content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
[SOLVED] Trig
May 6th 2008, 04:05 PM #1
can some one please show me how to show that this equation is true?
cot^2x-cos^2x= cot^2x * cos^2x
and i have one more question:
in solving:
4cos^2x-3=0
i get +- sqrt. 3/2
this means that there are 4 answers, but in the book, it gives me 2 :
pi/... | 4 | [
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Ring theory
February 22nd 2013, 09:12 PM #1
Member
Joined
Sep 2012
From
india
Posts
78
Ring theory
I have a little confusion regarding the following fact :
In a ring R if ab = ac then why can't we conclude that b = c ?
Help will be appreciated.
Re: Ring theory
I don't believe that eve... | 5 | [
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0.021728515625,
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limit problem with radicals
June 11th 2009, 03:29 PM #1
Member
Joined
Aug 2008
Posts
249
limit problem with radicals
lim [(1+h)^(1/2) - (1-h)^(1/2) - 2] / h
h~> 0
"limit as h approaches 0 of [(the square root of 1+h) - (the square root of 1-h) - 2] all over h"
i plugged in 0 and i get the i... | 5 | [
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Patent US20040260468 - Method and apparatus for compensating for acceleration errors and inertial navigation system employing the same
BACKGROUND OF THE INVENTION
[0001] This application is based upon and claims the benefit of priority from Korean Patent Application No. 2003-38682, filed on Jun. 16, 2003, in the Korea... | 4 | [
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Key concepts: Confidence interval of a mean
What is the confidence interval of a mean?
The confidence interval (CI) of a mean tells you how precisely you have determined the mean.
For example, you measure weight in a small sample (N=5), and compute the mean. That mean is very unlikely to equal the population mean. Th... | 4 | [
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Calculus - maximizing area
November 18th 2009, 07:39 PM #1
Newbie
Joined
Nov 2009
Posts
2
Calculus - maximizing area
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10−x2. What are the dimensions of such a rectangle with the greatest possible area?
We f... | 4 | [
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On photons in perpendicular directions
Dear Friends,
I want to indicate a question on photons. Imagine that a photon goes in a direction and hits in a mirror to 45º. This photon is later observed like it has 90º respect its original direction.
Well, now imagine that this mirror is closed in a black box, and you don't... | 4 | [
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Integration by substitution.
February 11th 2013, 03:07 PM #1
Integration by substitution.
Hello I'm sorry to ask again, but would somone be willing to look over this and tell me where I've gone wrong. Thank you.
I know the method I'm using is probably very shoddy, but it's the best I could do.
The quest... | 5 | [
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Electric field inside a conducting cylinder with wire
Hello Liquidxlax,
Liquidxlax
2. Relevant equations
E[r] = (4pikQ)/(2pirL) cylinder charge distribution
Okay, that equation is good for the electric field in the region
outside
of a very long, charged wire or cylinder. Which is good, because we are concerned ... | 4 | [
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Solving real life problem with differential equation
Woolyabyss
1. The problem statement, all variables and given/known data
A car starts from rest.When it is at a distance s from its starting point,its speed is v and it acceleration is a = (25v + v^3).
Show that dv = (25 + v^2)ds and find its speed when s = 0.01
... | 5 | [
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volume of solid of revolution
July 3rd 2011, 02:56 AM
vidhi96
volume of solid of revolution
Hi I have to find volume of solids for f(x)= (1/x) cos(1/x) from x= 2/3pi to x= 2/pi and so far this is what I have done attached here as I don't know how to type all fancy stuff- so please have
a look and any guidanc... | 5 | [
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absolute value on both side of equation
August 23rd 2010, 01:25 PM #1
Newbie
Joined
Aug 2010
Posts
5
I solved this absolute value equation and I am confuse about the answer given in the book for this question, the answer in the book is x > = 0 or x = -2/3 please tell me how can I get this answer
from ... | 4 | [
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Using Gauss Jordan Elimination for a problem
September 30th 2011, 05:24 PM #1
Newbie
Joined
Sep 2011
Posts
3
Using Gauss Jordan Elimination for a problem
The problem reads:
Three people play a game in which there are always two winners and one loser. They have the understanding that the loser gives ... | 4 | [
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Function notation
December 8th 2011, 04:09 PM
daword177
Function notation
Find the equation of the line. Write the equation using function notation.
Through (-2,4); perpendicular to f(x)=-2x+3
The answer is 1/2x +5 but I dont know how they got that.
2nd question
Through (6,-6); parallel to... | 4 | [
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Relativistic centripetal force
DaleSpam
Thanks for posting the "standard" metric.
You are welcome.
If you are using the Gron metric then your result is wrong. The [itex]\omega[/itex] he uses is [itex]\omega=d\theta/dt[/itex] (see eq 5.2). The only way your result can be right is if you are using a
different metric... | 4 | [
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Patent US5715166 - Surface position locating apparatus
This invention pertains to surface inspection and identification and more particularly to an apparatus for registering three dimensional shapes.
