content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Finding coefficients using Lengendre Polynomials
Hi, I don't even now where to start with this question. f(x, y) = 3 x^2 + x y - x + y^2 f(x, y) = Sigma an(y)Pn(x) f(x, y) = Sigma bn(x)Pn(y) Find a and b.
Hey, aren't those just the generalized Fourier coefficients? That is: $f(x,y)=\sum_{n=0}^{\infty}c_n x^n$ where: $... | 5 | [
-0.07421875,
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0.007415771484375,
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0.0830078125,
0.01422119140625,
0.00799560546875,
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0.0224609375,
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0.018310546875,
0.0113525390625,
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-0.0546875,... | 14,500 | 14500 | |
Brevet US3968486 - Analog to digital converter
BACKGROUND OF THE INVENTION
The present invention relates to electronic analog to digital converters producing a straight binary output equal to, in binary code language, the value of the analog input.
Basically, the analog input is an electric signal having a magnitude ... | 4 | [
0.00616455078125,
0.0194091796875,
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-... | 14,501 | 14501 | |
Invariant Means and Reversible Semigroup of Relatively Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 694783, 9 pages
http://dx.doi.org/10.1155/2014/694783
Research Article
Invariant Means and Reversible Semigroup of Relatively Nonexpansive Mappings in Banach Space... | 5 | [
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0.0415039... | 14,502 | 14502 | |
Problem with Elementary row operations and rank theorems.
March 23rd 2012, 02:49 PM #1
Newbie
Joined
Mar 2012
From
Canada
Posts
3
Problem with Elementary row operations and rank theorems.
Ok, so I am taking my first course in linear algebra, and even though I am not a math major (physics major actual... | 4 | [
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0.0035858154296875,
... | 14,503 | 14503 | |
Integral , just check if i'm right plz
February 8th 2009, 02:48 PM #1
Banned
Joined
Feb 2009
From
↨
Posts
79
Integral , just check if i'm right plz
$\int (1+e^x)^{\frac{1}{2}} dx$
I did $u^2 = 1+e^x$
I got $2\int u^2/(u^2 -1)du$
Is this correct ?
------------------------------
... | 5 | [
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solving an inequality with powers in it
August 7th 2005, 01:50 PM #1
Newbie
Joined
Aug 2005
Posts
3
solving an inequality with powers in it
i'm really stuck on this one problem in my summer packet
x^4(x-3)<0
any help would be greatly appreciated
Thanks in advance
You're looking at the va... | 4 | [
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... | 14,505 | 14505 | |
Equation of plane
September 20th 2010, 11:34 AM #1
Member
Joined
Apr 2010
Posts
156
Equation of plane
Find a Cartesian equation for the plane P in R3 that passes through the points A(1,0,0), B(0,3,0) and C(0,0,4).
I there any way to do this question without using the cross product?
See this Wik... | 5 | [
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show vector satisfies given DE
January 3rd 2007, 08:46 PM
OkashiiKen
show vector satisfies given DE
Hi,
I am very rusty with my math, and need help understanding how to approach this type of problem.
(problem)
verify that the given vector satisfies the given differential equation:
x'=Ax
wh... | 5 | [
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Line integrals
March 28th 2007, 05:23 PM
pakman
Line integrals
F, i, j, r, q, p are vectors
F(x,y) = (2xy)i - (x^2)j
div F(x,y) = 2y
curl F(x,y) = -4x which is not equal to zero, allowing no potential.
Now this is the confusing part. Work = 25/3
Here is how they got it
Row (or atlea... | 5 | [
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Solving a Triangular Matrix using Forward & Backward Substitution
Consider a set of equations in a matrix form $Ax=b$, where A is a lower triangular matrix with non-zero diagonal elements. The equation is re-written in full matrix form as
From the DSP implementation point of view, computation of $x_1$ requires one FLo... | 4 | [
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Help required...
March 7th 2008, 10:59 PM #1
Help required...
Q. $(2x + y)dy - (4x +2y -1)dy = 0$
After using $Z = 2x +y$, I got the answer,
$c = 2y -ln(2x + y)$
However, its very different from the answer at the back of the book. I have checked and rechecked but ended up with the same wrong answer... | 5 | [
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... | 14,510 | 14510 | |
[SOLVED] integration with sinxcosx
February 1st 2007, 11:12 AM
block
[SOLVED] integration with sinxcosx
Hey guys i kind of have a weird little problem which i can't figure out.
I'm integrating sinxcosx, and depending on what i use as my substution you get two answers.
1) sin^2x/2 + C and 2) -cos^2x/2 +... | 5 | [
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[SOLVED] Work, Power and Energy - Mechanics
May 17th 2010, 09:33 AM
unstopabl3
[SOLVED] Work, Power and Energy - Mechanics
Q) A lorry of mass 15 000 kg moves with constant speed 14ms−1 from the top to the bottom of a straight hill of length 900 m. The top of the hill is 18m above the level of the bottom of the h... | 4 | [
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0.0419921875,
... | 14,512 | 14512 | |
A Complicated Integral
January 17th 2011, 04:59 PM #1
Newbie
Joined
Jan 2011
Posts
10
A Complicated Integral
$d/dx \int_3^{x^2} (2t^2+5)^2 dx$
Can someone please see if I did it right or not?
