content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Icosidodecahedron
From Wikipedia, the free encyclopedia
In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons
meeting at each, and 60 identical edges, each separating a triangle fr... | 4 | [
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Continuity and Differentiability
June 29th 2008, 01:53 AM
catcat103
Continuity and Differentiability
I am confused about the definition of continuity and differentiability of n-variable functions. Also, what is the meaning of continuously differentiable?
Here are some examples that I don't understand fully.... | 5 | [
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Equations problem
1. July 15th 2010, 07:24 PM #1
2. July 15th 2010, 08:06 PM #2
You have
$\begin{cases}x + y + z = 3 \\ x^2 + y^2 + z^2 = 9 \\ xyz = -2\end{cases}$
From equation 1:
$x = 3 - y - z$, so
$\begin{cases}(3 - y - z)^2 + y^2 + z^2 = 9\\ (3 - y - z)yz = -2\end... | 4 | [
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-0.0625,
-0.03... | 34,602 | 34602 | |
Permutations & Combinations
April 25th 2012, 02:29 PM
MathIsNotFun
Permutations & Combinations
I like comedies, animations, and sci fi. A video stores has release wall has 7 sci fi, 2 westerns, 9 suspense, 3 foreign, 12 animation, 4 dramas and 10 comedies. How many way can i choose 3
movies if
b) I must ... | 4 | [
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Homework Help
Posted by Hopeless on Friday, August 23, 2013 at 3:19pm.
Can you show me how to solve these problems? PLEASE!!! I can't figure out how to solve these. :-(
1.Briarcrest Condiments is a spice-making firm. Recently, it developed a new process for producing spices. The process requires new machinery that wo... | 5 | [
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Need help with what is probably a simple quadratic equation
November 21st 2006, 11:01 AM #1
Newbie
Joined
Nov 2006
Posts
2
Need help with what is probably a simple quadratic equation
Hi, I really need a hand with the following question
Find the values for k for which the quadratic equation x^2-2x+21... | 4 | [
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0.0128173828125,
-0.0000324249267578125,
0.04296875,
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0.0322265625,
-0.0244140625,
0.038818359375,
-0.0189208984375,
-0.001... | 34,605 | 34605 | |
Homework Help
Posted by Ian on Friday, March 29, 2013 at 12:45am.
a and b are digits such that 120abΕ»Ε»Ε»Ε»Ε»Ε»Ε»Ε» is a multiple of 3, 5 and 7. What is the value of abΕ»Ε»Ε»?
Details and assumptions
abcΕ»Ε»Ε»Ε»Ε» means 100a+10b+1c, as opposed to aΓbΓc. As an explicit example, for a=2,b=3,c=4, abcΕ»Ε»Ε»Ε»Ε»=234 and not 2Γ3Γ4=24.
β’ M... | 4 | [
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Integration by parts
August 18th 2010, 04:58 PM
exothesis
Integration by parts
I'm trying to integrate this function using integration by parts, but I get stuck after a while.
The function is
$\int sin^2(\theta) d\theta$
I start by using the formula $\int f g' dx = fg-\int g f'dx$
So taking $... | 5 | [
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0.... | 34,607 | 34607 | |
Example
What it is:
Standard deviation is a measure of how much an investment's returns can vary from its average return. It is a measure of volatility and in turn, risk. The formula for standard deviation is:
Standard Deviation = [1/n *Β (r[i] - r[ave])^2]^Β½
where:
r[i ]= actual rate of return
r[ave] = average rate... | 4 | [
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Nonlinear 1st order ODE
Would it help if $\cos(x+y)= \cos x \cos y - \sin x \sin y$ ??
let $u = x+y$ then $y= u-x$ and $\frac{dy}{dx} = \frac{du}{dx} -1$ so $\frac{du}{dx} -1 = \cos u$ $\frac{du}{1+\cos u} = dx$ integrate both sides $\tan\Big(\frac{u}{2}\Big) = x + C$ (the substitution
$v = \tan\Big(\frac{u}{2}\Big)$ ... | 5 | [
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... | 34,609 | 34609 | |
Latin American applied research
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versiΓ³nΒ impresaΒ ISSN 0327-0793
Lat. Am. appl. res.Β v.37Β n.4Β BahΓa BlancaΒ oct.Β 2007
Β
A transversely isotropic law for the determination of the circumferential young's modulus of bamboo with diametric compre... | 4 | [
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0.084960937... | 34,610 | 34610 | |
find absolute extrema & Lagrange Multipliers
March 30th 2007, 10:05 PM #1
Junior Member
Joined
Feb 2007
Posts
44
find absolute extrema & Lagrange Multipliers
1. given: f(x,y) = x^3 - 6xy + y^2 +15x
find absolute extrema of f over the triangluar region in the xy plane with vertices (0,0), (0,4) & (2,... | 5 | [
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0.005584716796875,
0.057373046875,
-0.0179443359375... | 34,611 | 34611 | |
trig question
Posted by Anonymous on Saturday, April 28, 2012 at 2:57pm.