BACKGROUND OF THE INVENTION
Typically, in part fabrication where an irregular controlled surface is desired, the contr... | 4 | [
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How would one characterize a PR-complete language?
up vote 3 down vote favorite
The complexity class $PR$ is the set of all formal languages that can be decided by a primitive recursive function. Is there any language $l$ known to be complete for this class, i.e., for every
language in $PR$ there is a primitive-recurs... | 5 | [
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Electric field and magnetic field - proton deflection
1. The problem statement, all variables and given/known data
when protons travelling north in a horizontal plane enter a region of uniform magnetic field of 0.8Teslas in the downward direction, they are deflected into a horizontal circle of radius 0.2 meters.
what ... | 4 | [
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[SOLVED] More Sim Equations
February 11th 2009, 04:54 AM #1
Member
Joined
Oct 2007
Posts
188
Please help with:
$X + 7Y = 6$
$3X + 5Y = 14$
I still cant get my head around this!
Thanks in advance!
ADY
For example multiply the first equation (both sides) by 3: $3X + 21Y = 18$ a... | 4 | [
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0.052246093... | 18,118 | 18118 | |
Patent US6044120 - Time-varying weight estimation
CROSS REFERENCES TO RELATED APPLICATIONS
This application is related to U.S. patent application Ser. No. 08/847,956, entitled "Adaptive Antenna Array Processing Arrangement Using A Combined Coherent And Constant-Modulus Reference Signal",
now U.S. Pat. No. 5,887,038, U... | 4 | [
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0.02514... | 18,119 | 18119 | |
Very "Messy" Integrals
Math Challenge Evaluate the following Integrals. 1) $\int \sqrt{x+\sqrt{a^2+x^2}}dx$ 2) $\int \sqrt{x+a\sqrt{ax-a^2}}dx$ Moderator approved by CaptainBlack
Last edited by CaptainBlack; December 18th 2011 at 12:06 PM.
1) $\begin{array}{l}x + \sqrt {{x^2} + {a^2}} = u\\\\\left( {1 + \frac{1}{{2 \... | 5 | [
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Simplify in Mathematica
Emeritus
Sci Advisor
PF Gold
P: 9,247
I should have included the full code in my post. Sorry about that. You can see it below. I should perhaps also mention that this is my first attempt to use Mathematica to do anything at all really.
So it's possible that I'm doing many things wrong. I'... | 4 | [
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Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 341232, 12 pages
http://dx.doi.org/10.1155/2013/341232
Research Article
Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection
^1College of Engineering, Ocean... | 4 | [
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Patent US6876744 - Methods and apparatus for enhanced CMEA including a CMEA iteration preceded and followed by transformations and employing an involuntary lookup
This application claims the benefit of U.S. Provisional Application Ser. No. 60/053,412, filed Jul. 22, 1997, and U.S. Provisional Application Ser. No. 60/05... | 4 | [
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Differentiation problem
f(x) = x+x+x... (x times)
g(x) = x^2
Obviously f(x) = g(x), for example
if x=4 then f(x)=x+x+x+x = 4+4+4+4 = 16
if x=5 then f(x)=x+x+x+x+x = 5+5+5+5+5 = 25
Now let's differentiate both.
f'(x)=d/dx x + d/dx x + d/dx x... (x times)
and since d/dx x = 1, f'(x)=1+1+1... (x times) = x.
g'(x)=d/d... | 5 | [
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Normal space and Tietze/Urysohn
June 8th 2011, 06:50 AM #1
Junior Member
Joined
Oct 2010
Posts
56
I’m having a really hard time with this one. On a conceptual level and on a technical level. I’ve got my three topology books here, but I can’t seem to make anything out of it. Can somebody
enlighten me?
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printf returns error
the follow is a code that I've started. This code is from working template that I created previously. that works and iterates as expected, but this equations with these parameters gives me the pintf error in bold at the bottom.
Can you please help with the error at the bottom of code that is in b... | 4 | [
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a volume integration question
October 25th 2009, 12:19 AM #1
Junior Member
Joined
May 2009
Posts
37
a volume integration question
The area bounded by the parabola y=2x-x^2, the y-axis and the line y=1 is rotated about the X-axis. Find the volume generated.
Find the volume of the solid generated by t... | 4 | [
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0.021240234375,
-0.015869140625,
-0.090... | 18,127 | 18127 | |
Symmetric Difference Proof
January 6th 2011, 12:31 PM #16
$\displaystyle \text{let} \ x \in (A \cap B^{c}) \cup (B \cap A^{c})$
$\displaystyle \text{then} \ x \in (A \cap B^{c}) \ \text{or} \ x \in (B \cap A^{c})$
$\text{so} \ (x \in A \ \text{and} \ x \in B^{c}) \ \text{or} \ (x \in B \ \text{and} \ x \... | 4 | [
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0.06005859375,
-0.0296630859375... | 18,128 | 18128 | |
standard deviation question
August 5th 2009, 04:18 PM
fiurik
standard deviation question
hi all.
