content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Proof of n-cube
March 31st 2009, 09:20 PM
smellatron
Proof of n-cube
Write down a proof that the n-cube cannot be realized as a planar graph for any n >=4.
I know I want to use the inequality of kF<=2E
and F=E-V+2 but I am not sure how to find the values.
A 4 cube has 16 nodes, and k = 3, so there a... | 4 | [
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Height of cone
pls teach me how to start amd solve part (A). thank you very much
$OQ$ is the slant height of the cone. The formula for the Total Surface Area of a cone is $\textrm{TSA} = \pi r^2 + \pi r s$ where $r$ is the radius and $s$ is the slant height. Note that $\pi r^2$
is the area of the circular base, so $\p... | 4 | [
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0... | 28,601 | 28601 | |
*Urgent* Differential Equations
Need to find the general solution of: y" + (1+2i)y' + (i-1)y = 0
There are numerous methods to solve 2nd Order Linear DE's, has your teacher specified a method to use? i.e. Method of Un-Determined Coefficients, Linear D operators (Forming an Auxillary eqn etc) ?
If none is specified, fo... | 5 | [
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mathematical induction again
July 30th 2007, 10:15 AM #1
Newbie
Joined
Jul 2007
Posts
5
mathematical induction again
I need to use mathematical induction to prove $2^n<n!$ for all n>=4. The base case is easy, and in the inductive step I get to $2(2^n)<(n+1)n!$ But am I going in the wrong direction, or am... | 4 | [
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Check my calculations ^_^
July 1st 2006, 11:58 PM #1
Junior Member
Joined
Jan 2006
Posts
38
Check my calculations ^_^
I keep trying this question over and over again, and keep getting the wrong answer. I was wondering if somebody would be nice enough to check my calculations, and see where I went wrong (... | 5 | [
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Minimium value
if x+y=1 then what is the min. value of x^3+y^3+xy ?
Another way to do it: $abla x+ y= <1, 1>$, $abla x^3+ y^3+ xy= <3x^2+ y, 3y^2+ x>$. We must have $3x^2+ y= \lambda$, $3y^2+ x= \lambda$ for some number $\lambda$, as well as x+y= 1. So $3x^2+ y= 3y^
2+ x$ which says that $3x^2- 3y^2+ y- x= 3(x- y)(x+ ... | 5 | [
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Conversions Guide For Square
Whenever the terms square and round cake tins enter a conversation, you can be assured that a question related to either of the following with crop up:
Question 1. Volumes
For a given size of tin, which one will hold a larger volume?
Question 2. Recipes
How do I adjust a recipe from a sq... | 4 | [
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Math Help
January 11th 2009, 08:48 AM #1
Member
Joined
Nov 2008
Posts
79
parabola
In need to write an equation for the parabola whose vertex is (4, 3), axis of symmetry is y = 3 and the measure of the latus rectum is 4; a > 0. I also need to draw this parabola.
A parabola is the set of all points i... | 4 | [
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kinda hard exponent problem
1. September 16th 2011, 07:33 AM #1
2. September 16th 2011, 08:38 AM #2
Re: kinda hard exponent problem
Reform the given equation to $y=...$
Afterwards replace $x$ by $2x$.
Then you'll see $y$ is increased by a factor ... ?
3. September 16th 2011, 08:44 AM #... | 4 | [
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"Let f and g be twice differentiable functions ..." - Derivitive problem
March 11th 2009, 03:36 PM
JTG2003
"Let f and g be twice differentiable functions ..." - Derivitive problem
There's a problem that our professor wanted us to look at and I'd really like to understand it. It says
"Let f and g be twice di... | 5 | [
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Complex numbers Factorization
Hello, I want to factorize the equation Z^n=1 over complex numbers I reached (x-1)(X^4+X^3+X^2+x+1) andd then got stucked
First of all, I don't know where x and X have come from, since your equation is in terms of z... Anyway, let $\displaystyle z = r\,e^{i\theta}$, then \displaystyle \be... | 5 | [
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find x and z which maximizes..
January 26th 2007, 02:16 PM
chogo
find x and z which maximizes..
does anyone know how to do this
find x and z that maximizes ln(4-x) + ln(4+z) + ln(z)
subject to
2 lnx + ln(4-z) + ln(4-z) = 2ln(32/7)
anyhelp is much appreciated
January 26th 2007, 02:51 PM
Capt... | 5 | [
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Need newbie help on Relations
December 8th 2007, 09:28 PM #1
Newbie
Joined
Dec 2007
Posts
4
Need newbie help on Relations
I'm stuck on relations, more specific on how to determine if something is reflexive, symmetric, antisemmetric and transitive
I understand everyone but transitive, Yea, I've read ... | 4 | [
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Equality Problem in Infinite-Dimensional Hilbert Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 813635, 5 pages
http://dx.doi.org/10.1155/2013/813635
Research Article
Regularization Method for the Approximate Split Equality Problem in Infinite-Dimensional Hilbert Spaces
Department of Mathematics... | 5 | [
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Finding Green's Function for ODE
[Math]u''+u = f(x)[/tex] $0<x<R$ $u(0) = 0 u(R) = 0$
1. Solve homogeneous equation $u'' + u = 0 \Rightarrow u = a\cos x + b\sin x$ 2. $LG(x,s) = 0$ for $x eq s$ $x < s, G_1(x,s) = a_1(s)\cos x + b_1(s) \sin x, G(0, s) = 0 \Rightarrow a_1(s) = 0$ $x >
s, G_2(x, s) = a_2(s)\cos x + b_2(s... | 5 | [
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Number of divisors problem
December 6th 2010, 06:03 PM
Arzx
Number of divisors problem
I'm trying to solve the problem of how many solutions (x,y) there are to:
$1/x + 1/y = 1/n$
for a fixed positive integer n and positive integers x and y.