$x^2=2x$
Substitute $t$ with $x^2$
$(2(x^2)^2+5)^2$
$<br /> 2x(2x^4+5)^2$
Do I have... | 5 | [
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0.125,
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0.0... | 14,513 | 14513 | |
Solid of revolution help
February 26th 2011, 08:52 PM #1
Member
Joined
Nov 2008
Posts
146
Solid of revolution help
Hi.
The question asks:
R is the region enclosed by the x-axis, y-axis and the curve.
y = cos^2(x), x&y>= 0
Find the volume by rotating R about the y-axis.
I'm not sur... | 5 | [
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[SOLVED] Algebraic Topology: Fundamental group of Klein bottle
April 25th 2010, 02:05 PM #1
Junior Member
Joined
Apr 2010
Posts
51
[SOLVED] Algebraic Topology: Fundamental group of Klein bottle
Prove that the fundamental group of a Klein bottle is $G = \{ a^{m}b^{2n+\epsilon} \ ;\ m \in \mathbb{Z}, \ n \... | 4 | [
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Closed set in Banach?
April 15th 2010, 01:08 AM
veljko
Closed set in Banach?
Is set
$L=\{f\in X | \int_{-\infty}^{+ \infty} f(x)dx =0\}$.
closed in Banach space $X$?
a) $X = L^1 (-\infty, +\infty)$, b) $X = L^2 (-\infty, +\infty)$
April 15th 2010, 02:45 AM
Enrique2
a) Is true because $f\mapst... | 5 | [
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exact values
May 26th 2005, 08:42 PM
kelsey
exact values
what is the exact value of
sin^2(pie/6) - 2sin(pie/6)cos(pie/6) + cos^2(-pie/6)
a. 2- (squareroot)3
b. (2- (squareroot)3)/2
c. (2+ (squareroot)3/2
d. 2+ (squareroot)3
May 26th 2005, 09:25 PM
MathMan
Please use LaTeX to enter ma... | 4 | [
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Taylor series
[/itex]
matematikuvol
Why in Taylor series we have some factoriel ##!## factor.
[tex]f(x)=f(0)+xf'(0)+\frac{x^2}{2!}f''(0)+...[/tex]
Why we have that ##\frac{1}{n!}## factor?
The factorial terms appear in the derivation of the Taylor series.
For instance, a derivation for a Taylor series around zero... | 4 | [
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... | 14,518 | 14518 | |
Beta function?
February 10th 2009, 12:55 PM #1
Beta function?
Prove that:
$n\:\int_{0}^{1} x^m \<img src=$1-x)^{n-1}dx = \frac{n!\:m!}{(m+n)!}" alt="n\:\int_{0}^{1} x^m \
Is this correct?
L.H.S
= n.B(m, n -1) , where B(x, y) is Beta function
= n. m!(n-1)!/((m + n - 1 + 1)!)
= n(n-1)!m!/((... | 5 | [
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0.060302734375,
-0.0027160644... | 14,519 | 14519 | |
trigonometry problems help please
February 7th 2010, 05:49 AM #1
Newbie
Joined
Jan 2010
Posts
10
trigonometry problems help please
A flagpole 6 meters tall stands on top of a building. From a point on the same horizontal as the base of the building, the angle of elevation of the top and the bottom of the... | 4 | [
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OK Corral: Local versus non-local QM
wm
1. I'd like to point out that I began with the exact equation that Bell used [1964; equation (3)]. I get the identical result also: - a.b'.
In physics it is important to understand what physical quantity the terms in an equation stand for. In Bell's paper
a
and
b
represen... | 5 | [
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-0... | 14,521 | 14521 | |
Converting Coordinate Systems
April 3rd 2011, 02:18 PM #1
Converting Coordinate Systems
Bit stuck on converting from Cartesian to Spherical:
Let $S$ be the spherical surface defined by $x^2 + y^2 + z^2 = a^2$, and let $\mathbf{F} = z^3 \mathbf{k}$.
Using SPs $(r,\theta,\phi)$, and with $\mathbf{\delta S... | 5 | [
0.00738525390625,
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0.051... | 14,522 | 14522 | |
Proposition 2
If a first magnitude is the same multiple of a second that a third is of a fourth, and a fifth also is the same multiple of the second that a sixth is of the fourth, then the sum of the first and
fifth also is the same multiple of the second that the sum of the third and sixth is of the fourth.
Let a fi... | 4 | [
-0.035400390625,
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0.05859375,
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0.00933837890625,
-0.0791015625,
... | 14,523 | 14523 | |
Is this integral correct?
August 19th 2009, 09:24 PM #1
Is this integral correct?
I've been working on this for the past hour.