i have a problem. i am trying to figure out the SD for a data set where the largest value is 5 (it's a data set of customer service ratings from 1 - 5) My mean is 4 and my standard deviation is
2. How is thi... | 4 | [
0.07666015625,
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0.0859375,
-0.03... | 18,129 | 18129 | |
Inhomogeneous diff EQ, undetermined coefficients
Find the solution of:
y" + 3y' = 72sin(3t) + 36cos(3t)
where y(0) = 6 and y'(0) = 9
I first found the solution to the homogeneous eq:
the roots (R^2 + 3R = 0) are R = 0, -3
which gives the family of solutions:
y = a(1) + be^(-3t)
and y' = -3be^(-3t)
using the initial... | 5 | [
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Maximal ideal (x,y) - and then primary ideal (x,y)^n
November 12th 2013, 01:22 AM #1
Maximal ideal (x,y) - and then primary ideal (x,y)^n
Example (2) on page 682 of Dummit and Foote reads as follows: (see attached)
------------------------------------------------------------------------------------------
... | 4 | [
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[SOLVED] Prove that if h(u,v)=f(sin u + cos v), then (h_u)sin v + (h_v)cos u=0.
November 5th 2009, 09:27 AM #1
Senior Member
Joined
Feb 2008
Posts
410
[SOLVED] Prove that if h(u,v)=f(sin u + cos v), then (h_u)sin v + (h_v)cos u=0.
Prove that if $h(u,v)=f(\sin u + \cos v)$, then $h_u\sin v+h_v\cos u=0$.
... | 4 | [
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-0.012145... | 18,132 | 18132 | |
Analyticity of Log(z)
June 15th 2011, 09:44 PM #1
Senior Member
Joined
Apr 2010
Posts
487
Analyticity of Log(z)
The question
Where is the function $Log(z^2 - 1)$ analytic?
My attempt
The branch cut is on the negative real axis, so:
$z^2 - 1 = (x^2 - y^2 - 1) + i(2xy)$
$x^2 - y^2 - 1... | 5 | [
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0.11669921875,
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-0.00445556640625,
-0.1552... | 18,133 | 18133 | |
Interpreting results: Skewness and kurtosis
Interpreting skewness and kurtosis
Skewness quantifies how symmetrical the distribution is.
•A symmetrical distribution has a skewness of zero.
•An asymmetrical distribution with a long tail to the right (higher values) has a positive skew.
•An asymmetrical distribution w... | 4 | [
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trigonometric identities
May 7th 2007, 05:12 PM
anonymous
trigonometric identities
i have been staring at my book for the past hour waiting for divine inspiration...
you know the identities where for example sin(x) = 1 / csc(x) and cos(x) = 1 / sec(x)
HOW do i apply that stuff to for example this (dire... | 4 | [
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0.0... | 18,135 | 18135 | |
Integration with exponential and inverse power
dauto
I would try using Feynman parametrization anyways, and than convert the integration to polar coordinates (The fact that you end up with an incomplete gamma function is a clue that polar coordinates
were used).
Thanks. I just found the solution from another paper.... | 4 | [
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0.0424804687... | 18,136 | 18136 | |
Central Limit Theorem
May 16th 2010, 08:23 PM #1
Junior Member
Joined
Apr 2010
Posts
30
Central Limit Theorem
See Question 3 on the attached document....
It is a past exam paper but the solutions are not provided so i cant see where i am going wrong....
I derived the PGF in part (i) then procee... | 4 | [
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-0.075... | 18,137 | 18137 | |
mechanics help (moments)
January 21st 2009, 06:31 AM #1
Super Member
Joined
Sep 2008
Posts
607
mechanics help (moments)
I am stuck on question 4b, if anyone can have a look at my attachment and help ?
I keep getting a negative answer. Here's my working;
the reactions at point Q and R = $2Y + Y... | 4 | [
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... | 18,138 | 18138 | |
Question on planar graphs
April 8th 2009, 09:09 AM #1
Newbie
Joined
Apr 2009
Posts
1
Question on planar graphs
i'm stuck on this proof:
prove that any planar graph with very vertex having degree 5 has at least 12 vertices.
a planar graph G with all v vertices with degree 5 has 5v/2 edges
Eul... | 4 | [
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-0.041... | 18,139 | 18139 | |
Patent US7849040 - Method for using isometries on the space of signatures to find similar sets of data
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of PPA Ser. No. 60/883,001, filed Dec. 31, 2006 by the present inventor and PPA Ser. No. 60/882,838, filed Dec. 29, 2006 by the present inve... | 4 | [
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Show that pos int divisible by 3 iff sum of digits divisible by 3
November 18th 2009, 07:48 PM
oldguynewstudent
Show that pos int divisible by 3 iff sum of digits divisible by 3
Show that a positive integer is divisible by 3 iff the sum of its digits is divisible by 3.
This is from Rosen but I can't follow ... | 4 | [
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0.0155029296875,
-0.041259765625,
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0.04565... | 18,141 | 18141 | |
Prove rhombus
You can actually prove a stronger result easily using vectors. The diagonals of a parallelogram bisect one another. The rhombus is just a special case of a parallelogram with all sides being equal.
Let the parallelogram be drawn on a Cartesian plane as shown in the diagram, and the sides labelled as vect... | 4 | [
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0.0189208984375,
-0.026733398... | 18,142 | 18142 | |
limits question.
June 21st 2010, 06:16 AM #1
Newbie
Joined
Jun 2010
Posts
3
limits question.
hi people,
i a maths learner and i need help with this limits question i dont know how to answer because of the letters, can someone please answer it.