I've been told that this equates to finding the # of diviso... | 4 | [
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Edge Colorings of Directed Graphs which Respect an Involution
up vote 5 down vote favorite
Let G be a graph and let C be a set of coloring. Suppose that there is an involution $\phi$ from C to C. We can think about the element of C as the nonzero elements of some Abelian group and $\phi(x)
=-x$. (For concreteness we ... | 4 | [
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Math Help
June 12th 2009, 07:30 PM #1
Newbie
Joined
Jun 2009
Posts
5
modulus
1. simplify (9mod2x-1)-(2mod6x-3) and solve the equation
9mod2x-1 = (9+2mod6x-3)
2.find the values of a and b for which 2x^2+4x-3 can be expressed in the form (2x+a)^2 +b
More parentheses! Do you mean '9 (mod 2) x... | 4 | [
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Calculus Help
1. February 22nd 2006, 12:49 PM #1
Calculus Help
Last edited by MathGuru; February 22nd 2006 at 01:49 PM.
2. February 22nd 2006, 09:03 PM #2
The usual trapezoidal approximation for a definite integral is:
$<br /> \int_a^b f(x)\ dx=\frac{h}{2} (y_0 + 2y_1+2y_2+...+2y_{... | 4 | [
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Need Help setting up word problems
March 19th 2009, 05:16 PM #1
Junior Member
Joined
Feb 2009
Posts
31
Need Help setting up word problems
Here are a couple of word problems that are hard to for me to start. If anyone could help, it would be greatly appreciated. thanks!!
Problem 1:
The sum of 2 n... | 4 | [
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polynomial Inequalities
October 4th 2013, 07:30 AM
darkangel06
polynomial Inequalities
The function s(t)= -1/2gt^2 +v[0]t +S[o] can be used to calculate s, the height above a planet's surface in meters, where g is the acceleration due to gravity t is the time in seconds,V[o] is the
initial velocity in meters... | 4 | [
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max, min, inflections
October 25th 2006, 12:15 PM #1
Junior Member
Joined
Oct 2006
Posts
71
max, min, inflections
. Let f(x) = x2ex
(a)Find all of the local maxima and minima
(b)find point of inflection
(c)determine largest interval in which f(x) is concave downward.
(d) evaluate lin x->-... | 5 | [
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Finding the square
June 2nd 2009, 08:24 PM #1
Newbie
Joined
May 2009
Posts
12
Finding the square
Can someone please explain to me the steps of how to complete the square and then write the parabola y=x^2+6x+5 in the form (x-h)^2 = 4a(y-k).
Also from this how do I find the vertex, focus and the equat... | 4 | [
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Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 468206, 8 pages
http://dx.doi.org/10.1155/2013/468206
Research Article
Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form
^1Young Researchers and Elite Cl... | 5 | [
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Non-isomorphic groups of order 42.
February 15th 2009, 07:44 AM #1
Member
Joined
Aug 2008
Posts
97
Non-isomorphic groups of order 42.
Is the following argument correct, thanks
I want to find 3 non-isomorphic groups of order 42.
1) C_42 th cyclic group of order 42 is cyclic hence abelian.
2)... | 4 | [
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Sketching a node, can anyone answer this query?
December 20th 2012, 04:51 AM
darren86
Solved: Sketching a node, can anyone answer this query?