$\int_{0}^{\infty} \frac{\ln x}{a^{2}+x^{2}} \ dx \ (a>0)$
let $u = \frac{a}{x}$
then $du = -\frac{a}{x^{2}}dx = -\frac{u^{2}}{a} dx$
$\int_{0}^{\infty} \frac{\ln x}{... | 5 | [
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Proving and then solving eqns
June 5th 2009, 12:28 AM #1
Proving and then solving eqns
my question asked me to prove that $\cos 3\theta= 4\cos^3\theta - 3\cos\theta$
i proved already and then the next part asked me to substitute $x=6\cos\theta$ to find the roots of the eqn $x^3 - 27x + 8=0$
i dont know ... | 4 | [
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... | 14,525 | 14525 | |
Practical Statistics for Astronomers II
3.2 The Maximum-Likelihood (ML) Method
The maximum-likelihood method also has a long history: it was derived by Bernoulli in 1776 and by Gauss around 1821, and worked out in detail by Fisher in 1912.
Consider the probability density function F (x; x a random variable, F. We wan... | 4 | [
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0.0771484375,
0.056884765625,
0.03759765625,
0.0302734375,
0.052978515625,
-0.0311279296875,
-0.055419921875,
0.0004482269287109375,
0.033935546875,
... | 14,526 | 14526 | |
Euler Product
Show $\displaystyle{\prod_{p\equiv1\;(4)}\frac{p^3+1}{p^ 3-1} = \frac{105}{4\pi^3}\zeta(3)}$ and $\displaystyle{\prod_{p\equiv3\;(4)}\frac{p^3+1}{p^ 3-1} = \frac{28}{\pi^3}\zeta(3)}$.
Last edited by chiph588@; July 16th 2010 at 12:47 PM.
I consider $\ F(s) = \big{ \frac{1}{1^s} - \frac{1}{3^s} + \frac{1... | 5 | [
-0.10498046875,
-0.03955078125,
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0.0230712890625,
-0.0859375,
-0.1015625,
0.04296875,
0.00238037109375,
... | 14,527 | 14527 | |
Probabilty --- Help it's been awhile since I've done one of this
December 15th 2005, 12:43 AM
BellieButton
Probabilty --- Help it's been awhile since I've done one of this
:o It's been awhile I can't remember how to do this
ONE BLUE BALL AND FOUR RED BALLS ARE PLACED IN A BOX. TWO RED BALL AND THREE BLUE BA... | 5 | [
0.048095703125,
-0.051513671875,
0.034912109375,
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0.0159912109375,
0.03173828125,
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-0.00738525390625,
0.028076171875,
0.0267333984375,
0.09130859375,
-0.002655029... | 14,528 | 14528 | |
Math Help
July 4th 2007, 09:32 AM #1
Newbie
Joined
Jun 2007
Posts
10
speed
(a) A car traveling at a speed of v can brake to an emergency stop in a distance x. Assuming all other driving conditions are all similar, if traveling speed of the car doubles, the stopping
distance will be (1) √2x, or (2) 2... | 4 | [
0.0498046875,
0.051513671875,
0.0267333984375,
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0.0257568359375,
0.08935546875,
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0.10302734375,
-0.0125732421875,
0.072265625,
0.111328125,
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0.053466796875,
0.042724609375,
-0.0260009765625,
0.0458984375,
0.01422119140625,
-0.0456542968... | 14,529 | 14529 | |
HELP QUICK- Distance from point to plane
May 27th 2010, 06:15 AM #1
Newbie
Joined
May 2010
Posts
7
HELP QUICK- Distance from point to plane
Distance from A (where a line and plane intersect) to P (which is a point perpendicular to the plane...
A coordinates = [-2, 1, 3]
P coordinates = [2, 3, ... | 4 | [
-0.03173828125,
0.03564453125,
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-0.0947265625,
0.... | 14,530 | 14530 | |
Venn Diagram proof?
March 15th 2008, 06:40 PM #1
Newbie
Joined
Feb 2008
Posts
8
Venn Diagram proof?
Proof for all sets A, B, and C:
A complement Union B complement = (A Intercept B) complement.
can someone help??
Note: to show that two set are equal we need to show
$(A^c \cup B^c) \sub... | 4 | [
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-0... | 14,531 | 14531 | |
Math Help
March 5th 2006, 08:15 AM #1
Newbie
Joined
Mar 2006
Posts
12
CD's
A DJ found a music store that had a great collection of used CD's. he purshased 38 CD's for a total of $235. The purchase included CD's priced at either $5.00 or $8.00. How many CD's in each
price category did the DJ buy?
... | 4 | [
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0.09375,
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Trouble with limits
November 2nd 2007, 07:26 PM #1
Trouble with limits
I've encountered some difficult problems in my textbook that I can't solve. Any help would be appreciated. This is not homework—I'm just looking to advance my knowledge, that's all.
Question 1: (SOLVED, but I still don't understand the ge... | 5 | [
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arcus functions
Hi again! Does anyone here know how to solve arctan(x)=arccos(2x)? For x of course.