Last edited by mr fantastic; June 21st 2010 at 01:5... | 4 | [
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0.083984375,
0.02783203125,
0.0110473632812... | 18,143 | 18143 | |
Question on Elasticity of Demand.
January 27th 2011, 08:08 AM #1
Newbie
Joined
Dec 2008
Posts
12
How do we find the value of q, where demand is elastic?
The demand equation is:
p = 21 - 2√q
for 10 >= q =< 90
BOTH SIGNS ARE LESS THAN OR EQUAL AND GREATER THAN OR EQUAL.
The first par... | 5 | [
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-0.06... | 18,144 | 18144 | |
Unique Sylow p-Subgroups
December 3rd 2011, 12:28 PM
olgashukina
Unique Sylow p-Subgroups
If p is an odd prime, prove the following.
a) If G is a group of order $(p-1)p^2$, then G has a unique Sylow p-subgroup.
b) There are at least four groups of order $(p-1)p^2$which are pairwise nonisomorphic.
I... | 5 | [
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0.0028228759765625,
-0.0776... | 18,145 | 18145 | |
Notions of degree for maps $S^n \to S^n$?
up vote 6 down vote favorite
2
In algebraic topology, we define a degree for a map $f: S^n \to S^n$ as where the induced map $f_*$ on the $n$-th homology group of $S^n$ sends $1$.
In differential topology, we have a different (same?) notion of degree for $f$. You take a regul... | 4 | [
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Deceptive Isomorphism
July 18th 2006, 11:36 AM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Deceptive Isomorphism
I have a question which might be useful if true.
If two fields have their additive groups and multiplicative groups isomorphic does it mean that t... | 5 | [
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0.01684570... | 18,147 | 18147 | |
Proving Binomial Theorem (1-1)^n = 0
May 27th 2008, 05:56 PM #1
Newbie
Joined
May 2008
Posts
3
Proving Binomial Theorem (1-1)^n = 0
This was the best fit for Binomial Theorem I could find--Probability & Stats, hopefully it's in the right spot.
The question:
Use the binomial expansion of (a + b)^... | 4 | [
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0.07080078125,
-0.0091552734375... | 18,148 | 18148 | |
the definition of exact differential equation
Encyclopedia
exact differential equation
type of differential equation that can be solved directly without the use of any of the special techniques in the subject. A first-order differential equation (of one variable) is called exact, or an
exact differential, if it is th... | 4 | [
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-... | 18,149 | 18149 | |
Calculating a Weighted Average and its Variance
August 27th 2007, 03:15 AM #1
Newbie
Joined
Aug 2007
Posts
8
Calculating a Weighted Average and its Variance
Hi I am not sure this constitutes an advanced query or a basic one. It has me beaten! I am trying to find a formula and so construct a computer algo... | 4 | [
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0.0218505859375,
... | 18,150 | 18150 | |
Galois Group, generators
March 15th 2009, 07:30 PM #1
Newbie
Joined
Mar 2009
Posts
7
Galois Group, generators
Suppose $G$ is the Galois Group over $\mathbb{Q}$ of one of the polynomials:
i) $x^{11}-1$
ii) $x^4-2$
For your choice of polynomial, find the generators of the splitting field $E$ ov... | 5 | [
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-0.0103... | 18,151 | 18151 | |
Probability random variables
Gott_ist_tot
1. The problem statement, all variables and given/known data
A random variable has a distribution function F(z) given by
F(z) = 0 if z< -1
F(z) = 1/2 if -1 <= z < 2
F(z) = (1-z^{-3}) is 2 <= z
Find the associated mean and variance.
3. The attempt at a solution
I drew the ... | 5 | [
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... | 18,152 | 18152 | |
When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible
By combining the mathematical history of extrema with contemporary examples, Nahin answers intriguing questions in this engaging and witty volume. He shows how life often works at the extremes--with
valu... | 4 | [
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On Rationality of Kneading Determinants
The Scientific World Journal
Volume 2014 (2014), Article ID 504160, 3 pages
http://dx.doi.org/10.1155/2014/504160
Research Article
On Rationality of Kneading Determinants
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 30 August 2013; ... | 5 | [
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Relationship between Area of Square and Rectangle
November 3rd 2009, 06:18 PM #1
Junior Member
Joined
Oct 2009
Posts
38
Relationship between Area of Square and Rectangle
(a) A rectangle has the same area as a square. The long side of the rectangle is four times the length of the short side. The perimeter... | 4 | [
0.10595703125,
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0.026611328125,
0.0240478515... | 18,155 | 18155 | |
For what values...
November 16th 2009, 06:10 PM #1
Member
Joined
Oct 2009
Posts
92
For what values of a and b will the function defined by f(x)=a(x-b ln x)
have f(2)=5 as arelative minimum value.Justify your conclusion.
first 2 is a relative minimum for the function that mean it is a critical po... | 5 | [
0.01531982421875,
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0.03515625,
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-0.095703125,
... | 18,156 | 18156 | |
expected value
January 26th 2009, 09:05 PM #1
Junior Member
Joined
Mar 2008
Posts
41
expected value
X is a random variable that represents the number of telephone lines in useby the technical support center of a software manufacturer at noon each day. The prob. distribution of X is show below
x 0 1 ... | 4 | [
-0.021484375,
0.05029296875,
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-0.0042724609375,
-0.032958984375,
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0.09912109375,
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0.0625,
0.000713348388671875,
0.0179443359375,
0.00075531005859375,
-0.03369140625,
-0.1186523... | 18,157 | 18157 | |
Negative Integers and exponents.