i've got the dynamical system:
xdot=-2x
ydot=-y
Now I have solved the system and found the general solution:
x(t)=Ae(^-2t)v + Be(^-t)u, where v=(1,0), u... | 4 | [
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the encyclopedic entry of red black
A
red-black tree
is a type of
self-balancing binary search tree
, a
data structure
used in
computer science
, typically used to implement
associative arrays
. The original structure was invented in
1972
by
Rudolf Bayer
who called them "symmetric binary
B-trees
", but ... | 4 | [
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0.0303955078125,
0.041748046875,
-0.040771484375,
-0.076171875,
0.08251953125,
-0.036376953125,
0.0390625,... | 28,626 | 28626 | |
Classification of Exact Solutions for Generalized Form of
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 742643, 11 pages
http://dx.doi.org/10.1155/2013/742643
Research Article
Classification of Exact Solutions for Generalized Form of Equation
Department of Mathematics, Faculty of Science, Firat Unive... | 5 | [
-0.1533203125,
0.003204345703125,
0.1181640625,
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0.048583984375,
0.033935546875,
-0.0172119140625,
-0.039306640625,
-0.... | 28,627 | 28627 | |
Interpolation Methods for Stochastic Processes Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 152043, 12 pages
http://dx.doi.org/10.1155/2013/152043
Research Article
Interpolation Methods for Stochastic Processes Spaces
^1Lomonosov Moscow State University (Kazakh Branch) and Gumilyov Eurasian Na... | 5 | [
-0.1171875,
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0.001113891601562... | 28,628 | 28628 | |
I need to solve this D. E. (( plz help ) #2
Suppose you had $x-e^x=c$ and you know that if you can put it into the form $k=ge^{g}$, then you can take the Lambert W function of both sides and obtain $g=W(k)$. So, can you get $x-e^x=c$ into the
form $-(x-c)e^{-(x-c)}=-e^{c}$ and then taking the W function of both sides g... | 4 | [
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0.058349609375... | 28,629 | 28629 | |
Need help Solid Geometry
July 30th 2013, 02:58 AM #1
Newbie
Joined
Jul 2013
From
Philippines
Posts
5
Need help Solid Geometry
We had this as a seatwork..couldn't answer it. My classmates answered it but I am doubtful about their answers I'll explain later
1. Given right circular cylinder circums... | 4 | [
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0.0625,
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-0.045166015625,
0.0703125,
-... | 28,630 | 28630 | |
Taylor series calculation and approximation help please
October 27th 2012, 01:10 PM #1
Newbie
Joined
Oct 2012
From
Edmonton
Posts
13
Taylor series calculation and approximation help please
Calculate the Taylor series for (x^5) + (3x^2) - x - 1 about x= 1. Calculate it's radius of convergence. How acc... | 5 | [
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-0.01263427734375,
-0... | 28,631 | 28631 | |
Algebraic Characterization of Isometries of the Hyperbolic 4-Space
ISRN Geometry
Volume 2012 (2012), Article ID 757489, 12 pages
http://dx.doi.org/10.5402/2012/757489
Research Article
Algebraic Characterization of Isometries of the Hyperbolic 4-Space
Indian Institute of Science Education and Research (IISER) Mohali,... | 4 | [
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... | 28,632 | 28632 | |
Line Integrals
P: 1,047
Thanks, HallsofIvy, but I wasn't referring to integrals of vector functions. Here are examples of the types of integrals I meant.
Say we have a function
f(x,y)=2x (so it's actually independent of y)
and the curve y=x^2 and we want the integral of that function along the curve from (0,0) to (1,... | 5 | [
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... | 28,633 | 28633 | |
Borel-Cantelli lemmas
August 14th 2009, 03:47 AM #1
Junior Member
Joined
Sep 2008
From
Boston, Massachusetts
Posts
41
Characteristic Function of a symmetric RV
A random variable $X$ is called symmetric if $X$ and $-X$ have the same distribution. Show that the characteristic function of a symmetric ra... | 5 | [
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-0.064453125... | 28,634 | 28634 | |
An integral - Riemann's derivation of number of primes
November 12th 2010, 05:43 PM #1
Member
Joined
May 2008
From
Melbourne Australia
Posts
203
Thanks
15
An integral - Riemann's derivation of number of primes
OK so I am not sure if this problem is analysis, number theory or calculus.
I am r... | 4 | [
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NUKEFACT
NUKEFACT #33
THE ANATOMY of a REACTOR SCRAM
last update October 15, 1998
Reactor scram is used for rapid reactor shutdown ... the ultimate safety action used to prevent reactor core damage in abnormal or emergency situation... | 4 | [
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Non-observable vs. observable heterogeneity factor
September 11, 2013
By arthur charpentier
This morning, in the ACT2040 class (on non-life insurance), we’ve discussed the difference between observable and non-observable heterogeneity in ratemaking (from an economic perspective). To
illustrate that point (we will sp... | 5 | [
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-0.0583... | 28,637 | 28637 | |
Help with rref function
March 16th 2009, 11:14 AM #1
Newbie
Joined
Mar 2009
Posts
5
Help with rref function
I have a Ti30x and my instructor is telling me that I need to perform this problem using the rref function, which the Ti30x doesnt have. I have to show a ck for my solution also. Can anybody
he... | 4 | [
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-0.130859375,
0.025... | 28,638 | 28638 | |
Innovation: Accuracy versus Precision
A Primer on GPS Truth
By David Rutledge
True to its word origins, accuracy demands careful and thoughtful work. This article provides a close look at the differences between the precision and accuracy of GPS-determined positions, and
should alleviate the confusion between the ter... | 4 | [
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0.0893554... | 28,639 | 28639 | |
Finding the trig expression
May 12th 2010, 12:03 AM #1
Super Member
Joined
Dec 2008
Posts
509
Finding the trig expression
Hi
I am having trouble getting the expression for the following:
1) Write $\frac{tan^2(x)+sec^2(x)}{tanxsec(x)}$ in terms of sin(x)
This is what i have done so far:
... | 4 | [
-0.048095703125,
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0.0194091796875,
0.037109375,
0.0419921875,
-0.039794921875,
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0.054931640625,
0.01806640625,
0.0223388671875,
0.0211181640625,
0.0634765625... | 28,640 | 28640 | |
well-ordering principle
November 7th 2007, 01:31 PM #1
well-ordering principle
Let a and b be positive integers. By the well-ordering principle the non-empty set of positive integers
am+bn such that m,n are integers and am+bn is greater than 0 has a minimum element c. Prove by contradiction that c is a commo... | 5 | [
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0.0380859375,
-0.041015625,
0.051025390625,
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0.0279541015625,
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-0.043701171875,
0.033203125,
0.00018215179443359375,
0.078125,
-0.0015869140625... | 28,641 | 28641 | |
sketch
We have $f(z)=z^3,\quad 0<r\leq 2/3,\quad 0\leq t\leq \pi/4$ then consider $f(z)=r^3 e^{3 it}$ and just for now, let r=1, and t go from 0 to $\pi/4$ then wouldn't that be an arc of radius one but
going from 0 to $3\pi/4$? Same dif for all the other arcs as the radius goes from zero to $2/3$ then we have the piec... | 4 | [
0.0218505859375,
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0.07177734375,
0.04541015625,
-0.07958984375,
0.01287841796875,
... | 28,642 | 28642 | |
changing expression
September 26th 2009, 12:15 PM
Tweety
changing expression
Hi,
I was just wondering if you have an expression like this $sec^{4} \theta - tan^{4} \theta$ and if I take the sqaure root of this expression would it end up looking like this ; $sec^{2} \theta -
tan^{2} \theta$?