Take the tangent of both sides, tan(arctan(x))=tan(arccos(2x)) x=tan(arccos(2x)) Let, arccos(2x)=u Then, cos u =2x=(2x)/1 Thus, A right triangle angle is "u" with adjacent side 2x and hypotenuse 1.
By Pythagorean theore... | 4 | [
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GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems
Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 325859, 16 pages
http://dx.doi.org/10.1155/2008/325859
Research Article
GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems
^1Department of Civil Engineering, National Central Uni... | 4 | [
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... | 14,535 | 14535 | |
Inner Product Involving Integrals
March 6th 2010, 11:56 AM
mathematicalbagpiper
Inner Product Involving Integrals
Let V denote the vector space of all continuous functions :
f:[0, 1] -> R
Where the 1st and 2nd derivatives exist and are continuous. Suppose further that:
f(0)=f(1)=0
Now let L: ... | 5 | [
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0.03540039062... | 14,536 | 14536 | |
Induction hint
February 6th 2008, 06:00 PM
powderteacher
Induction hint
Can someone give me a hint on this?
Prove: $<br /> P(n):\,n^2 < 2^n \,$ for all
$n \in J$ where $n \geqslant 5$
Proof by induction
a. $P(5):\,\,5^2 < 2^5$
25<32 is true;
b. assume that P(k) is true for some $<br /> k ... | 4 | [
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ing
Solving problems does not always proceed on a direct route to the goal. Sometimes we make progress by pursuing one approach only to discover that we are stuck because we took a wrong turn. In those
cases, we backtrack in our exploration and take a different turn at some branch, in the hope that it leads us to a so... | 5 | [
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0.015625,
0.00454711914... | 14,538 | 14538 | |
Perfect Numbers ?
May 21st 2010, 05:22 PM
1337h4x
Perfect Numbers ?
Okay, I have a few questions pertaining to perfect numbers.
Q1:
The theorem in my book states that a prime power is never a perfect number. Therefore if p is a prime, then p^n cannot be a perfect number. Can anyone explain why this is?
... | 4 | [
0.004425048828125,
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Index numbers
What are index numbers?
Index numbers are designed to measure the magnitude of economic changes over time. Because they work in a similar way to percentages they make such changes easier to compare. Briefly, thi... | 5 | [
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Proving type of quadrilateral by its diagonal lengths
June 11th 2011, 12:58 PM
Zellator
Proving type of quadrilateral by its diagonal lengths
Hi Forum
Is there an easy and objective way to find the type of quadrilateral just by its diagonal lengths? I mean, with no calculation.
If we were to find the ar... | 5 | [
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Random Variable PMF
October 13th 2009, 10:28 AM
sirellwood
Random Variable PMF
A random variable X with PMF given by
px(x) = {(x^2)/a, x=-3,-2,-1,0,1,2,3,
0 otherwise}
i believe a = 28 and E[X] = 0
am i right in thinking this?
What is the PMF of the random variable Y = (X-E[X])^2?
Us... | 4 | [
0.0299072265625,
-0.0537109375,
0.010986328125,
0.041259765625,
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-0.09228515625,
-0.092285156... | 14,542 | 14542 | |
Derivation of Proper Time in General Relativity
In relativity, proper time along a world-line is be defined by [itex]d\tau^{2} = ds^{2} / c^{2}[/itex]
However, proper time can also be understood as the time lapsed by an observer who carries a clock along the world-line.
In special relativity, this can easily be prove... | 4 | [
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0.0363769... | 14,543 | 14543 | |
[SOLVED] rate problem
October 11th 2007, 01:23 PM #1
Junior Member
Joined
Sep 2007
Posts
29
[SOLVED] rate problem
A spherical balloon is being inflated at a constant rate of 25cm/sec. At what rate in cm/sec is the radius of the balloon changing when the radius is 2cm?
I have the volume which is 4/3*... | 4 | [
0.028076171875,
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0.12109375,
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0.046875,
0.02587890625,
0.032470703... | 14,544 | 14544 | |
Stats problem help
July 5th 2007, 09:47 AM #1
Junior Member
Joined
Nov 2006
From
California
Posts
36
Stats problem help
150 adults who tried a new peach flavored peppermint patty, 87 rated it ecellent. Of 200 children sampled , 123 rated it excellent, Using the .10 level of significance, can we concl... | 5 | [
0.0301513671875,
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0.08251953125,
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Brevet US7567703 - System for combining multiple disparity maps
TECHNICAL FIELD
The present invention relates to a method and apparatus for processing image data in order to provide a representation of the three dimensional structure of a scene.
BACKGROUND
Given two views of a scene, it is possible to estimate the b... | 4 | [
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-0.016845703125... | 14,546 | 14546 | |
Brevet US7899127 - Method and device for reducing the crest factor of a signal
FIELD OF THE INVENTION
The present invention relates to a method and a device for reducing the crest factor of a signal, the crest factor being the ratio of the peak value to the average value of the signal. It relates, in
particular, to a ... | 4 | [
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-0.019409179687... | 14,547 | 14547 | |
Black body radiation problem
1. The problem statement, all variables and given/known data
1)The peak emission from a black body at a certain temperature occurs at a wavelength of 9000 Angstrom. On increasing its temperature the total radiation emitted is increased 81 times. At the initial
temperature, when the peak rad... | 5 | [
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... | 14,548 | 14548 | |
Please help with the method of these questions...