NEW DIAGRAM:
On a unit circle, sin x = square root 3 over 2, with center O.
Vertical line from top to center of circle is PO.
Horizontal line from middle to right of circle is OE.
Another vertical line of AB is parallel to PO.
And radius of ... | 4 | [
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Homework Help
Posted by Lucas on Sunday, December 9, 2012 at 5:24am.
-4r^2+21r=r+13
3s^2-26s+2=5s^2+1
Please, please could you be so nice and help me with step by step, I can't find right solution, Thank you so much!!!!
β’ algebra - Steve, Sunday, December 9, 2012 at 6:35am
always set everything equal to zero... | 4 | [
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Area between curves
January 22nd 2009, 09:30 AM #1
Newbie
Joined
Jan 2009
From
USA
Posts
16
Area between curves
Is there something I'm doing wrong in this problem? I can't figure it out, which probably means it's blindingly obvious.
Find the area of the region enclosed by $y=\sqrt{x}, y=\frac{1}... | 4 | [
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Inductive Hypothesis
February 27th 2009, 07:15 PM #1
Member
Joined
Jan 2009
Posts
93
Inductive Hypothesis
When doing problems that tends to these 3 steps: Basis Step, Inductive Hypothesis and proving the Inductive Step, I am having difficuly understanding the Inductive Hypotheses. How do you know
wha... | 4 | [
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Write down the normal eq for estmiating the constant A and B
December 4th 2009, 09:36 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Write down the normal eq for estmiating the constant A and B
Question :
Write down the normal equations for estimating the constant A and B in the least-squ... | 5 | [
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0.0... | 34,616 | 34616 | |
Two air pressure/density questions that I have little clue what to do with.
June 20th 2010, 10:40 AM #1
Two air pressure/density questions that I have little clue what to do with.
Hello again MHF!
I have a some questions that I need a little help with concerning air density and buoyancy.
(1):
The de... | 5 | [
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la
Lecture Level: Easy
Lecture Length:8:19 minutes
Lecture Index
0.22 Problem Solved by Gauss
0.55 Find the Sum
1.22 Solution
3.20 Generalization for arithmetic progressions
4.17 Examples arithmetic progressions
5.16 invariant for arithmetic progressions
8.00 formula for arithmetic progressions
8... | 4 | [
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Hough Transform for Line Detection –An Intro and Sample Code
Hough Transform for Line Detection βAn Intro and Sample Code
Hough transform was originally proposed to detect lines in images. It is then generalized to detect arbitrary shapes that can be represented by a set of parameters. This blog only covers Stan... | 4 | [
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... | 34,619 | 34619 | |
A Bordism Viewpoint of Fiberwise Intersections
International Journal of Mathematics and Mathematical Sciences
VolumeΒ 2013Β (2013), Article IDΒ 430105, 6 pages
http://dx.doi.org/10.1155/2013/430105
Research Article
A Bordism Viewpoint of Fiberwise Intersections
50 Department of Mathematics, Faculty of Science, Kasetsar... | 5 | [
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Prove that the zero vector & additive inverse is unique - by contradiction?
April 22nd 2013, 06:36 PM
Draco93
Prove that the zero vector & additive inverse is unique - by contradiction?
I know this can be done by a direct proof, but I'm interested in doing it by contradiction.
I have done two methods for pr... | 5 | [
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0.015075683593... | 34,621 | 34621 | |
Proving an inequality without induction
June 25th 2013, 01:42 PM
Ragnarok
Proving an inequality without induction
Hello, I have proved this statement using induction, but I am just wondering if you can do it without induction:
$\sum_{k=1}^n\frac{k}{2^k}<2$
for all $n\geq 1$.
I'm wondering if there... | 5 | [
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0.0893... | 34,622 | 34622 | |
COLLEGE PHYSICS
Posted by sarah on Saturday, May 31, 2008 at 7:06pm.
A rollercoaster car of mass 600.0 kg is moving 2.4m/s at the top of a peak that is 25m off the ground. The car moves down slope and up the next hill. Assume that it loses 20,000J of energy by the
next time it gets to the top of the next peak due to f... | 4 | [
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0.125,
0.049560546875,
0.08251953125,
... | 34,623 | 34623 | |
more basic trig
prove the following trig identity: (1+sin theta/ cos theta) + (cos theta/ 1+sin theta) = 2/cos theta Thank you!
Multiply the top & bottom of your second fraction by $1-sin(\theta)$. Your denominator will then be $1-sin^2(\theta)$, which equals $cos^2(\theta)$. Does that help you get started?
