content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Binomial Expension
Write down the first three term in the binomial expansion of $3\sqrt {1 + \frac{x}{125}}$.Hence,deduce that $3\sqrt {126} \approx 5.013$.
Write this as $\displaystyle 3\left(1 + \frac{x}{125}\right)^{\frac{1}{2}}$. You should know that the binomial series is $\displaystyle (1 + X)^{\alpha} = 1 + \al... | 5 | [
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connectivity question in R^{n}
December 9th 2009, 02:00 AM #1
Newbie
Joined
Dec 2009
Posts
5
connectivity question in R^{n}
This is an exercise (4.48) from Apostol's book on analysis. S is an open connected set in $R^{n}$. Let T be a component of R^{n} - S. Prove that $R^{n} - T$ is connected.
I tak... | 5 | [
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Help please with a few quadratics
June 12th 2006, 07:42 AM #1
Junior Member
Joined
May 2006
Posts
38
Help please with a few quadratics
I have a few problems I have having difficulty at arriving at a solution that fits correctly.
The first one solve the equation:
5x^2 - x - 1 = 0
The secon... | 4 | [
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If X1, X2, ...., Xn are iid does that necessarily mean X1^2, X2^2, ..., Xn^2 are iids
August 17th 2011, 12:42 AM #1
Newbie
Joined
Aug 2011
Posts
7
If X1, X2, ...., Xn are iid does that necessarily mean X1^2, X2^2, ..., Xn^2 are iids
If X1, X2, Xn are iids, this means that:
Var(X1+X2+...+Xn) = Var(X1... | 5 | [
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Laplace Transform of Period Square Wave Function
February 28th 2010, 10:30 AM #1
Newbie
Joined
Feb 2010
Posts
2
Laplace Transform of Period Square Wave Function
I'm having trouble setting up my equation.
Square wave with period T = 2a.
f(t) = 2, 0<t<a
f(t) = 0, a<t<2a
Take the Laplace T... | 4 | [
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Need help with Linear functions
January 28th 2010, 09:32 PM #1
Junior Member
Joined
Jan 2010
Posts
40
Need help with Linear functions
How am I suppose to solve this problem? By creating a formula for it?
If so this is what I got so far; by taking the years 1980-1990, I tried to find the average rate... | 4 | [
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Lebesgue integral
October 23rd 2009, 10:18 PM #1
Member
Joined
Aug 2009
Posts
78
Lebesgue integral
Suppose $f$ is a non-negative integrable function on $X$ and $F_n=\{ x \in X : f(x)<1/n \}$.
Show that $lim_{n \rightarrow \infty} \int_{F_n} f = 0$.
Hello,
Let $G_n=X\backslash F_n=\{x\in X ~... | 5 | [
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Experimental Investigation on Material Transfer Mechanism in WEDM of Pure Titanium (Grade-2)
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 847876, 20 pages
http://dx.doi.org/10.1155/2013/847876
Research Article
Experimental Investigation on Material Transfer Mechanism in WEDM of Pure Ti... | 4 | [
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laplace equation
$\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0, u=-K \quad\mbox{at} \quad x=\pm b, y=\pm h$ How to solve this?
If you let $u = v - K$ then $v$ satisfies $\dfrac{\partial^2 v}{\partial x^2} + \dfrac{\partial^2 v}{\partial y^2} = 0$ where $v = 0$ on the boundary of the rectangle.... | 5 | [
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valid statement or not?
June 24th 2007, 10:59 AM
TheRekz
valid statement or not?
I have to determine whether the statement below is valid or not:
A convertible car is fun to drive. Isaac's car is not a convertible. Therefore, Isaac's car is not fun to drive.
My answer is that according to modus tollens... | 4 | [
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Equation of the Tangent Line
Posted by Stewart on Tuesday, June 5, 2012 at 6:58pm.
Find the equation of a line tangent to te curve xy = sqrt(xy - x) + 1 at the point (1, 2).
• Equation of the Tangent Line - Reiny, Tuesday, June 5, 2012 at 8:02pm
xy = (xy - x)^(1/2)
x dy/dx + y = (1/2)(xy - x)^(-1/2) (xdy/d... | 5 | [
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Proposition 8
If a straight line is cut at random, then four times the rectangle contained by the whole and one of the segments plus the square on the remaining segment equals the square described on the whole and
the aforesaid segment as on one straight line.
