125,
0.033203125,
-0.0703125,
-0.... | 32,523 | 32523 | |
Solution
Solution to puzzle 76: Square inscribed in a triangle
A triangle has sides 10, 17, and 21. A square is inscribed in the triangle. One side of the square lies on the longest side of the triangle. The other two vertices of the square touch the two
shorter sides of the triangle. What is the length of the side ... | 4 | [
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0.1396484375,
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0.00138092041015625,
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0.03759765625,
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0.056396484375,
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-0.03515625,
-0.019775390625,
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0.0634765625,
-0.003631591796875,
0.023193359375,
-0.0255126953125,
0... | 32,524 | 32524 | |
Simple integration please help
Integrate x + pi dx between pi and -pi thanks
To solve the integral, raise x to the second power and divide it by 2, and add an x to pi to get: (2x)/2 + pi(x) + C Now just solve the integral for pi to -pi, so you would just sub in and solve by
subtracting the second number solved in the ... | 5 | [
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0.036376953125,
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0.1025390625,
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0.019775390625,
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0.05029296875,
0.038330078125,
0.0201416015625,
0.08740234375,
-0.09375,
0.0595703125,
0.030517578125,
-0.0322265625,
0.0147705078125,
-0.037841796875,
0.0087890625,
-0.0... | 32,525 | 32525 | |
Need help solving for x!
sin(x) = sin(x + pi/3) I know this is simple but so am i... thanks in advance for any help
but there are solutions. When entering both of these in my graping calculator there are multiple points in which the two functions intersect. I just dont know how to solve for them. I'm looking for
the t... | 4 | [
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0.0202636718... | 32,526 | 32526 | |
The RSA public key cryptographic system
In this document
See also
The RSA system was invented in 1977 by Ron Rivest, Adi Shamir and Leon Adleman (US patent 4,405,829). It is based on the assumption that it is easy to multiply two prime numbers, but difficult to
divide the result again into the two prime numb... | 5 | [
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-0.0322265625,
-0.0678... | 32,527 | 32527 | |
HW Question Factoring
October 2nd 2008, 08:33 AM #1
Junior Member
Joined
Oct 2008
Posts
26
HW Question Factoring
I don't know how to go on about solving this...
IT asks Use factoring to solve the equation for the real values of the variable
y^4 - 26y^2 + 25 = 0
I know how to factor but thi... | 4 | [
0.00909423828125,
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-... | 32,528 | 32528 | |
Question and Answer: Generating Binary and Discrete Response Data
August 19, 2013
By Francis Smart
I was recently contacted by a reader with two very specific questions and I thought that this would be a good topic to publicity respond to. He would like to simulate his data:
I have firm level data and the model is... | 5 | [
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0.0145263671875,... | 32,529 | 32529 | |
Just a little question i need help with.
November 12th 2012, 11:59 PM #1
Newbie
Joined
Nov 2012
From
Halifax
Posts
4
Just a little question i need help with.
1. The curve C is given by the equation y=mx^3-x^2+8x+2, for a constant m
A) find dy/dx
The point P lies on C, and has the x-value 5
... | 4 | [
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0.007... | 32,530 | 32530 | |
Solids of Revolution
February 13th 2009, 08:11 AM #1
Newbie
Joined
Oct 2008
From
NV
Posts
12
Solids of Revolution
Really need help, need to check my answers. These are parts of a review so..
#1 Region M is bounded by the x-axis, x=4 and the graph of $LN(x)$
is the interval 1 to 4?
a) f... | 5 | [
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Toric lattices
This module was designed as a part of the framework for toric varieties (variety, fano_variety).
All toric lattices are isomorphic to \(\ZZ^n\) for some \(n\), but will prevent you from doing “wrong” operations with objects from different lattices.
AUTHORS:
• Andrey Novoseltsev (2010-05-27): initia... | 5 | [
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... | 32,532 | 32532 | |
linear differential equations
May 13th 2008, 07:17 AM
samdmansam
linear differential equations
show that the differential eqn x^2 * dy/dx -y = 2x^3*e^(-1/x)
is linear, and solve it using the integrating factor method.