thanks!... | 4 | [
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0.046630859375,
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0.03662109375,
0.07958984375,
-0.002655029296875,
0.018... | 28,643 | 28643 | |
trigonometric
March 16th 2009, 08:57 PM #1
Newbie
Joined
Mar 2009
Posts
1
trigonometric
I have 2 questions:
1. find for z ; where z^3=sqrt[imaginary]
2. Simplify: sin x/(1-cos x)
can somebody help me with these 2 questions showing working out?
Please & Thank You
Last edited by... | 5 | [
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0.0114... | 28,644 | 28644 | |
A question on Bijective functions
October 23rd 2012, 02:31 AM
barbiedise
A question on Bijective functions
I was just taught a formula to solve bijective functions, its shown below:
a[(x +b/2a)^2 - (b^2 - 4ac)/4a^2]
It was used to solve the following problem:
f(x) = 4x^2 - 2x + 3
write f(x) i... | 5 | [
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0.029296875,
0.0625,
-0.020263671875,
0.002105712890625,
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0.0223388671875,
-0.0289306640625,
0.0859375,
0.064453125,
-0.06640625... | 28,645 | 28645 | |
I can't transform this correctly.
December 1st 2011, 07:44 PM #1
Newbie
Joined
Nov 2011
Posts
7
I can't transform this correctly.
With this transformation problem, I need to transform cotxcosx + sinx into cscx and I've been at this for a while and would like to know how to do it correctly.
Re: I can't t... | 4 | [
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-0.0242919921875,
0.03369140625,
0.... | 28,646 | 28646 | |
Triangle Ratios
November 11th 2009, 04:33 AM #1
Junior Member
Joined
Sep 2009
Posts
32
Triangle Ratios
Triangle ABC is a 30-60-90 triangle, where A is 30º, B is 90º, and C is 60º. A segment BD is the drawn altitude to AC, forming ΔADB, then DE is the altitude drawn to AB,forming new ∆ADE. Then, EF
is... | 4 | [
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0.041015625,
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0.0595703125,
-0.0537109375,
-0.028564... | 28,647 | 28647 | |
convergence or divergence
sqrt(n^2+n)-n |cos(n*pi/2)+sin(n*pi/2|(2n-1)/(n+2) i can kind of start the first one and can't start the second one. any ideas?
So do you not want help with the first one? I cannot understand what you mean at all in number 2. Please rewrite with more parentheses. I don't know what you mean by... | 5 | [
-0.03125,
-0.01275634765625,
-0.00872802734375,
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-0.0771484375,
0.06787109375,
-0.04150390625... | 28,648 | 28648 | |
Answer 3 (applications-differentiation-5)
NOTE: This question is fairly sophisticated and is here to show you some of the complications that can occur. If you don't fully understand it now, don't worry!
1. x-intercepts
`y=x^5-5x^4`
`=x^4(x-5)`
`=0`
when `x = 0`, `x = 5`
2. y-intercepts:
When ... | 5 | [
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-0.035400390625,
-0... | 28,649 | 28649 | |
Problem 17
January 29th 2007, 07:20 AM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Problem 17
1)Take any three digit number with different digits. Reverse the order of the digits. And find the difference between these two numbers. Consider this result as a three d... | 5 | [
-0.0026092529296875,
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0.00238037109375,
-0.0281982421875,
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0.021728515625,
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0.03662109375,
0.0712890625,
0.025634765625,
-0.0634765625,
-0.0157470703125,
0.0361328125,
0.055908... | 28,650 | 28650 | |
Linear algebra question
May 9th 2007, 03:21 PM
faure72
Linear algebra question
If anyone could explain how the following is done, it would be greatly appreciated!