Let a straight line AB be cut at random at the point C.
... | 4 | [
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Inference in First Order Logic: Horn Clauses
Administrivia:
• Homework 5 will be handed out at the end of the class.
• Homework 3 will be returned at the end of class.
• The midterm is on Thursday.
Reasoning with FOL
We have talked about two kinds of logic: propositional and first-order (FOL).
Last time we s... | 5 | [
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the encyclopedic entry of conductive heat
Convective heat transfer
is a mechanism of
heat transfer
occurring because of bulk motion (observable movement) of fluids. This can be contrasted with
conductive
heat transfer, which is the transfer of energy by vibrations at a molecular level through a solid or fluid, and... | 4 | [
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... | 34,913 | 34913 | |
Rearranging Algebra
How do you rearrange from $2-\frac{k+2}{2^k}+\frac{k+1}{2^{k+1}}$ to give $2-\frac{k+3}{2^{k+1}}$ thank you!
Hi BabyMilo! I think you have made a typing error! If you mean : $2 - \frac{k + 2}{2^k} - \frac{k+1}{2^{k+1}}$ then you can arrange it to get $2 - \frac{k+3}{2^{k+1}}$ let me know and if you... | 4 | [
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Homework Help
Posted by Kristen on Wednesday, January 22, 2014 at 7:35pm.
Fred is closing a bank account t and wants to distribute the money among his grandchildren by giving each of them $20. To do this Fred needs an additional $62 . Instead he gave each grandchild $17
and had $7 left over. How many grandchildren doe... | 4 | [
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Using differentials to estimate a maximum error
July 11th 2009, 03:36 PM
arbolis
Using differentials to estimate a maximum error
Four positive numbers lesser than 50 each are rounded to the first decimal and then multiplied between themselves. Use differentials to estimate the maximum possible error of the produ... | 5 | [
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Another differential equation
December 12th 2008, 03:44 AM #1
Another differential equation
Hello
We got a container holding 100 liters of saltwater (concentration: 1%).
We pour 5 liters/min saltwater (2% conc.) and remove 5 liters/min of the liquid in the tank.
The concentration of salt is the sam... | 5 | [
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Ideal in matrix ring
October 24th 2012, 08:40 AM #1
Member
Joined
Oct 2012
From
israel
Posts
103
Thanks
14
Hi,
I need help with the following problem:
consider the ring of 3x3 matrices with entries in the ring Z36.How many matrices are there in the two sided ideal generated by the matrix d... | 5 | [
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Homework Help
Posted by sheila on Tuesday, January 29, 2008 at 9:33pm.
i need help in solving these 2 problems...please help..thank you...
Your home is built on a square lot. To add more space to your yard, you purchase an additional 4 feet along the side of the property. The area of the lot is now 9600 square feet. ... | 4 | [
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please help word problem
Last edited by billyducky@hotmail.com; March 4th 2008 at 07:11 PM. Reason: made mistake
Well, this is a simple free-fall problem. We have an initial speed and a vertical distance, so, we use our traditional kinematic formulas to solve the problem: First, we record what we have: $\text
{Initial... | 4 | [
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definite integral
Posted by Eric on Wednesday, May 15, 2013 at 10:51am.
Use the Riemann Sums corresponding to 5 inscribed rectangles of equal width to approximate the integral a= 1, b= 3, (1/x)dx
this is all for definite integral
i just know x1=1.4, x2=1.8, x3=2.2, x4=2.6, x5=3.0
how do i continue
• definite int... | 4 | [
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... | 34,921 | 34921 | |
Homework Help
Posted by alaina on Monday, January 7, 2008 at 4:16pm.
Find the area of each circle use 22/7 for pie.
1. r=14ft
2.d=3 1/3 yd
• Math - Damon, Monday, January 7, 2008 at 4:32pm
A = pi r^2
A = (22/7)(14)^2 , you do arithmetic
answer in square feet (ft^2)
in the second one r = D/2
... | 4 | [
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Homework Help
Posted by sonia on Saturday, November 12, 2011 at 6:07pm.
The magnetic field in the region shown below is increasing by 5 T/s. The circuit shown (with R=25 , C=55 µF, dimensions 1 m by 2 m) is inserted into the region as shown. The capacitor is initially
uncharged.