I have no idea how to even get started on this problem, if someone could show me in a ... | 5 | [
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... | 32,533 | 32533 | |
Parabola in Standard Form
December 28th 2008, 07:40 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Parabola in Standard Form
Write f(x) = -x^2 + 6x - 4 in the standard form for a parabola.
I came up with (x - 3)^2 + 5 but the right answer is
-(x - 3)^2 + 5.
Why must we place... | 4 | [
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Elementary Sorts
2.1 Elementary Sorts
In this section, we shall study two elementary sorting methods (selection sort and insertion sort) and a variation of one of them (shellsort).
Rules of the game.
Our primary concern is algorithms for rearranging arrays of items where each item contains a
key
. The objective ... | 5 | [
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dy/dx y=e^(3x)*sin(pi*x)
March 3rd 2007, 03:09 PM #1
Newbie
Joined
Mar 2007
Posts
3
dy/dx y=e^(3x)*sin(pi*x)
How can I figure this out? I feel dumb.
Derivitive of
y= e to the power 3x, times the sin of (pi times x)
y=e^(3x)*sin(pi*x)
You do it by the product rule.
To refresh your m... | 5 | [
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Proposition 15
To inscribe an equilateral and equiangular hexagon in a given circle.
Let ABCDEF be the given circle.
It is required to inscribe an equilateral and equiangular hexagon in the circle ABCDEF.
Draw the diameter AD of the circle ABCDEF. Take the center G of the circle. Describe the circle EGCH with cente... | 5 | [
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Homework Help
Posted by eng on Tuesday, July 20, 2010 at 1:01am.
how do i represent 1/(1+x^4) in general taylor polynomial. I know the pattern is 1-x^4+x^8-x^16..... I dont know how to represent this pattern in variables equation form. What i mean by general
taylor polynomail is for example
1/(1-x)=1+x+x^2+x^3...+x^n... | 4 | [
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The interior of a set is open and the boundary and closure of a set is closed
September 3rd 2010, 03:31 PM #1
The interior of a set is open and the boundary and closure of a set is closed
So I am pretty sure my proof is correct, just want to verify for correctness and rigor.
Let $a\in int(S)$. Then there exi... | 4 | [
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... | 32,539 | 32539 | |
modal logicbranch of logic that deals with modalities (such properties of propositions formal systems incorporating modalities such as necessity, possibility, impossibility, contingency, possibility,
and impossibility), as opposed to truth and falsity; thus, the statements “Some men may be immortal” and “Men are necess... | 4 | [
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-0.05297851... | 32,540 | 32540 | |
2 Trig Questions
June 18th 2009, 03:01 AM #1
Newbie
Joined
Apr 2009
Posts
12
2 Trig Questions
A) I have to find the exact value of cos8*cos38* + sin8*sin38*(the *'s are degrees)
Now, I'm 90% sure I have to use cos(A+/-B)=cosAcosB +/- sinAsinB, but I've never understood what to do from that point.
... | 4 | [
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Re: [SI-LIST] : Expression for inductance of a flat conductor
jrbarnes@lexmark.com
Tue, 28 Jul 1998 17:13:22 -0400
Salvador,
For a straight PCB land or rectangular strap of:
* Width W meters.
* Thickness T meters <= W.
* Length L meters.
* Metal of resistivity rho ohm-meters and relative permeability mur.
* pi = 3.14... | 4 | [
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Difficult Power Rule task (without calculator)
Hello, kevin3000! This is a strange problem . . . Quote: Calculate an approximate value to $128^{48}$ if you know that: $2^{14} = 16,\!384$ . . I don't see how this is useful. I would do it like this
. . . We have: . $N \;=\;128^{48} \:=\:\left(2^7\right)^{48} \:=\:2^{336}... | 4 | [
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0.0473... | 32,543 | 32543 | |
Velocity
March 6th 2010, 08:33 AM
rawkstar
Velocity
let v(t)=3t^2-12t be the velocity of a particle moving along the x axis for the time t, t>(greater than or equal) 0,
When t=0,the particle is at x=-6
A) determine the position of the particle at t=a
B) write an expression for the speed of the parti... | 4 | [
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-0.017333984375,
-0.... | 32,544 | 32544 | |
[SOLVED] Rearrange I = f(A) to A = f(I)
January 30th 2007, 04:29 AM #1
jamesparker_1
Guest
[SOLVED] Rearrange I = f(A) to A = f(I)
Hi
I need to rearrange the following formula from I = f(A) to A = f(I)
The formula is :
tan(I) = sin(A)/(M+cos(A))
Can anyone tell me how I rearrange this to ge... | 4 | [
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Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 942831, 8 pages
http://dx.doi.org/10.1155/2013/942831
Research Article
Bifurcation of Positive Solutions for a Class of Boundary Value Problems of... | 5 | [
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... | 32,546 | 32546 | |
|x|=|gxg^{-1}|
October 8th 2011, 09:43 AM
dwsmith
|x|=|gxg^{-1}|
Let G be a group and let G act on itself by conjugation, so each g in G maps G to G by $x\mapsto gxg^{-1}$. For each g in G, prove that conjugation by g is an isomorphism from G onto itself.