April 18th 2012, 05:43 AM #1
Newbie
Joined
Apr 2012
From
England
Posts
5
Please help with the method of these questions...
(i) How many positive factors are there of 2009?
(ii) How many solutions in positive integers x,y,z are there to the equati... | 4 | [
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... | 14,549 | 14549 | |
GMAT Probability
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
□ GMAT Essay Tips & Grading from 800score
•
• Free GMAT Prep
□ Free GMAT CAT test
... | 4 | [
0.0419921875,
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0.00052642822265625,
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0.025390625,
0.00823974609375,
0.034423828125,
-0.047... | 14,550 | 14550 | |
Math Help
January 27th 2009, 02:37 PM #1
Newbie
Joined
Jan 2009
Posts
11
Simplify
Express this answer as a fraction without any negative exponents:
2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)
Factor and simplify it. I have problems with this one.
2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)
$2x(2x-1)^{-\frac{... | 4 | [
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... | 14,551 | 14551 | |
help substituting one formula into another
November 30th 2012, 03:20 PM #1
Newbie
Joined
Nov 2012
From
UK
Posts
1
help substituting one formula into another
First of all apologies if this is in the wrong section, I really wasn't sure where to put it. I'm a physics student in my 2nd year at university... | 5 | [
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-0.042236328125,
0.054687... | 14,552 | 14552 | |
Proving an identity.
June 21st 2010, 03:27 AM #1
Newbie
Joined
Jun 2010
Posts
6
Proving an identity.
Show that Sin2A - tanA = (tanA).(cos2A) ??
I have so far worked it to :
Sin2A - tanA = - sinA/cosA + (2SinA).(cosA)
Really stuck now any help would be appreciated guys.
Last edited by ... | 4 | [
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0.001... | 14,553 | 14553 | |
Derivative Word Problem Help Please!~
March 9th 2013, 10:28 AM #1
Junior Member
Joined
Jan 2013
From
new york
Posts
45
Derivative Word Problem Help Please!~
An observatory is to be in the form of a right circular cylinder surmounted by a hemispherical dome. If the hemispherical dome costs 6 times as ... | 4 | [
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-0.0478515625,
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-0.06298828125,
-0.08251953125,
0.04736328125,
0.0118408203125,
-0.0296630859375,
-0.0213623046875,
-0.0106201171875,
0.0576171... | 14,554 | 14554 | |
Proposition 13
If a first magnitude has to a second the same ratio as a third to a fourth, and the third has to the fourth a greater ratio than a fifth has to a sixth, then the first also has to the second a
greater ratio than the fifth to the sixth.
Let a first magnitude A have to a second B the same ratio as a thir... | 4 | [
-0.01080322265625,
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0.0166015625,
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0.056640625,
-0.01153564453125,
-0.005157470703125,
-0.000881195068359375,
-0.... | 14,555 | 14555 | |
Analyses on Heating Energy Saving of Two Hot Waxy-Crude Oil Pipelines Laid Parallel in One Ditch
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 948980, 10 pages
http://dx.doi.org/10.1155/2013/948980
Research Article
Analyses on Heating Energy Saving of Two Hot Waxy-Crude Oil Pipelines Laid Paralle... | 4 | [
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0.07568... | 14,556 | 14556 | |
Patent US7269126 - Method for code division multiple access communication with increased capacity through self-noise reduction
PRIORITY
This application is divisional application of U.S. patent application Ser. No. 09/995,853, now U.S. Pat. No. 6,639,902 filed on Nov. 27, 2001, which is a continuation application of U... | 5 | [
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Weihong Zheng
Series Expansion Methods for Strongly Interacting Lattice Models
Jaan Oitmaa, Chris Hamer, Weihong Zheng
School of Physics, University of new South Wales, Sydney, Australia
Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many ... | 4 | [
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0.05688476562... | 14,558 | 14558 | |
Relatively Prime Proof
November 19th 2010, 12:44 PM #1
Super Member
Joined
Feb 2008
Posts
535
Relatively Prime Proof
Assume that a is an element of order n in a group G. Prove that m and n are relatively
prime if and only if a^m has order n.
Thanks for your help...
You don't need to prove a... | 5 | [
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0.00933837890625,... | 14,559 | 14559 | |
How to find this limit?
It's supposed to be solved without using L'Hopital. Maybe using rationalization, I don't know...