1. How long will it take the capacitor... | 5 | [
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increasing or decreasing function
for f(x)=x^4-32x+4 find where f'(x)=0, the intervals for which the function increase and decrease, and all the local extrema
Hi euclid2, $f'(x)=4x^3-32$ $f'(x)=0\ \Rightarrow\ x^3=\frac{32}{4}=8\ \Rightarrow\ x=2$ $f''(x)=12x^2$ This is positive when x=2, hence it is a minimum and sin... | 4 | [
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-0.060302734375... | 34,924 | 34924 | |
Linear Approx.
October 21st 2007, 07:15 PM #1
Member
Joined
Oct 2007
Posts
209
Linear Approx.
I know how to do "normal" linear approx...but I don't know how to diff this equation. F(x)= 2^x^2 and approx f(.9) Thank you!
by the chain rule: (or you could notice that $2^{x^2} = e^{x^2 \ln 2}$)
$\f... | 5 | [
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... | 34,925 | 34925 | |
i cant find the basic lim inf=lim sup convergence proof
i look every where for that basic proof that if lim inf An=lim sup An then the sequence converges ??
Let $S$ be the set of all subsequential limits of $\left\{a_n\right\}$. Also let $\inf S=\sup S=\xi$. So it is clear that if $x\in S$ then $\xi\leqslant x \leqsl... | 4 | [
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search results
Expand all Collapse all Results 1 - 3 of 3
1. CJM 2012 (vol 66 pp. 102)
Continuity of convolution of test functions on Lie groups
For a Lie group $G$, we show that the map $C^\infty_c(G)\times C^\infty_c(G)\to C^\infty_c(G)$, $(\gamma,\eta)\mapsto \gamma*\eta$ taking a pair of test functions t... | 4 | [
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0.0390625,
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0.011596679687... | 34,927 | 34927 | |
[SOLVED] Limits
January 31st 2009, 11:49 PM
>_<SHY_GUY>_<
[SOLVED] Limits
this part of finding the limit [in this form] ALWAYS confuses me, i really can get it [maybe the (h) throws me off]
the limit of [f(x+h)-f(x)] / h
1. f(x) = 3x-1
How does 3x-1 substitute in when there is an "h", it is confusi... | 4 | [
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Proof by induction
March 4th 2008, 10:13 PM #1
Super Member
Joined
Feb 2008
Posts
535
Proof by induction
Can anyone help me get started with this proof using induction? Thank a lot everyone.
Prove that the product of any three consecutive positive integers is divisible by 6.
Base case $1 \t... | 4 | [
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0.05078125,
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0.080... | 34,929 | 34929 | |
An Improved Model for Headway-Based Bus Service Unreliability Prevention with Vehicle Load Capacity Constraint at Bus Stops
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 313518, 13 pages
http://dx.doi.org/10.1155/2012/313518
Research Article
An Improved Model for Headway-Based Bus Service Unr... | 4 | [
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0.10107421875,
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IDL Program
"My IDL Program Speed Improved by a Factor of 8100!!!"
"I'm just your average astrophysicist," says Bruno Schmidt, of Northern Florida State University, "I don't know good programming from shinola. But in one day I took an IDL program that took three
days to run (and nearly cost me my girfriend when the s... | 4 | [
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... | 34,931 | 34931 | |
quantum harmonic oscillator
Contents
Idea
“Harmonic oscillator” is a fancy name for a rock on a spring:
• in classical mechanics it is the physical system given by a point mass in a parabolic potential, feeling forces driving it back to a specified origin that are propertional to the distance of the
mass from ... | 4 | [
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0... | 34,932 | 34932 | |
Encyclopedia of Environmetrics
Standard Article
You have free access to this content
Chemical Mass Balance
Chemometrics
1. Philip K. Hopke
Published Online: 15 SEP 2006
DOI: 10.1002/9780470057339.vac017
Book Title
Encyclopedia of Environmetrics
Additional Information
How to Cite
Hopke, P. K. 2006. Chemical ... | 4 | [
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Multivariate Normal
May 31st 2009, 05:08 PM #1
Junior Member
Joined
Feb 2009
Posts
42
Multivariate Normal
I have a couple questions (maybe all related) and I think they are because my matrix math is weak / rusty, weak and rusty
1) Why is Z = (Covariance Matrix)^(-1/2) * (X_vector - mu_vector) N_p (0... | 5 | [
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0.008789... | 34,934 | 34934 | |
Is Root(2) For You? A Sample Problem:
Here’s a simple Data Sufficiency problem I made up that will show you how Root(2) can help you do better on the GMAT. This is the type of question you will need to get right in order to do well on
this exam:
I went to the store and bought only pens and pencils. The store sold o... | 4 | [
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-0.01782226562... | 34,935 | 34935 | |
How To Do Trigonometry For This...?