*Note that (+) denotes the vector addition symbol (which is displayed in textbooks as a circle with a plus sign inside it)
Here is a vector ... | 4 | [
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0.03125,
0.06884765625,
-0.06884765625,
0.015869140625,
0... | 28,651 | 28651 | |
Prime numbers
From HaskellWiki
1 Simple Prime Sieve
The following is an elegant way to generate a list of all the prime numbers in the universe:
primes :: [Integer]
primes = sieve [2..]
where sieve (p:xs) = p : sieve [x | x<-xs, x `mod` p /= 0]
While simple, this method is rather inefficient and not recomm... | 4 | [
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0.0283203125,
0.0076599121093... | 28,652 | 28652 | |
Public Project Portfolio Optimization under a Participatory Paradigm
Applied Computational Intelligence and Soft Computing
Volume 2013 (2013), Article ID 891781, 13 pages
http://dx.doi.org/10.1155/2013/891781
Research Article
Public Project Portfolio Optimization under a Participatory Paradigm
^1Faculty of Engineeri... | 4 | [
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0.04345703125,
-... | 28,653 | 28653 | |
2. Graphs of
2. Graphs of y = a sin bx and y = a cos bx
by M. Bourne
The variable b in both of the graph types
• y = a sin bx
• y = a cos bx
affects the period (or wavelength) of the graph. The period is the distance (or time) that it takes for the sine or cosine curve to begin repeating again.
Interactive - ... | 4 | [
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0.0177001953125,
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0.0302734375,
-0.0301513671875,
0.0291748046875,
-0.07470703125,
0.0732421875,
0.04443359375,
-0.010986328125,
-... | 28,654 | 28654 | |
Programming for all, part 2: From concept to code
Do one thing, and do it well
In our first installment, we wrote several programs that really did nothing more than illustrate a concept. Let's turn the complexity up a notch and compose a program that actually solves a problem.
The problem we are tasked with: given t... | 4 | [
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0.0517578125,
-0.0... | 28,655 | 28655 | |
[SOLVED] Equation of a plane - Given z intercept and parametric equation
May 23rd 2010, 10:05 AM #1
Member
Joined
Sep 2009
Posts
83
[SOLVED] Equation of a plane - Given z intercept and parametric equation
Hey,
I have been working on this question for the past couple days (searching the internet, sea... | 5 | [
-0.10888671875,
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0.04150390625,
-0.0625,
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... | 28,656 | 28656 | |
Law of an application
March 14th 2010, 08:40 AM #1
Law of an application
Hi,
I'm currently reading a paper, and I'm having difficulties in grasping the concept of a tree, and more precisely this :
Let $\mathbb{T}~:~ \Omega \to\Omega$ be the identity application.
Let $(p_k,k\geq 0)$ be a probability... | 5 | [
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0.015869140625,
0.04345703125,
-0.07275390625,
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... | 28,657 | 28657 | |
New Travelling-Wave Solutions for Dodd-Bullough Equation
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 364718, 5 pages
http://dx.doi.org/10.1155/2013/364718
Research Article
New Travelling-Wave Solutions for Dodd-Bullough Equation
^1School of Information, Beijing Wuzi University, Beijing 101149, Chin... | 5 | [
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-0.0649414062... | 28,658 | 28658 | |
Flagpole question...sin, cos, tan.....urgent help please
November 8th 2007, 12:23 PM #1
Member
Joined
Aug 2007
Posts
182
Flagpole question...sin, cos, tan.....urgent help please
I have this problem...i know the answer (from the back of the book) but I have no idea how to solve this....could someone pleas... | 4 | [
-0.022705078125,
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0.052490234375,
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0.0191650390625,
0.058837890625,
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0.08935546875,
0.0751953125,
0.049560546875,
-0.050537109375,
0.03344... | 28,659 | 28659 | |
Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 672167, 10 pages
http://dx.doi.org/10.1155/2014/672167
Research Article
Existence Results for a Coupled System of Nonlinear Fra... | 5 | [
-0.09521484375,
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0.01104736328125,
0.0390625,
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0.00994873046875,
0.013854980468... | 28,660 | 28660 | |
Help With A Grid
Looks like this to me: Rectangular portion below first roof angle is 5 X 8 minus the doors (6) = 34 squares From first roof angle to second roof angle we have a trapezoid with bases 8 and 4 with
height 1. Using $A=\frac{1}{2}h(b_1+b_2)$, we can find the area of the trapezoid to be 6 squares The remaini... | 4 | [
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-0.0... | 28,661 | 28661 | |
diophantine equation problem
August 31st 2008, 06:53 PM #1
Junior Member
Joined
Aug 2008
Posts
42
diophantine equation problem
Find all solutions to the equation $x^2 + y^3 = z^2,\ x>0,\ y>0,\ z>0,\ (x,y,z)=1$
not a clue where to start with this. The book does not say anything about what to do when ... | 5 | [
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... | 28,662 | 28662 | |
Calc related rates
September 3rd 2009, 05:55 AM #1
Junior Member
Joined
May 2008
Posts
27
Calc related rates
Hello, can someone please help me to set this problem up. Let theta(in radians) be an acute angle in a rt triangle, and let x and y respectively be the lengths of the sides adj and opp to theta.