Or just use good old L`lôpital rule $\lim_{h\to 0}$$\frac{{\sqrt[3]{{8 + h}} - 2}}{h}$$\Rightarrow \lim_{h \to 0} \frac{{\frac{1}{{3\sqrt[3]{{\left( {8 + h} \right)^2 }}}}}}{1}$$\Rightarrow \frac{1}... | 5 | [
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-0.00386047363... | 14,560 | 14560 | |
Pls check my work – bivariate optimization
May 30th 2006, 07:59 AM #1
Junior Member
Joined
Apr 2006
Posts
25
Pls check my work – bivariate optimization
I’ve just finished my textbook, “Forgotten Calculus”. The last chapter is on multivariable calculus. Disappointingly, while there were some “pure math” p... | 5 | [
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GMAT Algebra
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
□ GMAT Essay Tips & Grading from 800score
•
• Free GMAT Prep
□ Free GMAT CAT test
□... | 4 | [
0.022705078125,
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-0.01... | 14,562 | 14562 | |
Perform indicated operation and simplify
(3^4th root of 32a^5) - (a^4th root of 162a) How do I go about solving this? Oh, BTW, Happy Easter!
Hello, Hapa! It's impossible to read what you've typed. But I'll take a guess at what you meant . . . Simplify: . $3\sqrt[4]{32a^5} - a\sqrt[4]{162a}$ I'll simplify those radical... | 4 | [
0.12060546875,
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0.0458984... | 14,563 | 14563 | |
Proof
September 16th 2010, 07:20 PM
kiddopop
Proof
Decide whether the following statement is true or false. If it is true, show that it is true, making your argument as general as possible. If it is false, disprove it by finding a counterexample.
For all integers a and b, if a is congruent to b (mod 35), th... | 4 | [
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0.009460449218... | 14,564 | 14564 | |
Subfield Isomorphic To Q
January 20th 2009, 03:40 PM #1
Subfield Isomorphic To Q
I would like to know how to show that if the characteristic of a field is 0 then it has a subfield isomorphic to $\mathbb Q$.
I defined an homomorphism $f : \mathbb F \rightarrow \mathbb Q$
$f(n) = n \cdot 1$
I found, $K... | 4 | [
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Prove Lim (x,y)->(1,2) (x + y) = 3.
September 8th 2010, 07:19 AM #1
Member
Joined
Oct 2009
From
United States
Posts
169
Prove Lim (x,y)->(1,2) (x + y) = 3.
Consider R^2 where p((a,b),(c,d))=Sqrt((a-c)^2+(b-d)^2) and R where p(x,y) = |x-y|. f:R^2->R f((x,y))=x+y. Prove Lim (x,y)->(1,2) (x + y) = 3.
... | 5 | [
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6. Inductive
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 What Logics of Induction are There?
John D. Norton
6. Inductive Independence is Generic
The inductive logics developed here are not defined fully by the deductive structure of their propositions. The no-go result required us t... | 4 | [
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Patent US4771547 - Correction apparatus for an azimuth calculating system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an azimuth calculation system which includes an azimuth sensor mounted on a moving body such as an automotive vehicle for calculating a direction of the movi... | 4 | [
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0.125,
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0.0130615234... | 14,568 | 14568 | |
Modelling and problem solving
February 16th 2013, 08:08 PM
elmidge
Modelling and problem solving
I need help with the following problems:
1.A piece of wire 12 cm long is cut into 2 pieces. One piece is used to form a square shape and the other to form a rectangle shape of which the length is twice its width... | 4 | [
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0.01422119140625,
0.05175781... | 14,569 | 14569 | |
Need help with double integral & polar coords
April 10th 2008, 06:29 PM #1
Newbie
Joined
Apr 2008
Posts
8
Need help with double integral & polar coords
I've been stuck on this for a good while now, and it's really starting to irritate me. Any help I can get would be greatly appreciated.
I've been ... | 4 | [
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Suppose this, show that:
March 27th 2013, 03:34 PM
Lambin
Suppose this, show that:
PROBLEM:
Suppose that a function $f$ satisfies the following conditions for all real values $x$ and $y$:
i. $f(x+y)=f(x)*f(y)$
ii. $f(x)=1+xg(x)$, where $\lim_{x\to\0}g(x)=1$
Show that the derivative $f'(x)$ exi... | 4 | [
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0... | 14,571 | 14571 | |
verification of work
March 4th 2013, 04:44 PM #1
Junior Member
Joined
Sep 2012
From
Toronto
Posts
36
verification of work
Hi, looking for a verification of my answers for this questions: And if I did it wrong please tell me how to improve. Thanks!
Rick, the new manager of a trendy restaurant in ... | 5 | [
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0.09814453125,
-0.1... | 14,572 | 14572 | |
Convergence of Sequence
October 4th 2010, 04:44 PM #1
Newbie
Joined
Aug 2010
Posts
21
Convergence of Sequence
I need help figuring out how the convergence of a sequence.
I have the answer, but I'm not understanding how it is calculated.