January 10th 2009, 05:31 PM #1
Member
Joined
Apr 2008
Posts
123
How To Do Trigonometry For This...?
I know how to do cos(5pi/6) and any question like it.
But I don't know how to do sin, cos, tan, csc, cot, sec, of angles like 0 (0pi/12), 90 (3pi/12), 180 (6pi/12),... | 4 | [
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0... | 34,936 | 34936 | |
[SOLVED] problem solving in differential equations
February 18th 2009, 05:54 PM #1
Newbie
Joined
Dec 2008
Posts
23
[SOLVED] problem solving in differential equations
This one has been bugging me. I cant seem to figure it out. can anyone help..??
A tumor may be regarded as a population of multiplyi... | 5 | [
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-... | 34,937 | 34937 | |
Discrete!!!! Please Help
Prove that if n is a positve even integer, then n^2 = 0(mod 8) or n^2= 4(mod 8).
Hello, jas05s! Prove that if $n$ is a positve even integer, then: . $n^2 \equiv 0\text{ (mod 8) }\text{ or }\;n^2 \equiv 4\text{ (mod 8)}$ Since $n$ is an even integer, $n \;=\;4k\text{ or }4k+2$ . .
( $n$ is a mu... | 4 | [
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questions on functions
August 7th 2011, 12:54 AM
wintersoltice
questions on functions
Given that
f(x)= $\frac{5-x}{1-x}$
(a) Explain why f has an inverse and show that $f^{-1}=f$.
(b) Evaluate $f^{51}(4)$.
i can do part a,
but have no idea how to start for part b. (Speechless)
any help ... | 5 | [
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Treatise On Analysis Vol-Ii
18 CANONICAL DECOMPOSITIONS OF A MEASURE 205
mapping U is said to be of type (p, q) if U(E) c LJ(Y, v) and if U is continuous in the
topology induced on E by that of L£(X, /x), U being considered as a mapping of E
into L£(Y, v). Let \\U\\ptq denote the norm of this linear mapping. I... | 4 | [
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... | 34,940 | 34940 | |
A mean that doesn't exist
April 17th 2010, 10:54 PM #1
Member
Joined
Jan 2010
Posts
133
A mean that doesn't exist
Hello everyone, I've came across this problem and I need to see if my approach is right...
An urn initially contains one Black and one White ball. At each stage, a ball is randomly chose... | 5 | [
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Evaluating this integral
July 28th 2013, 05:48 PM #1
Junior Member
Joined
Nov 2010
From
Colorado
Posts
42
Thanks
2
Evaluating this integral
${\int^\infty_1} \frac{lnx}{x^2}dx$
I am not sure where to start. I tried u substitution, but it didn't seem to get me anywhere. This is to evaluate an ... | 5 | [
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Equilateral Triange inside a circle
February 15th 2010, 11:47 PM #1
Newbie
Joined
Feb 2010
Posts
2
Equilateral Triange inside a circle
Hello all,
I'm hoping someone can help with this one, I'm not sure why I'm not seeing it
Question:
An equilateral triangle where each side's length equals x... | 4 | [
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Find the slope-intercept form of the line passing through the point (7, -2) and paral
Find the slope-intercept form of the line passing through the point (7, -2) and parallel to the line y=-8x-4?
$y-y_{1}=m(x-x_{1})$ is the point-slope form of a line. I mention this one first because we are given a point on a line an... | 4 | [
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... | 34,944 | 34944 | |
Please critique possible proof of Fermat's Last Theorem
October 30th 2010, 06:59 AM
nondescriptname
Please critique possible proof of Fermat's Last Theorem
Hello,
I'm posting this on behalf of someone else. They don't want to post it themselves for the obvious reason that this subject attracts a lot of cran... | 4 | [
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0.031... | 34,945 | 34945 | |
Laplace / Initial Value system
May 23rd 2009, 01:13 AM #1
Newbie
Joined
Apr 2009
Posts
11
Laplace / Initial Value system
Q = solve initial value system using laplace
x’ + y’ + x – y = 0, x’ + 2y’ + x = 1
x(0) = y(0) = 0
any guidance would be great.