... | 5 | [
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-0... | 28,663 | 28663 | |
cost volume profit and break even
February 15th 2010, 06:56 PM #1
Member
Joined
Nov 2008
From
windsor ont cAN
Posts
87
cost volume profit and break even
a) Sales = T R = 1,200,000 VC = TVC / TR = 50%
FC = 400,000
TVC = 600,000
N.I. ( S – VC ) x – FC > N.I.= ( 1 – 0.5 )x – 400,000... | 4 | [
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The Effect of Energy Leakage Probability on Burn Propagation in an Optically Thick Fusion Plasma
ISRN High Energy Physics
Volume 2012 (2012), Article ID 838394, 10 pages
http://dx.doi.org/10.5402/2012/838394
Research Article
The Effect of Energy Leakage Probability on Burn Propagation in an Optically Thick Fusion Pla... | 4 | [
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0.008911132... | 28,665 | 28665 | |
Stock Valuation with Constant Growth Rate
March 14th 2010, 01:35 PM #1
Hi,
This is my first time posting on this forum. If a company pays a quarterly dividend of $0.75, with a dividend growth rate of 6% per year (indefinitely), and with a required rate of return of 14%,
what is the price of the stock?
... | 5 | [
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0... | 28,666 | 28666 | |
integral of trig function
April 27th 2007, 09:00 PM #1
integral of trig function
Hey All,
I wanted to know when you integrate sin^4x where the 4 comes from in the integral.
∫sin^4x dx= ∫(sin^2x)^2 dx= ∫(1-cos2x)^2/4 dx
thank you
I'm sure you've seen the trig identities enough to be familiar wi... | 4 | [
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0.... | 28,667 | 28667 | |
Probability of having the same birthday
February 18th 2010, 03:38 AM #1
Newbie
Joined
Jan 2010
Posts
7
Probability of having the same birthday
I think I know how to do the problem, but I run into the problem that in Excel, the numbers that need to be calculated are too large and thus I cannot get an answ... | 5 | [
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... | 28,668 | 28668 | |
need help with a trig problem
this is the problem: 2 csc²x=3 cot²x-1 this is what I have so far: see attached file
$\frac{2}{sin^2(x)} = \frac{3cos^2(x)}{sin^2(x)} - 1$ Getting the same denominator on the right: $\frac{3cos^2(x) - sin^2(x)}{sin^2(x)}$ Now $sin^2(x)$ will cancel $2 = 3cos^2(x) - sin^2(x)$ $2 =
3cos^2(... | 4 | [
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0.01300048828125,
0.018310... | 28,669 | 28669 | |
directional dervitives.
April 22nd 2009, 04:29 PM #1
directional dervitives.
given f(x,y)=x^2+y^2-2x-4y find all points at which the direction of the directional dervitive of fastest change u=i + j, i did the maximinzing the directional dervitive and stuff i got all
points on the line 1-x=y the book has y=1+x... | 4 | [
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0.01446533203125,
-0.036621093... | 28,670 | 28670 | |
A-algebra, element that is integral and finite A-module, explanation a proof
December 12th 2012, 12:02 AM #1
Member
Joined
Sep 2010
From
Germany
Posts
112
Thanks
4
An A-algebra, element that is integral and finite A-module, proof explanation
let $\varphi A\to B$ be an A-algebra and let $y\in B$ t... | 4 | [
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-0.0164794921875,... | 28,671 | 28671 | |
Testing Series for Convergence/Divergence
May 16th 2010, 01:44 PM #1
Newbie
Joined
May 2010
Posts
1
Testing Series for Convergence/Divergence
Hey everyone, I'm doing some practice problems to study for my calculus exam and can't seem to figure this one out. What am I missing?
sum from n=1 to infinit... | 5 | [
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... | 28,672 | 28672 | |
Is it possible to find out the length of X in this diagram?
1. May 15th 2012, 08:00 AM #1
2. May 15th 2012, 08:45 AM #2
Re: Is it possible to find out the length of X in this diagram?
I assume these are squares inscribed in circles. Let the circle radius be r. From trigonometry or Pythagorean theorem it... | 4 | [
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0.01324462890625,
-0.02990722656... | 28,673 | 28673 | |
Three boxes of supplies have an average weight of 7 kgs and
Author Message
TAGS:
Three boxes of supplies have an average weight of 7 kgs and [#permalink] 28 Sep 2007, 10:18
... | 4 | [
0.025390625,
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0.03125,
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Evolutionary Game Theory-Based Collaborative Sensing Model in Emergency CRAHNs
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 696571, 14 pages
http://dx.doi.org/10.1155/2012/696571
Research Article
Evolutionary Game Theory-Based Collaborative Sensing Model in Emergency CRAHNs
Departmen... | 4 | [
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0.0869140625,
-0.... | 28,675 | 28675 | |
Word Problem
June 6th 2010, 10:00 PM #1
Newbie
Joined
May 2010
Posts
15
Word Problem
A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 36 ft/s2. What is the distance covered before the car comes to a stop? (Give your answers
correct to one decimal p... | 4 | [
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0.00573... | 28,676 | 28676 | |
Comparison of Reproducing and Nonreproducing Starprobe Strategies
Comparison of Reproducing and Nonreproducing Starprobe Strategies for Galactic Exploration
Francisco Valdes... | 4 | [
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-0.084472656... | 28,677 | 28677 | |
Quadratics Factoring 2
April 21st 2013, 11:43 AM #1
Member
Joined
Feb 2013
From
Canada
Posts
131
Quadratics Factoring 2
Factor: 3(2z + 3)^2 - 9(2z + 3) - 30
My attempt:
3(2z + 3)^2 - 9(2z + 3) - 30
3x^2 - 9x - 30 Replace (2z +3)^2 and (2z +3) with a variable (I choose x)
3(x^2 - 3... | 4 | [
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0.02392578125,
-0.0005683898... | 28,678 | 28678 | |
surface area of a light bulb
December 2nd 2008, 10:29 PM
BigPapa
surface area of a light bulb
can someone how to do this problem please?