Deduce that x and $gxg^{-1}$ have the same order for ... | 5 | [
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seperable equation
December 12th 2010, 01:43 PM
Juggalomike
seperable equation
I reviewing for my final and stuck on this question.
dy/dx=y^2/x^2
here is my work
dy/y^2=dx/x^2, integrading both sides i get
-1/y=-1/x+c, i then multiple each side by negative -1 to get
1/y=1/x-c, then multip... | 5 | [
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-0.03... | 32,548 | 32548 | |
Evaluate Limit
June 12th 2009, 04:10 AM
Robb
Evaluate Limit
Hello,
Doing some revision, and I cant figure out what to do with this function in order to calculate the limit... I know it equals $\frac{1}{4}$;
$\lim_{x\to0}\frac{\sqrt{1+\tan{x}}-\sqrt{1+\sin{x}}}{x^3}$
June 12th 2009, 04:16 AM
Amer
June ... | 5 | [
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-0.0... | 32,549 | 32549 | |
Surface Integral
April 3rd 2011, 04:28 AM #1
Newbie
Joined
Apr 2011
From
Hyderabad
Posts
1
Surface Integral
Evaluate $\int {F.dS}$ where, $F=xi+(z^2-zx)j-xyk$ and $S$ is a triangular surface with vertices (2,0,0) , (0,2,0) and (0,0,4)
My attempt :
The equation of the triangular plane : $P=2... | 5 | [
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-... | 32,550 | 32550 | |
maclaurin series help
February 18th 2007, 01:29 PM
rcmango
maclaurin series help
find the maclaurin series for f(x) = coshx
the answer is = 1 + x^2 / 2! + x^4 / 4! + x^6 / 6! + ...
my question: How is the 6th derivative positive? i believe its a -coshx?
also, whats the difference between coshx and... | 5 | [
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Measuring the Value of Decreased Mortality Rates
Written By: Jason Shafrin - Jul• 01•13
How do you measure the value of reduced mortality from a specific disease? Just because you are less likely to die from AIDS in a given year does not mean that your likelihood of dying from cancer
will decrease. Thus, how does one... | 4 | [
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Calculus: Power Series Differentiation-Integration Video | MindBites
Calculus: Power Series Differentiation-Integration
About this Lesson
• Type: Video Tutorial
• Length: 8:00
• Media: Video/mp4
• Use: Watch Online & Download
• Access Period: Unrestricted
• Download: MP4 (iPod compatible)
• Size: 86 MB
... | 5 | [
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Finding the Zeros
Find all zeros of the givin polynomial: x^4 + x^3 - 6x² - 14x - 12
By Rational Roots theorem we check: pm 1,pm 2, pm 3, pm 4, pm 6, pm 12 With luck we find the, x=-2 and x=3 Thus, (x+2)(x-3)=x^2-x-6 Divide, Code: x^4 + x^3 - 6x^2 - 14x - 12: x^2 - x -6 = x^2+2x+2 -
x^4 +x^3 +6x^2 --------------------... | 4 | [
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Probability of selecting 5 numbers from 1-40, no two being consecutive
June 4th 2010, 06:42 AM
fourierwarrior
Probability of selecting 5 numbers from 1-40, no two being consecutive
Supposing we select 5 integers at random from 1 to 40 inclusive.
How could we find the probability of none of these numbers bei... | 4 | [
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complex numbers problem
the question and solution are attached but i cant understand, can somebody please guide
Hey mathfag188. Are you aware of De-Moivre's theorem and how to use that to solve roots for z^n = 1?