Let LT[y(t)] = Y(s) and LT[x(t)] = X(... | 4 | [
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-0.0185546875,
-0.068... | 34,946 | 34946 | |
Is my logic for this proof okay?
February 2nd 2010, 08:31 PM
swtdelicaterose
Is my logic for this proof okay?
$<br /> \forall q \in \textbf{Q}, \exists r \in\textbf{Q}$ so that $q + r otin \textbf{Z}$ and $qr \in \textbf{Z} <br />$
(where Q is set of all rationals, and Z is set of all integers)
So my ap... | 4 | [
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0.035888671875,
0.0027160... | 34,947 | 34947 | |
Derivative of an infinite series of functions
November 6th 2011, 09:02 AM #1
Newbie
Joined
Jan 2011
Posts
7
Derivative of an infinite series of functions
Let $f(z)=\sum^\infty_{n=1}\frac{(-1)^{n-1}z^n}{n}$, $-1<z<1$. Prove that $f'(z)=\sum^\infty_{n=1}(-1)^{n-1}z^{n-1}$ on (-1,1).
I know that I need... | 4 | [
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0.10400390625,
-0.1279296875,
... | 34,948 | 34948 | |
west chester university
Posted by kayla on Saturday, February 9, 2013 at 7:13pm.
A ball is thrown vertically upward, which is the positive direction. A little later it returns to its point of release. The ball is in the air for a total time of 8.26 s. What is its initial
velocity? Neglect air resistance.
• west che... | 4 | [
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0.0093994140625,
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0.054443359375,
0.07373046875,
-0.0644531... | 34,949 | 34949 | |
Ring isomorphism
November 16th 2008, 04:25 AM #1
Junior Member
Joined
Nov 2008
Posts
50
Ring isomorphism
Hello I want to solve the following problem:
Let R = Z( $sqrt2$ ) = { a+b $sqrt2$|a,b belong to Z.
1. Prove that R is integral domain.
2. If I = ( $sqrt 2$) is the ideal generated by $s... | 5 | [
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0.013671875... | 34,950 | 34950 | |
Nonlocal Means-Based Denoising for Medical Images
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 438617, 7 pages
http://dx.doi.org/10.1155/2012/438617
Research Article
Nonlocal Means-Based Denoising for Medical Images
^1College of Computing & Communication Engineering, Graduate Uni... | 4 | [
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-0... | 34,951 | 34951 | |
Lottery, matching 5 out of 6 numbers correctly.
August 27th 2009, 07:46 AM #1
Newbie
Joined
Sep 2008
Posts
9
Lottery, matching 5 out of 6 numbers correctly.
Sorry for asking another lottery question, I did a search and there seem to have been a lot, but none answer my question.
I'm trying to work ou... | 5 | [
0.007232666015625,
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0.01214599609375,
0.0311279296875,
-0.022216796875,
-... | 34,952 | 34952 | |
Normal Subgroups
November 18th 2009, 10:03 AM #1
Normal Subgroups
Let H and K be normal subgroups of G such that H∩K = {e} and HK = G.
Prove that G ∼= H × K
First show that if $h_1\,,\,h_2\in H\,,\,\,k_1\,,\,k_2\in K\,,\,\,then\,\,h_1k_1=h_2k_2\Longleftrightarrow h_1=h_2\,,\,k_1=k_2$ , next define $... | 4 | [
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-0.05224609375,
0.007659912109375,
0.06201171875,
-0.0272216796875,
0.0578... | 34,953 | 34953 | |
Present Value of Cash Streams-Rent Payment-Rate of Return
December 27th 2010, 05:54 PM #1
Newbie
Joined
Dec 2010
Posts
5
Present Value of Cash Streams-Rent Payment-Rate of Return
Hi, here is the scenario we have regarding our rent we pay for our business office.