$\frac{1 ... | 4 | [
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-0.00115966796875,
-0.05126953125,
-0.001800537109375,
0.03369140625,
0.08496... | 34,624 | 34624 | |
Computational & Applied Mathematics
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On-lineΒ versionΒ ISSN 1807-0302
Comput. Appl. Math.Β vol.31Β no.2Β SΓ£o CarlosΒ Β 2012
http://dx.doi.org/10.1590/S1807-03022012000200008Β
Two iterative algorithms for solving coupled matrix equations over reflexive and anti-r... | 5 | [
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0.0277099609375,
-0.000705718994140625,
-... | 34,625 | 34625 | |
An easy Problem(or is it?)
October 14th 2009, 11:23 AM
ruthvik
An easy Problem(or is it?)
7 non-negative numbers have a average of 24. What is the largest possible value for the median of the numbers?
I know the sum has to be 168. Anyone know where to go from there?
Help is appreciated
October 14th 20... | 4 | [
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0.01007080078125,
-0.00698852... | 34,626 | 34626 | |
Frustrating problem
June 29th 2007, 07:09 PM
pianistonstrike
Frustrating problem
Sorry if this seems really simple... I haven't had geometry in school in over a year.
The bisectors of angles B and C in triangle ABC intersect in point O. Find angle BOC if angle BAC = a (pretend that's an alpha).
Bleh, I... | 4 | [
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Finding the marginal distribution of a random variable w/ a random variable parameter
January 25th 2010, 06:36 PM
ryzeg
Finding the marginal distribution of a random variable w/ a random variable parameter
I am a little shaky on my probability, so bear with me if this is a dumb question...
Anyway, these two... | 5 | [
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What Is Pi Rounded To The Nearest Ten-thousandth?
Answer:
Pi rounded to the nearest ten thousandth is 3.1416, and that is rounded up because the next number in the sequence is 9 so it would be rounded up.
Resolved Questions:
Can You Help With 3-4x=7x-74 ?
X=-6.4545454545 repeated first add 4x to both sides you wil... | 4 | [
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0.00154113769531... | 34,629 | 34629 | |
prove that a set V is a vector space
December 19th 2011, 10:14 PM #1
Member
Joined
Mar 2006
Posts
125
prove that a set V is a vector space
Hello,
I am trying to prove that a set V is a vector space, I managed to prove most of the process, but stuck with a couple of things...
The set V is the se... | 5 | [
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0.... | 34,630 | 34630 | |
basic Rational Expression simplifying help
November 17th 2010, 02:38 PM #1
Junior Member
Joined
Sep 2010
Posts
60
basic Rational Expression simplifying help
ok so I have the following problem:
4x+2
-------- (fraction line, i thought this would be easier)
12x^2+14x+4
the answer is 1/3x+2... | 4 | [
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0.052001953125,
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0.08203125,... | 34,631 | 34631 | |
Logarithms with an x,y, and z values?
Take this one for example 1/3log7^x +13log7^y - 5log5^z How would I reduce this to a single logarithm?
you should know that $log(a)^b=blog(a)$ $log(a)-log(b)=log(\frac{a}{b})$ $log(a)+log(b)=log(ab)$ apply these two formula you will get the answer
Last edited by bilbobaggins; Jun... | 4 | [
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calculus-differential equation can anyonehelp me out plz
May 17th 2009, 09:57 AM #1
Newbie
Joined
May 2009
Posts
15
calculus-differential equation can anyonehelp me out plz
can anyone help me out wif this problem??
maybe...its an easy cake for u..
dy/dx=xe^(y-x^2) and y(0)=0
I have to solve... | 4 | [
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... | 34,633 | 34633 | |
Solving 2 differential equations
March 31st 2012, 03:51 AM #1
Junior Member
Joined
Oct 2008
Posts
26
Solving 2 differential equations
dx/dt=ay and dy/dt=bx where x and y are function of t [x(t) and y(t)] and a and b are constant.
1) show what x and y satisfy the equation for a hyperbola: y^2-(b/a)*x... | 4 | [
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... | 34,634 | 34634 | |
Bonferroni's Inequality Proof
September 11th 2010, 09:11 PM #1
Member
Joined
Mar 2008
From
Acolman, Mexico
Posts
118
Bonferroni's Inequality Proof
Hello,
I am confused with the following question.
Suppose $E_1, E_2,..., E_n$ are events, then
$\sum_{i=1}^{n} P(E_i) - \sum_{i<j}P(E_i E_j... | 4 | [
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... | 34,635 | 34635 | |
maths-urgently needed[Differential equations]
Posted by Anonymous on Thursday, February 7, 2013 at 10:13am.
solve-
dy/dx = 2xy + (y^2/x^2)
β’ maths-urgently needed[Differential equations] - Steve, Thursday, February 7, 2013 at 10:26am
Looks like a Riccati equation. Standard methods, such as those at
http:... | 5 | [
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Derivative Help
November 19th 2006, 01:30 PM
Mathamateur
Derivative Help
Hey, I am running through some examples trying to get ready for my test and am completely stuck on one. I have a feeling something similar will be on our test too!