It is the sequence,
an= $\sqrt{n^2+2n}-n$
I have... | 4 | [
0.0015106201171875,
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0.0517578125,
0.048095703125,
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0.03125,
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0.07275390625,
0.035888671875,
-0.0439453125,
0.0830078125,
0.0205078125,
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0.0703125,
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-0.00041961669921875,
0.0252685546875,
-0.0419921875... | 14,573 | 14573 | |
Temperature Change and Volume Expansion
The approach is quite correct. But if you are aware of the fact that the coefficient of volume expansion (i.e. beta) is equal to 3*(alpha), then you might have used a simpler method. You could have
used the equations:-
(V-final)=(V-initial)[1 + (beta)(delta-T)]
(beta)=3*(alpha)
... | 4 | [
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-0.045166015625,
-0.053466796875,
0.0... | 14,574 | 14574 | |
Verification of Simple Proof
Okay. I will redo it here and explain myself better. In Spivak's book, he lists 12 properties of the real numbers. I will use those properties to prove that for any real a
(a*0)=0.
Begin with the assumption that the above statement is false.
Since (a*0) is in R, then by the closure under... | 5 | [
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0.037109375,
0.007354736328125,
-0.0966796875,
... | 14,575 | 14575 | |
Please help ! Graph problem
October 17th 2008, 01:49 AM #1
Member
Joined
Oct 2008
From
Singapore
Posts
160
Please help ! Graph problem
A simple graph has 20 vertices. Any two distinct vertices u and v are such that deg(u) + deg(v) greater than or equal to 19. Prove that the graph is connected. Note t... | 4 | [
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Isosceles triangle of fixed perimeter P
January 3rd 2010, 05:11 AM #1
Newbie
Joined
Jan 2010
Posts
3
Isosceles triangle of fixed perimeter P
Consider an isosceles triangle of fixed perimeter P.
a) If x equals the length of one of the two equal sides, express the area A as a function of x.
b) Wha... | 4 | [
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-0.076660... | 14,577 | 14577 | |
m07 - The Laplace Transform 1.1 2006/08/01 13:01:33.302 GMT-5 2006/09/16 22:44:17.777 GMT-5 C. Sidney Burrus csb@rice.edu C. Sidney Burrus csb@rice.edu Doug Kochelek kochelek@rice.edu complex
variable Fourier Transform Laplace Transform The Laplace Transform can be viewed as a generalization of the Fourier Transform gi... | 4 | [
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-0.02978515625,... | 14,578 | 14578 | |
Newton's Law of Cooling Question
December 18th 2008, 05:51 PM #1
Member
Joined
Dec 2007
Posts
137
A pizza, heated to a temperature of 350 degrees Fahrenheit is taken out of an oven and placed in a 75 degree room at time t = 0 minutes. The temperature of the pizza is changing at a rate of
-110e^0.4t de... | 5 | [
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-0.10888671875,
0.05664062... | 14,579 | 14579 | |
Graphing Using Calculus
August 28th 2010, 06:28 AM #1
Member
Joined
Jul 2009
Posts
132
Graphing Using Calculus
y^2 = (a^2 x) / (2a - x )
Find points of inflexion and sketch the curve.
By implicitly differentiating Ive got a value for dy/dx
= 2a^3 / (2a-x)^2 ( 2y)
However, I do not kno... | 4 | [
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-0.0021820068359375,
-0.0... | 14,580 | 14580 | |
Using cases in proofs
September 2nd 2007, 06:01 AM
fruitcakelover
Using cases in proofs
Hi, does anybody know how to prove the following statement:
For each real number r, -|r|£ r £ |r|.
by using two cases in the proof.
September 2nd 2007, 06:38 AM
ThePerfectHacker
Quote:
Given $x\in \math... | 4 | [
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Summary: Math 2200 Homework 5 (Finish by Friday Oct. 22)
Problem 1 Find the domain and range of f(x, y) = xy+1
(y-2x+2)
.
Solution: Since this is a ratio of polynomials the only possible problem is a divide by zero so the
domain is the plane less the line where the denominator is zero: D = {(x, y) : y = 2x + 2}. The
fu... | 4 | [
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Help of Intermediate Value Theorem
June 13th 2006, 02:22 PM
c_323_h
Help of Intermediate Value Theorem
Use the Intermediate Value Theorem to show that $x^5-x^2+1=0$has a solution.
Given:
$f(-1)=-1$ and $f(0)=1$
I understand what the IVT is and how to find a approximate solution using trial and erro... | 5 | [
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... | 14,583 | 14583 | |
[SOLVED] eqn of circle
Given that a circle with centre(-1.5,0.5)and radius 5/2(√ 2) Find the length of the chord 4x-3y-5=0 of the circle. Thanks
Plug in the given values into the general equation of a circle: $\left(x+\frac32\right)^2+\left(y-\frac12 \right)^2=\dfrac{25}2$ Solve the equation of the line for $y = \frac... | 4 | [
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-0... | 14,584 | 14584 | |
Re: Re: Bit operations for beginners
Yep, thats the kind of thing I had in mind. Except that I find it useful to have a chart that has all of the posibile permutations of binary boolean operations. For one it makes it easier to see
how you can construct operators from each other. But mostly because I personally... | 4 | [
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Simple problem...