Normally, rent is $2,300/month, paid ... | 5 | [
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How to find out the sum involving floor function
up vote 0 down vote favorite
I came up with an equation while solving a question. The question is - suppose we have n numbers, from 1 up to n. How many groups of 3 numbers (repetition allowed) can be formed whose sum will be n.
The equation I came up with is something ... | 5 | [
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0.0084... | 34,955 | 34955 | |
Solve the following ODE .. #9
February 12th 2011, 04:58 AM #1
Member
Joined
Sep 2010
Posts
98
Solve the following ODE .. #9
Hello
I've this equation using inspection :
$\displaystyle \dfrac{dy}{dx} = 1 + e^{y+e^x}$
ok
I couldn't solve it using any method !!
how in earth can i solv... | 5 | [
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Permutations.
February 10th 2009, 09:24 PM
woollybull
Permutations.
9 cards are selected with replacement from a standard pack of 52 cards with 12 picture, 20 odd and 20 even cards.
a)How many different sequences of 9 cards are possible?
b)How many of the sequences in part (a) will contain 4 picture car... | 4 | [
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0.0224609375,
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-0.... | 34,957 | 34957 | |
Mathematical Paintings of Crockett Johnson
Mathematical Paintings of Crockett Johnson
Resources
Selected Works of David Crockett Johnson
Barnaby, New York, NY: Henry Holt and Company, 1943.
Barnaby and Mr. O’Malley, New York: Henry Holt and Company, 1944.
Harold and the Purple Crayon, New York: Harper 7 Row, 195... | 4 | [
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0.061767578125,... | 34,958 | 34958 | |
Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation
The Scientific World Journal
Volume 2013 (2013), Article ID 210846, 10 pages
http://dx.doi.org/10.1155/2013/210846
Research Article
Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation
... | 5 | [
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-0.0... | 34,959 | 34959 | |
Rhombus Coordinate Geometry
January 17th 2011, 09:32 PM
jacs
Rhombus Coordinate Geometry
Find the coordinates of C and D, such that ABCD is a rhombus. (see attached diagram)
I went ahead with simultaneous derived from distance formulas and perpendiular gradients and then solved that with Pythagoras theorem ... | 4 | [
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0.050048828125,
... | 34,960 | 34960 | |
fun circle challenge problem
March 31st 2013, 11:55 AM #1
Newbie
Joined
Feb 2013
From
NM
Posts
17
fun circle challenge problem
found this problem today and I've been struggling to wrap my head around it. I find it really interesting and if someone would like to give their two cents, I invite you to d... | 4 | [
-0.0135498046875,
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-0.0279541015625,
0.... | 34,961 | 34961 | |
Homework Help
Posted by Morie on Friday, December 10, 2010 at 5:18am.
HELP Not great in these
Express y=2x^2 -12x +23 in the form
y=2(x-c)^2 + d
The graph of y=x^2 is transformed into the graph of y=2x^2 - 12x +23 by the transformation
a vertical stretch with scale factor k followed by,
A horizontal translation o... | 4 | [
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-0.002... | 34,962 | 34962 | |
MGF Problem
May 19th 2008, 12:44 PM #1
Newbie
Joined
May 2008
Posts
8
MGF Problem
Hi
Can someone help with the pointing me in right direction with the following
"Use the MGF to compute the mean and variance of the distribution of x which has the following probability distribution
f(x) = x+... | 5 | [
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0... | 34,963 | 34963 | |
math- word problems
Posted by kayla on Wednesday, September 24, 2008 at 4:55pm.
I tried doing this problem but i just dont get it:
A boy has 16 coins consisting of nickles, dimes, and quarters. The number of nickles is 3 less than the number of dimes and the value of the quarters is 55 cents greater than the value of... | 4 | [
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0.0076904... | 34,964 | 34964 | |
[SOLVED] Finding determinant of 4x4 matrix
March 3rd 2010, 05:01 PM #1
Member
Joined
Oct 2009
Posts
175
[SOLVED] Finding determinant of 4x4 matrix
So I have the matrix
1 0 1 0
0 1 0 1
-2 1 1 0
0 0 1 1
I chose row 3 column 2 and will take it's minor. The minor is
1 1 0
0 0 1... | 5 | [
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0.000640869140625,
-0.03002929687... | 34,965 | 34965 | |
The Old techInterview Forum - Pick a number...
Pick a number...
Two people pick a number (1,2,3... no upper limit) secretly.