Anyways here is the question
Using the definition of the derivati... | 5 | [
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Using averges to find the total
May 17th 2007, 11:34 AM
GAdams
Using averges to find the total
Jane and Mitzi have both done the same number of practice papers for their mathematics examination.
They both have the same total mark, T.
They do one more practice paper.
Jane scores 89 and her average sco... | 4 | [
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gee-constraint-network
GEE/Constraint networks
A constraint network is a way to perform a computation represented by an acyclic graph. When the base library of GEE is installed: it makes available the (gee math constraint) module, which
implements a constraint network evaluator built upon the GOOPS extension to Guile... | 5 | [
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Homework Help
Posted by Anonymous on Saturday, October 29, 2011 at 2:08pm.
3r-5s=-4 5r+3s=16 elimination method
β’ alberga - ABC123DOREMI, Saturday, October 29, 2011 at 2:31pm
3r-5s= -4
5r+3s= 16
Multiply the 1st equation by 5 and the second by 3...
15r-25s= -20
15r+9s=48
Subtract both
... | 4 | [
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Probability and Monte Carlo methods
Probability and Monte Carlo methods
December 15, 2013
By Brian Lee Yung Rowe
This is a lecture post for my students in the CUNY MS Data Analytics program. In this series of lectures I discuss mathematical concepts from different perspectives. The goal is to ask questions and
chal... | 5 | [
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0.04736328... | 34,641 | 34641 | |
pH equivalence
February 3rd 2008, 07:57 AM
johett
pH equivalence
50mL of 0.10mol/L hydrobromic acid is titrated with 0.10mol/l aqueous ammonia. Determine the pH at equivalence.
NH4+H2O -->NH3+H3O
n=c x v
=0.10mol/L x 0.05L
=0.005mol
V=0.005mol
0.1mol/L
=0.05L
Vtotal=0.1L
... | 4 | [
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surfance intergral question
January 24th 2011, 08:38 AM #1
Junior Member
Joined
Mar 2009
Posts
49
surfance intergral question
Hello
I need help with a surface integral problem. I don't seem to understand how to approach it.
My question is attached
Thanks
$F.n=1-\frac{x}{2}-\frac{y}{2... | 5 | [
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Justify S(n,n-1)= nC2
July 13th 2010, 08:38 PM #1
Justify S(n,n-1)= nC2
Is the following a valid combinatorial proof of the Stirling identity?
Prove S(n,n-1) = $\left({n\atop 2}\right)$.
First look at the partition of n into n blocks. We then have blocks $n_{1},n_{2},...,n_{n}$. Now if we partition n in... | 5 | [
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Finding all possible solutions between -pi <= theta <= pi for trig functions
March 15th 2013, 08:05 PM #1
Junior Member
Joined
Jan 2013
From
adelaide
Posts
26
I have just been solving for all possible angles between zero and 2pi using the knowledge that tan(theta)=tan(pi+theta) or sin(theta)=sin(pi-th... | 5 | [
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-0.003280639648437... | 34,645 | 34645 | |
Homework Help
Posted by Jason L on Monday, February 26, 2007 at 3:41pm.
It is known that the amount of time needed to change the oil in a car is normally distributed with a standard deviation of 5 minutes. A random sample of 100 oil changes yielded a sample mean of 22
minutes. Compute the 99% confidence interval estim... | 4 | [
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Definitely Integral
April 29th 2008, 12:02 PM
Isomorphism
Definitely Integral
To all Integral lovers,
In the Spirit of Integration....here is a popular integral (Thinking)
$\int\limits_0^{\frac {\pi }{4}} {\ln \left( {1 + \tan x} \right)dx}$
Well Enjoy,
Isomorphism
P.S: Elegant methods sc... | 5 | [
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Finding minimal polynomial
March 24th 2013, 12:25 PM #1
Junior Member
Joined
Aug 2012
From
Sweden
Posts
37
Thanks
1
Finding minimal polynomial
Here's an easy question: What is the minimal polynomial of (1/3)+(1/6)(1+sqrt(-3))((1/2)(25-3sqrt(69)))^(1/3) + (1-sqrt(-3))/(3*2^(2/3)(25-3sqrt(69))^(1/3... | 5 | [
-0.0020904541015625,
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0.02001953125,
-0.03076171875,
-0.00686645507812... | 34,648 | 34648 | |
trignometric equations help
April 22nd 2009, 10:57 AM
Tweety
trignometric equations help
Quote:
(b) The diagram shows part of the curve with equation y=cos(pxβq)Β° , where p and q are positive constants and q<180. The curve cuts the x-axis at points A, B and C, as shown.
Given that the coordinates of A a... | 4 | [
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0... | 34,649 | 34649 | |
Apply Lagrange's Theorem to demonstrate inequality
June 21st 2010, 10:39 AM #1
Junior Member
Joined
Jun 2010
Posts
44
Apply Lagrange's Theorem ["personal" topic]
Hi,
This is my first post. I have a slight problem. I know how to solve this exercise but there's something different here :/.