\displaystyle \begin{align*} \left( \frac{z +1 }{z} \right) ^5 &= 1 \\ \left( \frac{z + 1}{z} \right) ^5 ... | 5 | [
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Find the Inverse Laplace Transform
November 25th 2011, 08:59 PM
VitaX
Find the Inverse Laplace Transform
$y''(t) - 2y'(t) + 2y(t) = e^{-t}$ with initial conditions of $y(0) = 0$ and $y'(0) = 1$
$[s^2 Y(s) - sy(0) - y'(0)] - 2[sY(s) - y(0)] + 2Y(s) = \frac{1}{s+1}$
$s^2 Y(s) - 1 - 2sY(s) + 2Y(s) = \frac... | 5 | [
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Summation division
February 3rd 2013, 10:41 AM #1
Newbie
Joined
Sep 2012
From
US
Posts
18
Summation division
Simple question. If you have a fraction where:
numerator = summation of Xi terms
denominator = summation of Xi^2 terms
Do standard rules of arithmetic apply? So that it equals th... | 4 | [
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Optimal Geometric Mean Returns of Stocks and Their Options
International Journal of Stochastic Analysis
Volume 2012 (2012), Article ID 498050, 8 pages
http://dx.doi.org/10.1155/2012/498050
Research Article
Optimal Geometric Mean Returns of Stocks and Their Options
Department of Mathematics and Statistics, University... | 5 | [
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the encyclopedic entry of magnetic flux
Magnetic flux
, represented by the Greek letter Φ (
phi
), is a measure of quantity of
magnetism
, taking into account the strength and the extent of a
magnetic field
. The
SI unit
of magnetic flux is the
weber
(in derived units: volt-seconds), and the unit of magnetic... | 4 | [
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... | 32,560 | 32560 | |
Topics
Introduction to :
So far, we've been looking at areas of triangles and rectangles and trapezoids. Shapes with straight edges and angles and corners. Well, it was fun while it lasted, but we're done with all that
business. Time to get a little less square and a little more well-rounded.
We know what a circle ... | 4 | [
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Volume of a Pyramid
January 27th 2010, 05:47 PM #1
Member
Joined
Jan 2010
Posts
79
Volume of a Pyramid
Use calculus to find the volume of a pyramid with height h and rectangular base with dimensions b and 2b.
I don't know how to start this question. I've tried finding the integral from 0 to h of (... | 5 | [
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Metric Space
January 13th 2010, 01:40 AM #1
Metric Space
For $0<p<1$ show that $d_p(x,y)=(|x_1-y_1|^p+|x_2-y_2|^p)^{\frac{1}{p}}$ is not a metric on $\mathbb{R}^2$.
I think i've done this correctly, but i'm new to this module so I just want some confirmation that i've done it right (it's one of those modules... | 4 | [
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Volume By Cross-Sections Help
April 6th 2008, 02:58 PM #1
Newbie
Joined
Apr 2008
Posts
2
Volume By Cross-Sections Help
We have a project where we have to make a model of finding volume by cross-sections, and I'm somewhat confused. This is the problem:
Find the volume - base bounded by y=x+1 and y=x^... | 4 | [
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Need helps with series.
August 29th 2008, 10:58 AM
ceasar_19134
Need helps with series.
"Suppose a deposit of $500 is made at the begining of each year for 25 years into an account that pays 11% compounded annually. What is the amount of this annunity at the end of the 25th year?"
I think the formula I shou... | 5 | [
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polar coordinates
September 5th 2007, 06:14 PM #1
Member
Joined
Aug 2007
Posts
239
polar coordinates
if $r = e^{\theta}$ find points on curve where tangent is horizontal and vertical.
I got $(e^{n \pi - \frac{\pi}{4}}, \pi n - \frac{\pi}{4})$ for horizontal tangents.
Is this correct?