December 7th 2007, 02:07 AM #1
Newbie
Joined
Dec 2007
Posts
2
Negative Integers and exponents.
Ok, so my homework was to figure out how negative integers are affected by exponents. The questions were:
-3^2 = __
-3^3 = __
-3^4 = __
-3^5 = __
So I got ... | 4 | [
-0.0284423828125,
0.0125732421875,
-0.06298828125,
0.08544921875,
0.0311279296875,
-0.07177734375,
0.0771484375,
0.0029449462890625,
0.0303955078125,
0.00286865234375,
0.042724609375,
-0.031005859375,
0.031982421875,
0.06591796875,
0.0218505859375,
0.000335693359375,
-0.0284423828125... | 18,158 | 18158 | |
Potential inside a grounded spherical conducting shell due to point dipole
JayKo
well, i just informed by professor the point dipole at the origin will have the potential of [tex]\frac{1}{4\pi\epsilon}\frac{p*cos\theta}{r^{2}}[/tex] inside the sphere (p=dipole moment).
the boundary condition at the shell is V=0. an... | 4 | [
-0.01263427734375,
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0.02880859375,
0.0233154296875,
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0.06884765625,
0.06787109375,
-0.02197265625,
-0.006317138671875,
-0.0... | 18,159 | 18159 | |
Minimization problem
December 8th 2011, 02:10 AM
MathMinors
Minimization problem (multiple choice(
A cylindrical can is to contain 2000 cu. inches of liquid. What dimensions will minimize the amount of metal used in the construction of the can?
Choices:
a. D = 6.828in, H = 13.656
b. D = 6.424 in, H =... | 5 | [
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0.027... | 18,160 | 18160 | |
revenue growth help
April 23rd 2007, 08:41 PM
superpieboy
revenue growth help
hi everyone, i need some serious help with this question!
i am in the middle of studying for a manager position offered by my employers
and need to take this manager lap test, i have been looking at this one question all day, ... | 4 | [
-0.02294921875,
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-0.04565... | 18,161 | 18161 | |
No. of ways to seat around a table when seats are numbered
December 1st 2011, 10:40 PM #1
Super Member
Joined
Dec 2009
Posts
755
No. of ways to seat around a table when seats are numbered
Three single men, two single women and two families take their places at a round table. Each of the two families cons... | 4 | [
0.048095703125,
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0.08984375,
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-0.029541015625,
-0.0137939453... | 18,162 | 18162 | |
Pricing Currency Option Based on the Extension Principle and Defuzzification via Weighting Parameter Identification
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 623945, 9 pages
http://dx.doi.org/10.1155/2013/623945
Research Article
Pricing Currency Option Based on the Extension Principle and Defuzzif... | 4 | [
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0.0625,
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... | 18,163 | 18163 | |
Patent US6208139 - System and method of phase sensitive MRI reconstruction using partial k-space data
BACKGROUND OF THE INVENTION
The present invention relates generally to magnetic resonance imaging (MRI), and more particularly to system and method of phase sensitive MRI reconstruction using partial k-space data to m... | 4 | [
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... | 18,164 | 18164 | |
Predictive iteration method
Hi,
I came up with a predictive iterative method that converges very rapidly, when writing a java simulation. It turns out that this method can be used for a wide variety of problems and is very simple
because unlike the bijective method it does not require upper and lower bounds to be foun... | 5 | [
-0.103515625,
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-0.030029296875,
-0.0... | 18,165 | 18165 | |
How do I start this problem?
September 16th 2009, 06:52 PM #1
Newbie
Joined
May 2009
Posts
6
How do I start this problem?
\int \frac{xtan^-1 } {sqrt 1+x^2} dx
I'm pretty sure I have to find uv, v, du and u, but I'm having some trouble with it. Tried trigonometric substitution but it doesn't seem to... | 5 | [
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... | 18,166 | 18166 | |
Compound Angle
November 9th 2009, 07:30 PM
Johnny123321
Compound Angle
Angle a lies in the second quadrant and angle b lies in the third quadrant such ath cos a = -3/5 and tan b = 24/7
determine an exact value for
cos(a+b)
and
sin (a-b)
I got cos(a+b) = cosacosb - sinasinb
=(-3/5)(-7/25... | 4 | [
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-0.06396484375,
0.0... | 18,167 | 18167 | |
Volume of solid revolution
March 22nd 2011, 11:46 PM #1
Newbie
Joined
Mar 2011
Posts
10
Volume of solid revolution
Have a problems with the following question:
Consider the solid of revolution obtained when the region surrounded by x=3 ,x=6 ,y=0 and y= x+5 is rotated about the line y=2
Enter a... | 4 | [
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0.072265625,
-0.0262451171875,
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-... | 18,168 | 18168 | |
urgent help needed please!