January 25th 2010, 05:51 PM
krisR
Simple problem...
... I'm having trouble with it anyway, even though I think it might just be high school review, so I wasn't entirely sure where to put this topic. Anyway:
There are 15 items. Four are type A, five are type B, and six are type C. Selecting... | 4 | [
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can someone prove this
April 25th 2006, 11:20 AM #1
can someone prove this
Hello,
can someone prove this to me as.
Any help would help save thier hair I have not torn out as yet.
If
$a_n,b_n$
are sequences of real number ,n>m then:
$\sum_{k=m}^{n}a_k .b_k=$$a_{n+1}S_n-a_m S_{m-1}+\sum_{... | 4 | [
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0.0625,
0.11279296875,
0.0241699... | 14,587 | 14587 | |
hylogenetic tree
Putative phylogenetic trees prediction for sequence multiple alignment by cluster and topological algorithms.
REFERENCES:
• Chumakov K.M. and Yushmanov S.V. The maximum topological similarity principle in molecular systematics, Mol. Genet. Microbiol. Virusol. vol. 3, pages 3-9, 1988, Russian [Word9... | 4 | [
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0.09228515625,
-0.06201171875,
-0.0225830078125,
-0.095703125,
0.01... | 14,588 | 14588 | |
GMAT Number Theory
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
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•
• Free GMAT Prep
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... | 4 | [
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0.0296630859375,
-0.0... | 14,589 | 14589 | |
I need help!!
September 3rd 2008, 07:57 AM
kat22
I need help!!
a store has a cost of goods of 486,000 the expected gross margin is 49.50% operating expenses are 225,000 what will be the percent profit?
September 3rd 2008, 12:56 PM
tcRom
Gross Profit Margin = (Sales - Cost of Goods Sold) / Sales
We ne... | 4 | [
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0.0236... | 14,590 | 14590 | |
Tangent Line for Parametric Curve
Maybe im doing this wrong, but this doesn't seem to exist, or the answer is undefined.
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of $d^2y/dx^2$ at this point.
$x= -cos t$
$y= 7+sin t$
$t= ... | 5 | [
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Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 908168, 8 pages
http://dx.doi.org/10.1155/2013/908168
Research Article
Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations ... | 5 | [
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-0.... | 14,592 | 14592 | |
please help- integration
My, where you do get these complicated integration from? Here is what you do, INTEGRAL (1+x^2)^2*atan(x)*(1+x^2)^{-1} dx Let, u=atan(x) then, u'=(1+x^2)^{-1} Then, sec^2 u=1-x^2 cos^2 u=x^2 Then, sec
^2 u +2cos^2 u=1+x^2 Thus, INTEGRAL (sec^2 u +2cos^2 u)^2 u*u' dx Substitution rule it is compo... | 5 | [
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... | 14,593 | 14593 | |
Vector/Tensor Proof
August 29th 2008, 05:07 PM #1
Newbie
Joined
Aug 2008
Posts
5
Vector/Tensor Proof
I'm trying to prove what is shown in figure 1 where V is a vector and T is a tensor. However if I arbitrarily assign values to the vectors and tensors and try to prove it by performing the
operation, ... | 5 | [
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0.08544921875,... | 14,594 | 14594 | |
Interpreting results: One-way ANOVA
One-way ANOVA compares three or more unmatched groups, based on the assumption that the populations are Gaussian.
P value
The P value tests the null hypothesis that data from all groups are drawn from populations with identical means. Therefore, the P value answers this question:
... | 4 | [
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-0.07421875,
0.0257568359375,
-0.0084228... | 14,595 | 14595 | |
-Point Boundary Value Problem for Nonlinear Fractional Differential Equation
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 826580, 15 pages
http://dx.doi.org/10.1155/2012/826580
Research Article
Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Different... | 5 | [
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-0.0634... | 14,596 | 14596 | |
Function operations (exercise)
Problem 1: Find the domain of the function given by :
f x = x [ x − 2 ] [ x + 1 ] f x = x [ x − 2 ] [ x + 1 ]
Solution :
Statement of the problem : The function has rational form. Denominator consists of product of two greatest integer functions.
We can consider, the function as produ... | 4 | [
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differential equations problem
October 3rd 2009, 11:52 AM #1
Junior Member
Joined
Oct 2008
Posts
70
differential equations problem
I haven't dealt with differential equations in a while so I completely forget how to do this problem.
Given dx/dt=y and dy/dt=x
Verify that f(t)=Ce^t+De^-t and g(t)... | 4 | [
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0.03173828125,
-0.0148925... | 14,598 | 14598 | |
Limit involving square roots
June 24th 2012, 06:37 AM #1
Newbie
Joined
Jul 2010
Posts
22
Limit involving square roots
Hi there,
I am trying to see why this function goes to zero at the limit of large n (for constant a):
$\frac{2}{a}(\sqrt{n}\sqrt{n+a}-2n-a)$
With some factoring out, I've ar... | 5 | [
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0.001190185546875,
-0.03491210... | 14,599 | 14599 |