Find the surface area of an ornamental light bulb designed by revolving the graph of y=(1/3)x^(1/2)-x^(3/2), on the interval 0 to 1/3, about the x axis.
December 2nd 2008... | 4 | [
0.03662109375,
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0.0291748046875,
0.10107421875,
0.0000438690185546875,
0.0196533203125,
-0.1225585937... | 28,679 | 28679 | |
Dynamics question involving impulse momentum
April 20th 2008, 04:40 PM #1
Member
Joined
Jun 2006
Posts
93
Dynamics question involving impulse momentum
The question is:
A 5oz baseball is 3ft above the ground when it is struck by a bat. The horizontal distance to the point where the ball strikes the g... | 4 | [
0.046875,
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0.03369140625,
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0.09765625,
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-0.0166015625,
0.0191650390625,
0.056884765625,
-0.03466796875,
-0.051513671... | 28,680 | 28680 | |
Integration of Exponential Functions
Hello Sarah, use substitution: $u(x)=1+2^x=1+e^{\ln(2) \cdot x}\ \Longrightarrow\ \frac{du}{dx}=\ln(2) \cdot e^{\ln(2) \cdot x}=\ln(2) \cdot 2^x$. That means: $du=\ln(2) \cdot 2^x \cdot dx$ With $\
int{\frac{2^x}{1+2^x}}dx=\frac{1}{\ln(2)}\int{\fr ac{\ln(2) \cdot 2^x}{1+2^x}}dx=\fra... | 5 | [
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0.005645751953125,
... | 28,681 | 28681 | |
Calculus (Derivatives of Inverse Functions)
Posted by Mooch on Thursday, March 15, 2012 at 11:35am.
Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^-1(x) exists, the derivative of f^-1(x) with respect to x is:
I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this i... | 5 | [
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0.0263671875,
-0.0898... | 28,682 | 28682 | |
need help for simultaneous equation
August 23rd 2009, 10:36 PM #1
Junior Member
Joined
Aug 2009
Posts
31
the two equations are
-2x -5y =21
9x -7y = -65
I have tried all methods and i keep getting different answers, could somebody help me?
$\left\{\begin{array}{ll}-2x-5y=21\\9x-7y=-65\e... | 4 | [
-0.028076171875,
0.03515625,
0.01031494140625,
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0.005279541015625,
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0.10546875,
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0.0751953125,
0.01129150390625,
0.01483154296875,
0.02490234375,
-0.1650390625,
-0.0488... | 28,683 | 28683 | |
Probability Density Functions Variance
September 25th 2009, 12:50 PM #1
Junior Member
Joined
Sep 2009
From
Over there
Posts
30
Probability Density Functions Variance
I know how to calculate the variance of a set of numbers but not of a probability density function. I'm guessing it requires some calcu... | 5 | [
0.0732421875,
0.0225830078125,
0.09619140625,
0.0089111328125,
-0.03173828125,
0.0267333984375,
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0.08154296875,
-0.010986328125,
0.0120849609375,
-0.0281982421875,
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0.055908203125,
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-0.05810546875,
-0.05224609375,
0.02197265625,
0.03063964843... | 28,684 | 28684 | |
Learn about Division of Fractions
Learn about Division of Fractions This video lesson covers division of fractions. We’ll solve two problems. The first one, let’s do this first, is 7/15÷4/5. We’ve got two fractions. One is dividing
the other. Now, first thing we need to know is the division of fractions is the same as ... | 4 | [
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0.0263671875,
0.105... | 28,685 | 28685 | |
The use of weakening
October 4th 2011, 10:19 AM #1
Junior Member
Joined
Jul 2011
Posts
53
The use of weakening
I'm a bit confused by the use of /\ and \/ weakening, I've the following exercise.
Show that $(P \implies Q) \implies \lnot P \models \lnot P \lor \lnot Q$
Now I can go about the lefthan... | 5 | [
0.029541015625,
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the encyclopedic entry of symmetric matrices
In
linear algebra
, a
symmetric matrix
is a
square matrix
,
A
, that is equal to its
transpose
$A = A^\left\{T\right\}. ,!$
The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are writ... | 4 | [
-0.07763671875,
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0.00885009765625,
0.044189453125,
0.01470947265625,
... | 28,687 | 28687 | |
fermat...or not fermat?