November 6th 2008, 06:22 AM
14041471
urgent help needed please!
1 Simplify x^2 +4x+3 / x+3
2 simplify x^2 -1 / x+1
3 Divide x^2 - 1 into f(x) = 2x^3 + 3x^2 + 9x + 5. Write your answer in the form given by the Division Algorithm; in other words, write your answer as: 2x^3 + 3x... | 4 | [
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0.06298828125,
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0.0037994384765625,
-0.078125,
-0.000172... | 18,169 | 18169 | |
Proof for matrix
March 6th 2007, 09:50 AM #1
Junior Member
Joined
Dec 2006
Posts
43
Proof for matrix
This proof was confusing me so if anyone could show me how it is done, then i would appreciate it!
If A is a nonsingular matrix and c is in the set of real numbers w/ c not equal to 0, prove that the... | 4 | [
-0.06494140625,
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-0.0252685546875,
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0.036376953125,
0.044677734375,
-0.09326171875,
0.020263671875,
-0.033447265625... | 18,170 | 18170 | |
sum fof series?
August 20th 2009, 06:23 AM #1
Junior Member
Joined
Mar 2009
Posts
52
sum fof series?
How do we find the sum of the below series:
a)
1 + 1/3 + 1/6 + 1/10 + 1/15 + .........
b)
1/2 + 1/6 + 1/12 + 1/20 + ......
Thanks!!!
(b) $\sum_{n=1}^{\infty} \frac{1}{n(n+1)} = \... | 4 | [
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0.04... | 18,171 | 18171 | |
f: E → (X1 x X2) is cont iff (g1 o f): E → X1 and (g2 o f): E → X2 are both cont
October 20th 2012, 08:46 AM
Kiefer
f: E → (X1 x X2) is cont iff (g1 o f): E → X1 and (g2 o f): E → X2 are both cont
I have an outline for the proof, but would appreciate someone checking if the logic in Claim 1.1 is sound and I coul... | 5 | [
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-0.02783203125,
-0.01843261... | 18,172 | 18172 | |
Find the limit - inverse trig
January 12th 2010, 11:10 AM #1
Member
Joined
May 2009
Posts
129
Find the limit - inverse trig
Find the limit:
lim x-> 0+ tan ^-1 (lnx) =?
I have no ide where to begin here? Can someone explain this in simple steps? Please, do not just give me another limit equation... | 5 | [
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0.00171661376953125,
-0.0400390625,
-0.136... | 18,173 | 18173 | |
help with a few simple problems..
May 10th 2007, 02:34 AM #1
Newbie
Joined
May 2007
Posts
2
help with a few simple problems..
1: Lee graphs the line y = 2x + 8 on a coordinate plane. What are the coordinates of the x-intercept of the line?
2: Data collected and plotted by Shawn has generated the qu... | 4 | [
-0.07275390625,
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0.05859375,
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0.10498046875,
-0.03125,
... | 18,174 | 18174 | |
Evaluate the integral
Evaluate f(x), defined below, in terms of x.
Hint: you may need to use special functions.
http://latex.codecogs.com/gif.latex?...} \cos(t)^x dt
Re: Evaluate the integral
Re: Evaluate the integral
Lol, way to spoil the solution without even giving one xD
Re: Evaluate the inte... | 5 | [
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0.03125,
-0.0264892578125,
-0.053955078125,
0.07568359375,
-0.010681152343... | 18,175 | 18175 | |
Simple Algebra Question
How about this one? i came up with 3(x+3)/x+9 but i'm thinking it may just be 2 Find and Simplify:
Hi dempc, The only thing I'm seeing is $\frac{4x+3}{x+9}-\frac{x-6}{x+9}$ Is that it? It looks like you might have a picture attached, but I don't see it. If so, then subtract the numerators and
s... | 4 | [
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-0.00537109375,
-0.06884765625,
0.0... | 18,176 | 18176 | |
Optimization Problem
November 16th 2008, 12:00 PM #1
Junior Member
Joined
Sep 2008
Posts
54
Optimization Problem
I need some help with this optimization problem:
Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two side of the rec... | 4 | [
0.0546875,
0.03369140625,
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-0.05712890625,
-0.087890... | 18,177 | 18177 | |
Exponential proof
My question is to prove the following: $(a^{b1})^{b2}=a^{b1b2}.$ Any help would eb appreciated.
What definitions do you have to work with? Certainly, for $b_1$ and $b_2$ positive integers, you can think of " $a^b_1$" as meaning "a multiplied by itself $b_1$ times" so that $(a^{b_1})^b_1$ is "(a
multi... | 4 | [
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-0.0751953125,
0.1376953125,... | 18,178 | 18178 | |
More complicated quotients
Hi (again Both the numerator and the denominator of the fraction have been multiplied by $\sqrt{3t^2+4}$. How could you've seen this ? Take a look at the denominator : it was $3t^2+4$ and it becomes
$(3t^2+4)^{\frac32}=(3t^2+4)\sqrt{3t^2+4}$ hence it has been multiplied by $\sqrt{3t^2+4}$. So... | 5 | [
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-0.0299072265625,
... | 18,179 | 18179 | |
Variational Iteration Method for the Magnetohydrodynamic Flow over a Nonlinear Stretching Sheet
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 573782, 5 pages
http://dx.doi.org/10.1155/2013/573782
Research Article
Variational Iteration Method for the Magnetohydrodynamic Flow over a Nonlinear Stretching ... | 5 | [
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-0.03039... | 18,180 | 18180 | |
integration involving exponentials
April 26th 2010, 10:11 AM
wahhdoe
integration involving exponentials
Hi, I have a question and the answer but i am slightly uncertain how the answer is achieved and was wondering if someone could please explain it to me.