... | 5 | [
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Axially Symmetric Bulk Viscous String Cosmological Models in GR and Brans-Dicke Theory of Gravitation
ISRN Astronomy and Astrophysics
VolumeΒ 2013Β (2013), Article IDΒ 543483, 5 pages
http://dx.doi.org/10.1155/2013/543483
Research Article
Axially Symmetric Bulk Viscous String Cosmological Models in GR and Brans-Dicke Th... | 4 | [
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Algebra--please help!
Posted by Celina on Wednesday, December 17, 2008 at 3:42pm.
I really need help with my math homework today, because I am totally confused! Please give me the answer, but also walk me through it, too, so I can fully understand it, because just the answer won't
really help.
#1: A math teacher want... | 4 | [
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Math Help
September 1st 2008, 03:42 PM #1
Newbie
Joined
Sep 2008
Posts
4
Limits
1. $<br /> Suppose \mid f(x) \mid \leq \mid \frac{B}{x} \mid for\ all\ x\ not\ equal\ to\ 0.$
$Show\ that:<br /> \lim_{x \to 0} ~ x^2f(x)=0<br />$
2. $<br /> Suppose\ that\ \lim_{x \to 0} ~ f(x)=0\ and\ that\ \foral... | 5 | [
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Β
The global and UV B radiation over Egypt
... | 4 | [
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-0.052978515625... | 34,654 | 34654 | |
Does there exist a half-integer weight theta function which is is equivalent to 1 modulo 4?
up vote 7 down vote favorite
1
Given a quadratic form $F$ in $n$ variables, there is an associated theta function $\theta_F(z) = \sum_{m \in \mathbb{Z}} q^{F(m)}$, which is a modular form of weight $n/2$. Letting $F(m) = m^2$
... | 5 | [
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Solving traveling salesman problem in the AdlemanβLipton model
#
Β A
1
B
1
w
1
;
2
Β A
2
B
2
w
2
;
7
Β A
7
B
7
w
7
;
6
Β A
6
B
6
w
6
;
5
Β A
5
B
5
w
5
;
4
Β A
4
B
4
w
4
;
3
A
3
B
3
w
3
;
2
Β A
2
B
2
w
2
;
1
Β A
1
B
1
#
2
PΒ
which denote the path
vΒ
1
!
... | 4 | [
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... | 34,656 | 34656 | |
Word Problem And System
August 14th 2007, 11:12 PM
AHDDM
Word Problem And System
I need help on these two I can get some of the way on 1st but can't seem to get 2nd
1. You have a 2 digit number
a. Divide the Number by product of 2 digits get 1 remainder 16
b. Diffrence of digits squared added to Pro... | 4 | [
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-0.0072021484375... | 34,657 | 34657 | |
Applications of differentiation : Max and Minimization
August 19th 2009, 01:41 PM #1
Newbie
Joined
Aug 2009
Posts
3
Applications of differentiation : Max and Minimization
(1)A rectangular tank with no top and a volume of 8m3 is to be made from a sheet of metal. The width of the base is 4m. Show that the ... | 5 | [
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-... | 34,658 | 34658 | |
What is the name of this sequence/"function"?
December 3rd 2011, 10:33 AM
Feryll
What is the name of this sequence/"function"?
This is the number sequence a(x) whose outputs are determined by the greatest integer divisors n of any factorizations of x with the regulation that if a factor is repeated in the factor... | 4 | [
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Homework Help
Posted by steve on Wednesday, January 26, 2011 at 11:27pm.
what is the formula to calculate the following:
how much force is needed to move a 10 pound block 10 feet in 8 seconds>
β’ physics - drwls, Thursday, January 27, 2011 at 1:37am
Assuming there is no friction, proceed as follows.
The m... | 4 | [
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0.125,
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-0.126953125,... | 34,660 | 34660 | |
Parseval's Identity
November 10th 2011, 07:08 PM #1
Junior Member
Joined
May 2011
Posts
59
Parseval's Identity
I'm trying to prove Parseval's Identity.
"Let $\{v_1, ..., v_n\}$ be an orthonormal basis for $V$. For any $x, y \in V$ prove that $\langle x,y \rangle = \displaystyle\sum^n_{i=1} \langle x... | 4 | [
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0.0... | 34,661 | 34661 | |
Arithmetic Progression & Geometric Progression
March 19th 2009, 02:58 AM #1
Arithmetic Progression & Geometric Progression
Please teach me how to do qn 8 and 9. Qns 8 and 9 are attached.
And also this qn as well
Qn 3) The sum of the first 3 terms and that of the last 3 terms of an AP are 9 and 57 respec... | 4 | [
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0.0000824... | 34,662 | 34662 | |
Find a basis for the eigenspace
January 14th 2011, 02:23 PM
Arita
Find a basis for the eigenspace
B = 3 -4 4 eigenvalue = -1
-2 1 -2
-4 4 -5
Find a basis for the eigenspace corresponding to the eigenvalue -1.