Hello... | 5 | [
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The Magic Algebra -- The Algebraic Approach to Control Flow Analysis
Rock Brentwood <markwh04@yahoo.com>
Mon, 12 Jan 2009 13:13:02 -0800 (PST)
From comp.co... | 4 | [
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intersecting circles
March 13th 2009, 11:01 AM
FRANTICSTAR
intersecting circles
Hi I'd like to know how I find out where 2 circles would intersect
I can show the following example:
http://dev.franticstar.co.uk/trig/trig.jpg
So far I have:
Left circle:
x = 250 + 200 * cos(a1)
y = 350 +... | 4 | [
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multiplication of matrices
Prove if there exists invertible 2x2 matrices A and B such that A*B*A^-1*B^-1=2I₂
If you are asking if there exist invertible matrices A and B such that $ABA^{-1}B^{-1} = 2I$, then we can easily say there does not. Use determinants. However I think you dont know determinants and
thats why th... | 5 | [
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Algebra(check pt 3)
Posted by erin on Saturday, July 28, 2007 at 3:06pm.
1)The dimensions of ST.
S[7/12 -1/9]
[-1/3 1/9]
T[4 -5 2]
[8 -1 3]
answer=2x3
2)The pair of matrices that are inverses.
P[3 1] Q[4 4] R[0 -1/4]
[-4 0] [12 21] [1 3/4]
S[7/12 -1/9] T[4 -5 2] U[-9 6 4]
[-1/3 1/9] [8 -1 3] [-5 -2 3]
V[3 1... | 4 | [
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Homework Help
Posted by House on Friday, October 3, 2008 at 1:16pm.
If a and B are two angles in Quadrant 2 such that tan a=-1/2 and tan B= -2/3, find cos(a+b)?
tan(a) = -1/2
oppsite side = 1: adjacentside = 2
hypotenuse = sqrt(1+4) = sqrt(5)
sin(a) = 1/5
cos(a) = -2/5
tan(b) = -2/3
opposite side = 2 and adjace... | 4 | [
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Converge or Diverge?
Does the integral $\int_{1}^{\infty} \frac{3 \; dx}{2x \sqrt{4+5x}}$ converge or diverge? If it converges, what is its value?
Last edited by shilz222; September 25th 2007 at 09:22 PM.
$\int_{1}^{\infty} \frac{3x}{2x \sqrt{4+5x}}~dx = \frac 32 \lim_{N \to \infty} \int_{1}^{N} \frac 1{\sqrt {4 + 5x... | 5 | [
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trigonometry (repost) Mathmate
Posted by Anon on Saturday, February 26, 2011 at 3:37am.
I want to start by saying thank you . You have no idea how much u have helped me understand logarithms, even better then the books i have (it poorly explains the subject of trigonometry let alone
logarithms and antilog). Your last ... | 4 | [
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[SOLVED] quadrilateral QABR
September 29th 2008, 03:51 PM #1
Member
Joined
Sep 2008
Posts
222
[SOLVED] quadrilateral QABR
Hi, This question is from the SAT OG Book on page 746 # 12.
Note: Figure not drawn to scale
In the figure above, points P, A and B are equally spaced on line L and points P,... | 4 | [
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Approximating a difficult (or impossible?) integral
January 9th 2009, 09:51 PM
jabernathy
Approximating a difficult (or impossible?) integral
Hello!
I'd like to create a probability density function where the probability of observing a random variable is proportional to the distance from a circle.
Let ... | 4 | [
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Showing the solution is a circle: Why is this true?
April 28th 2012, 12:10 PM
karatekid
Showing the solution is a circle: Why is this true?
Hi guys,
I've been trying this all day, hopefully I'm just being stupid. The full problem is to show that two simultaneous differential equations in x(t) and y(t) have ... | 4 | [
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A concrete floating-point
4-2 FLOATING-POINT NUMBERS - CONCRETE EXAMPLE
**********************************************
IEEE/REAL*4
-----------
To make things more concrete let's look at a typical floating-point
representation for a REAL (SINGLE PRECISION) - the single-precision
unextended IEEE (ANSI/IEEE Std ... | 4 | [
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Proof hyperbolic equation
Show that $coth(x)+csc(x) = \frac{(1+e^-^1)^2}{1-(e^-^x)^2}$. $\frac{coshx}{sinhx}+\frac{1}{sinhx}$ $\frac{e^x+e^-^x+2}{e^x-e^-^x}$ Can't understand how to approach from here.