Q: Using the fact that 2/(e^[2x]+1)=1 - (e^[2x]-1)/(... | 5 | [
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0.087890625,
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-0.003326416015625,
-0.0480957... | 18,181 | 18181 | |
Anisotropic harmonic oscillator
1. The problem statement, all variables and given/known data
The particle with the mass m is in 2D potential:
[tex]V(r)=\frac{m}{2}(\omega_x^2x^2+\omega_y^2y^2),\quad \omega_x=2\omega_y[/tex],
and is described with wave package for which the following is valid: [tex]\langle x\rangle (0... | 4 | [
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0.1044921875,
-0.0654296875,
-0.04931640625,
... | 18,182 | 18182 | |
Observation: A Prime / Mersenne / (Ramanujan) Triangular Number Convolution
Hi CRGreathouse. Don't know if you've been checking in at all, but I thought I'd make mention of the fact that I have cleaned up my initial statement just a bit. It might still make one "cringe," but
it does accurately "capture" all the indices... | 4 | [
-0.0625,
0.00311279296875,
-0.0020599365234375,
-0.00421142578125,
0.03271484375,
-0.0267333984375,
0.0308837890625,
0.039794921875,
0.0033111572265625,
-0.08056640625,
-0.01251220703125,
-0.00180816650390625,
0.038818359375,
-0.024169921875,
-0.01708984375,
-0.04931640625,
-0.037109... | 18,183 | 18183 | |
Stat and prob help
April 21st 2007, 04:18 PM #1
Junior Member
Joined
Feb 2007
Posts
32
Stat and prob help
I have three questions that I am not sure of: Help on any of them is greatly appreicated
1) Assume the probability that you will make a sale on a given phone call is .19
a) Find the probabil... | 5 | [
0.08154296875,
0.00811767578125,
-0.012939453125,
-0.0458984375,
-0.0654296875,
0.01123046875,
0.09228515625,
0.00994873046875,
-0.001922607421875,
0.08056640625,
0.0576171875,
-0.001220703125,
0.06494140625,
-0.0390625,
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0.00179290771484375,
0.00921630859375,
-0.... | 18,184 | 18184 | |
Simple conditional continuous distribution Q
February 20th 2011, 01:58 PM #1
Junior Member
Joined
Aug 2010
Posts
53
Simple conditional continuous distribution Q
Hi all,
Been going through a question I have the answer to but no working from an exercise book... can't see the logic. Wonder if anyone ca... | 5 | [
0.0108642578125,
-0.005889892578125,
0.018798828125,
-0.08740234375,
0.08935546875,
-0.0264892578125,
0.07080078125,
-0.005767822265625,
-0.09716796875,
-0.003326416015625,
0.008056640625,
0.0322265625,
0.053955078125,
0.08984375,
0.007232666015625,
0.00180816650390625,
0.01049804687... | 18,185 | 18185 | |
Understanding Gravity: Some Extra-Dimensional Perspectives
ISRN Astronomy and Astrophysics
Volume 2011 (2011), Article ID 131473, 10 pages
http://dx.doi.org/10.5402/2011/131473
Review Article
Understanding Gravity: Some Extra-Dimensional Perspectives
^1School of Physics, University of Hyderabad, Hyderabad 500 046, I... | 4 | [
-0.11376953125,
-0.07177734375,
0.038330078125,
0.0546875,
0.0281982421875,
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0.04296875,
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0.01123046875,
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-0.015625,
0.01220703125,
-0.06494140625,
0.0224609375,
-0.007476806640625,
... | 18,186 | 18186 | |
Patent US7715645 - Methods to estimate noise variance from a video sequence
FIELD OF THE INVENTION
The present invention relates generally to video processing, and more particularly to noise estimation in video signals.
BACKGROUND OF THE INVENTION
Noise estimation is required in many algorithms to process images or ... | 4 | [
-0.07958984375,
-0.056396484375,
0.0966796875,
-0.06640625,
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-0.060302734375,
-0.1611328125,
-0.024658203125,
0.07470703125,
0.097... | 18,187 | 18187 | |
AIEEE Concepts®
Trigonometry
Angle and Its Measurement
Angle:
an angle may be defined as a measure of the rotation of a half ray about its origin. An angle XOP is positive if it is traced by a ray revolving in the anticlockwise direction and negative if
it is traced by a ray revolving in the clockwise direction.