So far I have:
-1-3 -4 4
-2 -1-1 -2
-4 4 -1--5
-4 ... | 5 | [
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0.0576171875,
-0.106933593... | 34,663 | 34663 | |
Homework Help
Posted by mateyo on Wednesday, March 14, 2012 at 11:00am.
factorise x^3-4x62-11x+2
β’ maths - Reiny, Wednesday, March 14, 2012 at 11:04am
check your typing, I suspect a typo.
β’ maths - Steve, Wednesday, March 14, 2012 at 2:38pm
x^3-4x62-11x+2
since ^ is shift-6, I suspect you meant:
... | 4 | [
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0.0207519531... | 34,664 | 34664 | |
Linear programming-Financial application
August 5th 2008, 08:23 PM
nonolee
Linear programming-Financial application
A company invests in short-term trade credits (TC), corporate bonds (CB), gold stocks (GS) and construction loans (CL). To encourage a diversified portfolio, the board of directors has placed
l... | 5 | [
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-0.02734... | 34,665 | 34665 | |
Couple Questions im stuck on.
November 11th 2006, 07:09 PM #1
Newbie
Joined
Nov 2006
Posts
4
Couple Questions im stuck on.
1) Let F: X -> Y be a function. Justify your answer to each question below by giving either a proof or a counter example.
a) Does f(A - B) = f(A) - f(B), for all A,B subsets of ... | 5 | [
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Homework Help
Posted by Katie on Sunday, December 30, 2012 at 7:27pm.
Find x and dx using trigonometric substitution of
(integral) square root of 4x^2 - 9 divide by x
x = 2/3 sec x
dx = 2/3 tan x dx
Is this right so far?
β’ Calculus II - Steve, Sunday, December 30, 2012 at 7:34pm
β«β(4x^2-9) dx
2x = 3se... | 5 | [
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... | 34,667 | 34667 | |
Eigenvalues and eigenfunctions
March 1st 2010, 07:57 AM #1
Eigenvalues and eigenfunctions
Find the eigenvalues and eigenfunctions for
$y''+\lambda y=0$, $0\leq x\leq1$
with the homogenous boundary conditions $y(0)=y'(1)=0$.
So I subbed in $y=e^{\alpha x}$ et cetera, and somewhere down the line en... | 4 | [
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0.021240234375,
-0.07666015625,
-0... | 34,668 | 34668 | |
Equation of circles
November 24th 2012, 01:24 AM
Thorpelizts
Equation of circles
So, I've attached both the question and my working inside.
for part 1, I'm not sure how to get the radius and for part 2, how to get the point?
November 24th 2012, 01:31 AM
Prove It
Re: Equation of circles
Quote:
I... | 4 | [
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-0.03515625,... | 34,669 | 34669 | |
Quaternion Julia Fractals
Quaternion Julia Fractals c = (-1,0.2,0,0)
Written by Paul Bourke
... | 4 | [
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HP-20S: TVM Solver
HP-20S: TVM Solver (uses built-in root finder)
Copyleft (C) 2003 Glen Kilpatrick
Distributed under GNU General Public License
This program is supplied without representation or warranty of any kind. The author and The Museum of HP Calculators therefore assume no responsibility and shall have no li... | 5 | [
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0.0072937011... | 34,671 | 34671 | |
Differentiating...
August 5th 2010, 11:06 AM #1
Member
Joined
Feb 2010
From
United States
Posts
155
Thanks
1
Differentiating...
Okay, so I'm finding the derivative of y = (5x - 1)^2 (3x + 7)^3
I've gotten it to y' = (5x - 1)^2 times 9(3x + 7)^2 + 10(5x-1) times (3x + 7)^3
My question i... | 5 | [
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0.033203125,
-0.08740234375,
0.1054... | 34,672 | 34672 | |
Integration
February 26th 2009, 10:23 AM #1
Newbie
Joined
Feb 2009
Posts
9
This is a table...
Concentration of Chemical A, x....|1 | 2| 3 |4 | 5 | 6 |7
Concentration of Chemical B, f(x)|12|16|18|21|24|27|32
Let me know if you need help figuring out that table.
So the 3 questions I am ha... | 4 | [
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-... | 34,673 | 34673 | |
solving inequality
March 9th 2009, 12:47 PM #1
Senior Member
Joined
Oct 2008
Posts
323
solving inequality
1. solve for x, xER using algebraic methods. Use a table to show your results.
$x^3-2x^2-x+2 > 0$
Can someone please guide me on this one?