Hello, freestar! There is a typo in the first equation . . . . - - . . . . . . . . . . . . . . . . . . . . . . . . . ... | 4 | [
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Rationals/Irrationals and Continuity
February 27th 2010, 03:21 PM #1
Member
Joined
Jan 2010
Posts
80
Rationals/Irrationals and Continuity
If you define $g: \mathbb{R} \rightarrow \mathbb{R}$ by $g(x) := 2x$ for $x$ rational, and $g(x) := x + 3$ for $x$ irrational, at what points is $g$ continuous?
T... | 4 | [
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ETER
HOW TO DETERMINE THE SCALE OF A LOG
SCALING CYLINDER:
Two measurements determine the scaling cylinder of a log segment scaling diameter and scaling length. The scaling cylinder is an imaginary cylinder extending the scaling length of a log segment
with identical diameters on both ends.
┌──────────────────────... | 4 | [
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MATH- Algebra 2
Posted by Blair on Sunday, February 17, 2013 at 5:16pm.
x^2-6>-5x
6x^2-5x+1<0
Solve (using any method), write your answer in interval notation and graph the solution set.
• MATH- Algebra 2 - Reiny, Sunday, February 17, 2013 at 5:51pm
1. x^2 + 5x - 6 > 0
(x+6)(x-1) > 0
critical values ... | 4 | [
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... | 32,581 | 32581 | |
Rank of a Matrix
In previous sections, we solved linear systems using Gauss elimination method or the Gauss-Jordan method. In the examples considered, we have encountered three possibilities, namely
1. existence of a unique solution,
2. existence of an infinite number of solutions, and
3. no solution.
Based on the... | 5 | [
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Calculus: Using the Chain Rule Video | MindBites
Calculus: Using the Chain Rule
About this Lesson
• Type: Video Tutorial
• Length: 12:54
• Media: Video/mp4
• Use: Watch Online & Download
• Access Period: Unrestricted
• Download: MP4 (iPod compatible)
• Size: 139 MB
• Posted: 11/18/2008
This lesson is... | 5 | [
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Pigeonhole Principle
October 25th 2008, 11:54 PM
iloveher85
Pigeonhole Principle
Dear readers,
I'm quite stucked with this below question.
If the remainder is 0 hen an integer a is divided by an integer b, we say that a is divisible by b. Given 27 distinct integers, prove that there must be 2 integers ... | 5 | [
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0.09375,
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0.021240234375,
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0.0703125,
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-0.0339355468... | 32,584 | 32584 | |
Monoidal structure on a category with products and with terminal object
up vote 2 down vote favorite
Let $K$ be a category with products $(X,Y)\mapsto X\sqcap Y$ and with a terminal object $T$. It seems obvious to me that $\sqcap$ and $T$ define a structure of a monoidal category on $K$, but I can't
find a reference. ... | 4 | [
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URGENT!!! Calculus problem
March 11th 2009, 10:07 PM
Pikachu91
URGENT!!! Calculus problem
Please show all steps and all the work that is required for the problem.
∫ ( dx/ x^3+1) from 0 to 1.
1. Set up the appropriate partial fraction expression.
2. Determine the coefficients.
3. Develop complete... | 4 | [
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0.02917... | 32,586 | 32586 | |
Algebra Help
March 26th 2009, 01:53 AM #1
Newbie
Joined
Jan 2009
Posts
9
Algebra Help
Here is part of a working given by an answer of a particular question:
40*(a–b)=50*(x–y)
If a, b, x, and y are whole numbers, (a – b) must in fact be a multiple of 5.
Why must $(a-b)$ a multiple of five?
... | 4 | [
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[SOLVED] my last two double angle questions
May 8th 2009, 03:28 PM #1
Member
Joined
Nov 2008
Posts
184
[SOLVED] my last two double angle questions
I am pretty sure I'm almost done the first one.
#1
Use the identity for sin2x and an identity for cos2x to verify that
but when I use the formula... | 4 | [
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0.030883789... | 32,588 | 32588 | |
Sine/ Cosine. solve for x
Solve for x A. sin30°=x/12 b. cos136°=5/x c. sin5°=26/x d sin x=5/12 e. cos x=2/15 i need help.