... | 4 | [
-0.0322265625,
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-0.09033203125,
-0.05908203125,
0.0079345703125,
-... | 18,188 | 18188 | |
MathGroup Archive: February 2004 [00150]
[Date Index] [Thread Index] [Author Index]
Re: simplifying first-order diff eq solution
• To: mathgroup at smc.vnet.net
• Subject: [mg46134] Re: simplifying first-order diff eq solution
• From:... | 4 | [
-0.1767578125,
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0.0341796875,
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-0.003936767578125,
... | 18,189 | 18189 | |
prime field
November 23rd 2009, 09:42 AM #1
Junior Member
Joined
Oct 2009
Posts
58
prime field
I need to show that the prime field $\mathbb{R}$ and the prime field $\mathbb{C}$ are in $\mathbb{Q}$
could i get help showing one of these (the harder one) then ill try doing the other one... ??
I as... | 5 | [
0.01300048828125,
0.0181884765625,
0.02392578125,
0.08056640625,
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0.06689453125,
0.01019287109375,
-0.036376953125,
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0.01239013671875,
-... | 18,190 | 18190 | |
Evolutionary Optimization of Electric Power Distribution Using the Dandelion Code
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 738409, 5 pages
http://dx.doi.org/10.1155/2012/738409
Research Article
Evolutionary Optimization of Electric Power Distribution Using the Dandelion Code
^1De... | 4 | [
-0.07373046875,
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-0.029541015625,
-0.02319335... | 18,191 | 18191 | |
Eigenspace of \lambda = 1 for a bounded linear operator and its adjoint
December 3rd 2009, 04:24 PM #1
Newbie
Joined
Dec 2009
Posts
1
Eigenspace of \lambda = 1 for a bounded linear operator and its adjoint
$H$ is a Hilbert space and $T \in B(H)$ is such that $||T||_{H} \leq 1$. Show that $Tx = x \iff T^{... | 4 | [
-0.036376953125,
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0.0361328125,
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0.0225830078125,
0.08837890625,... | 18,192 | 18192 | |
L'hopital's rule
Subtract the fractions to get an indeterminate form: $\lim_{x \to 1^+} \left( \frac{x}{x-1} - \frac{1}{\ln x}\right) = \lim_{x \to 1^+} \frac{{\color{red}x\ln x} - {\color{blue}x} + 1}{{\color
{magenta}(x-1)\ln x}} = \left[\frac{0}{0}\right]$ Use L'hopital's rule to get (product rule is needed to take ... | 5 | [
0.0108642578125,
-0.0198974609375,
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0.027099609375,
-0.07275390625,
-0.00004267692565917969,
-0.048095703125,
-0.... | 18,193 | 18193 | |
Manually calculate Arccosine and Arctangent
Though it is nearly 8 weeks late, if you need only about 4 digits of accuracy, you could use [itex]tan^{-1}\approx \frac{x(240+115x^{2})}{240+195x^{2}+17x^{4}}, x\in [-1,1][/itex] and for x outside
that range, use the identity [itex]tan^{-1}(x)=\frac{\pi}{2}-tan^{-1}(\frac{1}... | 5 | [
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0.0576171875,
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-0.059326171875,
0.0693359375,
0.018... | 18,194 | 18194 | |
Angle in a circle
September 8th 2010, 09:22 PM #1
Junior Member
Joined
Apr 2010
Posts
42
Angle in a circle
I've found that angle BDE is 122°, but I don't know how to find BOE. I know that BO and OE are the radii, but is there a way to prove that DE and BD are of equal length? And even if I do find
an... | 4 | [
-0.0966796875,
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-0.09423828125,
0... | 18,195 | 18195 | |
arclength parameter
April 18th 2010, 07:46 PM #1
Member
Joined
Oct 2009
Posts
195
Thanks
1
arclength parameter
I'm to find the acrlength parameter for s = s(t) for the path
x = e^at cos bt i + e^at sin bt j + e^at k
I do know the formula for the arclength parameter, but I'm not quite sure h... | 5 | [
-0.020263671875,
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0.010986328125,
-0.016357421875,
0.... | 18,196 | 18196 | |
Help with Ellipses
December 6th 2010, 07:15 PM
DividingBy0
Help with Ellipses
Hello, I have the basics of solving for foci, vertices, eccentricity and graphing ellipses down, but for some reason these two problems have me scratching my head.
x^2+4y^2=1 and y^2=1-2x^2 both of these need to be put into std for... | 4 | [
0.0028076171875,
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0.022705078125,
-0.006591796875,
0.091796875,
-0.05859375,
-0.052001953125,... | 18,197 | 18197 | |
2 hard word problems
June 30th 2008, 02:59 AM
delicate_tears
2 hard word problems
This is for a maths challenge thing I'm doing but I'm gonna change the numbers around a bit so that I'm not relying on others for help entirely. Please be really clear on the method and steps
used- I know you guys are of great ... | 4 | [
0.0146484375,
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-0.07177734375,
-0... | 18,198 | 18198 | |
First order Statistics problem
May 7th 2012, 12:58 AM #1
Newbie
Joined
May 2012
From
South Africa
Posts
3
First order Statistics problem
Hi There
I have random variables X1,X2,X3,...,XN which are I.I.D. Each of these random variables are Erlang Distributed(Special case of Gamma Distribution). Ra... | 5 | [
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0.000133514404296875,
-0.... | 18,199 | 18199 |