Hello,
Factor $x^3-2x^2-x+2$
you can ... | 4 | [
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0.09375,
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-0.... | 34,674 | 34674 | |
Description
Using authentic data to make math meaningful to students, Jay Lehmannβs algebra series uses a curve-fitting approach to model compelling, real-world situations, while answering the perennial question
βBut what is this good for?β Beginning with interesting data sets, students are asked to find models and d... | 4 | [
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-0.0267333984375,
-0.000640869140... | 34,675 | 34675 | |
Trig Integrals
January 30th 2008, 12:50 PM #1
Newbie
Joined
Feb 2007
Posts
23
Could use some help with these:
1. The integral sin^6 x cos^3 x dx
2. The integral sin^2 x cos^4 x dx
Thanks!
Hello, coolio!
The first one is quite straight forward . . .
$1)\;\;\int \sin^6\!x\cos^3\... | 5 | [
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0... | 34,676 | 34676 | |
Mathematical Induction
Question: Use the principal of Mathematical Induction to prove 2|(n2+n) for all n>=0
for n=0, $2|(0^2 + 0) = 2|0$ suppose it is true that for n=k, $2|(k^2 + k)$. show that if n=k+1, then $2|((k+1)^2 + (k+1))$. now, $(k+1)^2 + (k+1) = k^2 + 2k + 1 + k + 1 = k^2 + k + 2k + 2 = k^2 + k
+ 2(k + 1)$.... | 4 | [
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0.03466796875,
0.02526... | 34,677 | 34677 | |
Vector space - proof or counterexample?
May 12th 2012, 08:42 AM #1
Junior Member
Joined
Jun 2007
Posts
62
Vector space - proof or counterexample?
Hi everyone,
Let V be a vector space over Z[p] (p a prime number), then every nonempty subset of V that is closed under addition is a subspace of V.
... | 5 | [
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0.0152587890625,
0.033... | 34,678 | 34678 | |
User:Timothee Flutre/Notebook/Postdoc/2011/06/28
From OpenWetWare
(Difference between revisions)
(βLinear regression by ordinary least squares: use rbinom with MAF when simulating genotypes + better (βLinear regression by ordinary least squares: improve notation)
PVE for multiple regression) ... | 4 | [
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Area and Pythagoras
August 2nd 2007, 05:09 PM #1
Area and Pythagoras
Hey! I couldn't find a section here that was dedicated to this topic, so i posted here:
I'm having trouble.
In my Textbook it has: Use (pie sign) = 3.14
1. (a) Draw the net of this cylinder/[it's a normal cylinder only it's on it's s... | 4 | [
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0.03540... | 34,680 | 34680 | |
Infosys Placement Paper 2011-2012 freshers
This is a short collections of infosys recuitment placement papers for 2011-2012.You can get some questions ideas to get placed in infosys.
1)Β If a die has 1,6 and 3,4 and 2,5 opposite each other how many such dies can be made.
2) There are three boxes , In one box Two wh... | 4 | [
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0.064453125,
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0.0286865234375,
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0.018798828125,
0.0223388671875,
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... | 34,681 | 34681 | |
Homework Help
Posted by claire on Wednesday, June 18, 2014 at 7:50pm.
Limit as x approaches zero of (sinx-(x^3/6)/x^5)
β’ math please help - MathMate, Wednesday, June 18, 2014 at 10:21pm
I assume you forgot the parentheses in the numerator,
Lim (sin(x)-(x^3/6))/x^5 as x->0
It would be easy to change s... | 4 | [
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Brazilian Journal of Physics
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PrintΒ versionΒ ISSN 0103-9733
Braz. J. Phys.Β vol.38Β no.3bΒ SΓ£o PauloΒ Sept.Β 2008
http://dx.doi.org/10.1590/S0103-97332008000400023Β
... | 4 | [
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-0.0034942626953125... | 34,683 | 34683 | |
Intergrating when f(x) is made up of two functions
September 26th 2009, 06:30 AM #1
Member
Joined
Feb 2009
From
Oxford
Posts
84
Hi, I would be very grateful if anyone could help me with this problem. I can pretty much see how you're meant to do this, but one bit is causing a large problem, the re... | 5 | [
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Quadratic equation question
June 2nd 2008, 10:34 PM #1
Newbie
Joined
Jun 2008
Posts
2
Quadratic equation question
If m is a solution of x^2=2x-1, show that
i) m^3=3m-2
ii) m^4 - m^2=2m-2.