October 22nd 2006, 09:10 AM #1
Junior Member
Joined
Sep 2006
Posts
26
fermat...or not fermat?
proove that if a prime number is represented by this phormula p=(2^n)+1 with n>0 then n is a power of 2... it's all for you...
The important fact is that, we can factor:
$x^n+y^n... | 4 | [
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-0... | 28,688 | 28688 | |
Rational numbers with dense orbits in [0,1] under iteration by f(x)=4x(1-x)
up vote 11 down vote favorite
3
Let $f(x)=4x(1-x)$.
For which rational numbers $r\in [0,1]$ is the sequence $f^n(r)$, $n\in \mathbb N$, dense in $[0,1]$ ? $(f^n(r)=f\circ f\circ ...\circ f(r)$ n times)
I would be happy to find a single rati... | 4 | [
0.052001953125,
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0.059326171875,
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0.0673828125,
-0.01513671... | 28,689 | 28689 | |
The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 702681, 21 pages
http://dx.doi.org/10.1155/2012/702681
Research Article
The Effects of MHD Flow and Heat Transfer for the UCM Fluid ove... | 5 | [
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... | 28,690 | 28690 | |
Need help on simplifying each of the following.
September 23rd 2007, 09:52 AM #1
Member
Joined
Sep 2007
Posts
140
Need help on simplifying each of the following.
I'd appreciate any help that I get in solving these problems.
I'll upload an image because it'll be easier for you all to read the problem... | 4 | [
0.004302978515625,
0.0028228759765625,
-0.0272216796875,
0.03173828125,
0.0164794921875,
-0.037353515625,
0.032958984375,
-0.03173828125,
-0.018310546875,
0.0419921875,
0.0252685546875,
-0.01080322265625,
0.0458984375,
0.06884765625,
0.09814453125,
0.1904296875,
-0.1220703125,
0.05... | 28,691 | 28691 | |
Uniform Attractor and Approximate Inertial Manifolds for Nonautonomous Long-Short Wave Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 830715, 17 pages
http://dx.doi.org/10.1155/2013/830715
Research Article
Uniform Attractor and Approximate Inertial Manifolds for Nonautonomous Long-Short Wave E... | 5 | [
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0.048583984375,
0.03564453125,
-0.0301513671875,
-0.069... | 28,692 | 28692 | |
More Trigonometric Help Need!
August 25th 2008, 10:54 AM
nee
More Trigonometric Help Need!
solve the equation for solutions over the interval [0, 360)
4cos(squared)x + 4cosx = 1
I'm completely lost on this one!
August 25th 2008, 11:11 AM
Moo
Hi !
Quote:
For you to better understand, su... | 4 | [
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0.0179443359375,
-0.0... | 28,693 | 28693 | |
Equation of a tangent line
October 31st 2008, 03:33 PM #1
Newbie
Joined
Oct 2008
Posts
2
Equation of a tangent line
I have the following exponential equation
(x^3 + 2)(x^2 + X)
Find the equation of the tangent line when x=1
This is what I do to get the derivative
(3x^2)(x^2 + x) + (2x ... | 4 | [
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0.05078125,
-0.061767578125,
-0.029418945... | 28,694 | 28694 | |
Slope of the perpendicular line question
February 9th 2011, 04:07 PM #1
Member
Joined
Nov 2010
Posts
119
Slope of the perpendicular line question
Question:
At what point on the curve $y=-2x^4$ is the tangent line perpendicular to the line $x-y+1=0$?
What I did was set the derivative of the curv... | 4 | [
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0.0... | 28,695 | 28695 | |
Math Help
May 24th 2010, 07:28 PM #1
Newbie
Joined
Aug 2007
Posts
21
Hello,
I am stumped on this question. I think I'm missing something really obvious but here is goes.
"You have been asked to design a 1000cm^3 can shaped like a right cylinder. What dimensions will use the least material?"
... | 4 | [
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0.0224609375,
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0.09814453125,
0.11572265625,
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0.004425048828125,
0.034423828125,
0.07568359375... | 28,696 | 28696 | |
Modeling Trick: the Signed Pseudo Logarithm
March 1, 2012
By John Mount
Much of the data that the analyst uses exhibits extraordinary range. For example: incomes, company sizes, popularity of books and any “winner takes all process”; (see: Living in A Lognormal World).
Tukey recommended the logarithm as an important... | 4 | [
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0.... | 28,697 | 28697 | |
Running Characteristics of Aerodynamic Bearing with Self-Lifting Capability at Low Rotational Speed
Advances in Tribology
Volume 2011 (2011), Article ID 973740, 10 pages
http://dx.doi.org/10.1155/2011/973740
Research Article
Running Characteristics of Aerodynamic Bearing with Self-Lifting Capability at Low Rotational... | 4 | [
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0.037841796875,... | 28,698 | 28698 | |
one of those "stupid" proofs
July 13th 2010, 07:53 PM #1
Newbie
Joined
Jul 2010
Posts
23
one of those "stupid" proofs
Hi all, I have to do this problem according to the first part of the Fundamental Theorem of Calculus. Fundamental theorem of calculus - Wikipedia, the free encyclopedia
h(x)= (integr... | 5 | [
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0.01019287109375,
-0.12890625,... | 28,699 | 28699 |