You're going to need a calculator for four of these. The first is elementary: $\sin 30 = \frac{x}{12}$ $x = 12 \sin 30 = 12(0.5) = 6$ For b and c: rearrange the equation. For example, $x = \frac{5}... | 4 | [
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0.04... | 32,589 | 32589 | |
Regularization Parameter Choice Rule for Truncation Method for Identifying the Unknown Source of the Poisson Equation
International Journal of Partial Differential Equations
Volume 2013 (2013), Article ID 590737, 6 pages
http://dx.doi.org/10.1155/2013/590737
Research Article
A Posteriori Regularization Parameter Cho... | 5 | [
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Circle in cartesian and polar
April 18th 2012, 04:05 PM
Bowlbase
Circle in cartesian and polar
I have a circle whose center is at point (5,-2) and goes through (1,1)
Circle formula: $(x-h)^2+(y-k)^2=r^2$
h=5
k=-2
$r=\sqrt((x_1-x_2)^2+y_1-y_2)^2)$
$r=\sqrt((5-1)^2+(-2-1)^2)$
$r=\sqrt(25)=... | 4 | [
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Brazilian Journal of Physics
Servicios Personalizados
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versión impresa ISSN 0103-9733
Braz. J. Phys. v.33 n.3 São Paulo sep. 2003
http://dx.doi.org/10.1590/S0103-97332003000300032
Competing long-range bonds and site dilution in the one-dimensional bond-percolati... | 4 | [
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-0... | 32,592 | 32592 | |
Factoring exponentials
January 22nd 2013, 06:52 AM #1
Factoring exponentials
I'm a bit embarrassed to post this, as it might be trivial but what the hey? I'm stuck!
The problem is to reduce this:
$e^{i \bold{k} \cdot ( \bold{x} - \bold{y} ) } e^{-i k_0 (x_0 - y_0) } - e^{-i \bold{k} \cdot ( \bold{x} - \b... | 5 | [
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0.03515625,
-0.025634765625,
... | 32,593 | 32593 | |
automorphism of a group
July 18th 2011, 09:42 AM #1
automorphism of a group
Hi,
Can someone help me with proving this proposition:
Let $G$ a group. For $g \in G$ we define:
$\lambda_g: G \to G: x \mapsto gxg^{-1}$
Proof $\lambda_g$ is an automorphism of $G$ (We call it an inside automorphism of... | 5 | [
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-0.04125976562... | 32,594 | 32594 | |
Proof (product of fractions)
August 30th 2010, 03:24 PM #1
Newbie
Joined
Aug 2010
Posts
5
Proof (product of fractions)
I need to prove that the product of 1/2 * 3/4 * 5/6 . . . 99/100 is less than 1/10. I understand that the product will continue to approach zero at a decreasing rate as the series progre... | 5 | [
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0.061767578125,... | 32,595 | 32595 | |
center and radius of a circle?
January 29th 2009, 09:24 PM #1
Member
Joined
Jan 2009
From
USA
Posts
123
center and radius of a circle?
how do you find the center and radius of a circle?
Problem:
Find the center of the circle given in general form (x^2)+(y^2)-10x-2y+50=49
Hint: $x^2+y^2-... | 4 | [
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Institute for Mathematics and its Applications (IMA)
The Burgers equation is a basic hydrodynamic model describing the evolution of the velocity field of sticky dust particles. When supplied with random forcing it turns into an infinite-dimensional
random dynamical system that has been studied since late 1990's. The va... | 4 | [
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Point on paraboloid at which the tangent plane is parallel to plane
October 3rd 2011, 07:17 AM
deezy
Point on paraboloid at which the tangent plane is parallel to plane
Find pt on paraboloid $x = 5y^2 + 7z^2$, if it exists, at which the tangent plane is parallel to plane $-x + y + z = 3$.
Not completely sur... | 5 | [
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0.028564453125,
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0.020263671875,
-0.06884765625,
-0.06787... | 32,598 | 32598 | |
differential equations
Solve the following differential equations. y' = ((y^2)+xy)/(x^2) Whats the method of solving this? What theorem am i using?
First divide by $y^2$ both sides : $<br /> \tfrac{{y'}}<br /> {{y^2 }} = \tfrac{1}<br /> {{x^2 }} + \tfrac{1}<br /> {x} \cdot \tfrac{1}<br /> {y}<br />$ But note that: $<b... | 5 | [
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0... | 32,599 | 32599 |