The question did not ask us to find the value of m. And I do not think the solution would ibe finding the... | 4 | [
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-0.001... | 34,685 | 34685 | |
Math Help
March 6th 2009, 06:03 PM #1
Newbie
Joined
Oct 2008
Posts
18
infinite series
Imagine you are stacking an infinite number of spheres of decreasing radii on top of each other. The radii of the spheres are 1m, 1/2^(1/2)m, 1/3^(1/2)m, etc. . . The spheres are made of a
material that weighs 1 ne... | 5 | [
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... | 34,686 | 34686 | |
implicit differentiation
March 16th 2010, 02:58 PM #1
implicit differentiation
find $dy/dx$ by implicit differentiation
$\tan^3{(xy^2+y)} = 1$
didn't know how to deal with the $\tan^3$
the answer is:
$\frac<br /> {1-3y^2\tan^2(xy^2+y)\sec^2(xy^2+y)}<br /> {3(2xy+1)tan^2(xy^2+y)sec^2(xy^2+y)}$
... | 5 | [
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-0.054443359... | 34,687 | 34687 | |
integration using generalized power rule
January 30th 2007, 05:41 PM
thedoge
integration using generalized power rule
integral(x^5*(sqrt(13+x^6))
Here's what I did... but its apparently wrong
1. Realized I needed to use the generalized power rule
2. set x^6+13=u
3. set 6*x^5=du
4. solved fo... | 5 | [
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0.... | 34,688 | 34688 | |
3d Transformations with Matrices
βββββββββββββββββββββββββββββββββββββββββββββββ
βclass Matrix3d β
β{ public: β
β double Matrix[4][4]; β
β Matrix3d(); β
β void MatrixReset(); β... | 4 | [
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0.12890625,
-0.... | 34,689 | 34689 | |
convex set and extreme point
May 17th 2006, 10:09 PM #1
Junior Member
Joined
Feb 2006
From
Canada
Posts
45
An nxn matrix is called a permutation matrix if there is exactly one 1 in each row and column, and all other entries are 0.
An nxn matrix A=(aij) is called doubly stochastic if aij>=0 for al... | 5 | [
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-0.0549... | 34,690 | 34690 | |
Setting up Equations
Date: 03/10/2002 at 04:54:53
From: Gideon
Subject: Setting up equations correctly
Dear Dr Math,
I have two questions I am having trouble getting started with:
1) If X^2 > X what can you say about the value of X?
What I don't understand is how to set up the equation with a greater
than sign (a... | 4 | [
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... | 34,691 | 34691 | |
Upward vertical movement with air drag.
May 19th 2011, 05:56 AM #1
Newbie
Joined
May 2011
Posts
1
Upward vertical movement with air drag.
\hat{} Hi, here's the problem: "upward vertical movement with air drag"
speed = v; initial speed at t0 = v0; initial height x0 = 0
x= vertical distance travell... | 4 | [
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0.06982421875,
-0.00157165527343... | 34,692 | 34692 | |
Homework Help
Posted by Jake on Sunday, October 2, 2011 at 5:07pm.
Find the constant of proportionality for the following situation: "y is jointly proportional to x and z and inversely proportional to w."
w=2, x=5, y=4, and z=9
So i think the equation is y=xz/w
But what is the constant of proportionalit supposed to... | 4 | [
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0.10302734375,
-0.1103515625,
0.1044921875,
0.076171875,
0.056152343... | 34,693 | 34693 | |
Eventually bounded/bounded sequences - I can't complete the proof -_-
October 21st 2012, 05:23 AM #1
Eventually bounded/bounded sequences - I can't complete the proof -_-
Proposition
If a sequence is eventually bounded, then it is bounded.
Proof
Suppose $a_n \rightarrow a$ as $n \rightarrow \infty$... | 4 | [
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0.06396484375,
-0.002... | 34,694 | 34694 | |
Morphisms
1. Morphisms
When we defined affine schemes as functors on the category of Finite rings we were a bit vague on what exactly morphisms were. In the case of projective schemes we didnβt even try to define the
notion. A morphism of schemes f : X Y is a natural transformation of functors such that the graph is a... | 4 | [
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0.0208740234... | 34,695 | 34695 | |
MathGroup Archive: April 2002 [00394]
[Date Index] [Thread Index] [Author Index]
RE: Row vs. Column Vectors (or Matrices)
β’ To: mathgroup at smc.vnet.net
β’ Subject: [mg33932] RE: [mg33908] Row vs. Column Vectors (or Matrices)
β’ From: ... | 4 | [
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Infix to Postfix Expressions
- Convert Infix Expression to Post-Fix Expression
Conventional notation is called infix notation. The arithmetic operators appears between two operands. Parentheses are required to specify the order of the operations. For example: a + (b * c).
Post fix notation (also, known as reverse Pol... | 4 | [
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0.0295... | 34,697 | 34697 | |
Bianchi's entropy result-what to ask, what to learn from it
marcus
I'm not sure you understand. In the Loop papers I've seen where Ξ³ β 0 all the areas remain constant. Spin network labels are increased precisely in accordance with this requirement. So jΞ³ = const.
Having gamma, the Immirzi parameter, run does not nec... | 4 | [
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... | 34,698 | 34698 | |
Help Needed
April 26th 2009, 05:18 PM
mikel03
Help Needed
Hey im having trouble finishing the following question:
The Width of the river between A and B is to be measured. It is known that [ABD = 90 degrees and survey shows that [ADB = 38 degrees [ACB = 28 degrees and distance between C and D is 40 meters.
... | 4 | [
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