Lowest number wins $1 EXCEPT when the Highest number = Lowest Number + 1 in which case Lowest number LOSES $2. Nothing happens in case of tie. Game gets played repeatedly over a long time.
Deve... | 5 | [
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-... | 34,966 | 34966 | |
Electrostatic Force
January 16th 2009, 05:03 PM #1
Electrostatic Force
I know I typed this question before... But the answers on there turn out not to be the method I'm looking for. So I'm going to post what I have so far and maybe someone can help me out with
second part of this:
The question is:
F... | 5 | [
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... | 34,967 | 34967 | |
Latin American Journal of Solids and Structures
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versão On-line ISSN 1679-7825
Lat. Am. j. solids struct. vol.9 no.1 Rio de Janeiro 2012
http://dx.doi.org/10.1590/S1679-78252012000100003
... | 4 | [
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0.... | 34,968 | 34968 | |
Another proof
July 5th 2006, 04:04 PM
Nichelle14
Another proof
I have to Prove (a+b)^2 + (b+c)^2 + (c+a)^2 >= 4(ab + bc + ac)
I multiplied out both sides and then move everything to the left, but I don't know what I should do after that.
July 5th 2006, 06:32 PM
malaygoel
Quote:
Originally Poste... | 4 | [
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0.061279296875,
-0.0194091796875,
0.0712890625... | 34,969 | 34969 | |
find a power series representation of f(x)
December 5th 2012, 12:09 PM #1
Member
Joined
Oct 2009
From
Detroit
Posts
157
Thanks
5
find a power series representation of f(x)
i am to use $\frac{1}{1-x}=\sum{x^n}=1+x+x^2+...$ provided $|x|<1$ to find a power series representation for $f(x)=\frac{x^3}... | 5 | [
0.036376953125,
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0.043212890625,
0.11181640625,
-0.059326171... | 34,970 | 34970 | |
Circle equation, centre and radius
March 20th 2009, 10:27 AM #1
Newbie
Joined
Mar 2009
Posts
1
Circle equation, centre and radius
Hi! I am new here and need some help. I am doing a maths course at home through Open Uni and I have got stuck.
The equation
x^2 + 10x + y^2 - 6y + 9 = 0
represe... | 4 | [
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0.0... | 34,971 | 34971 | |
Homework Help
Posted by jennifer on Thursday, September 25, 2008 at 9:56am.
I have 12 word problems to do for my class today.
I am not very good at them.
Any suggestions on how to set them up?
they vary from question to question
• MATH - drwls, Thursday, September 25, 2008 at 11:40am
Turn the word problems ... | 4 | [
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-0.09... | 34,972 | 34972 | |
Euclids Algorithm and Multiple Inverses
May 11th 2012, 09:14 AM #1
Member
Joined
May 2009
Posts
109
Euclids Algorithm and Multiple Inverses
$r_{m-2} = q_{m} r_{m-1} + r_{m} \hspace{50} 0 < r_{m} < r_{m-1} \\* r_{m-1} = q_{m+1} r_{m} + 0$
(ignore the indentation on the first line)
"The final equ... | 4 | [
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0.0454101562... | 34,973 | 34973 | |
Computational & Applied Mathematics
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versão On-line ISSN 1807-0302
Comput. Appl. Math. vol.30 no.1 São Carlos 2011
http://dx.doi.org/10.1590/S1807-03022011000100011
Two derivative-free methods for solving underdetermined nonlinear syste... | 4 | [
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0.07080078125,
-0.1123046875,
-0.040039... | 34,974 | 34974 | |
factor to solve the equation
March 20th 2011, 06:58 AM
tonie
factor to solve the equation
r^2 + 6r + -8 = 0
-8 -8
= r^2 + 6r = -8 + 9
(r+3)^2 = 1
I am stuck and the book has my answers to be -2 and -4
March 20th 2011, 07:10 AM
skeeter
Quote:
I have no idea what method you are using t... | 4 | [
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0.0634765625,
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... | 34,975 | 34975 | |
Simple Interest Calculation Help
November 11th 2009, 10:49 PM
Ife
Simple Interest Calculation Help
Can i get some guidance with these please?
A couple borrows $10,000 for three years and is charged 10.5% Simple Interest per year.
a. Determine their monthly payment.
b. Assuming that each month's in... | 4 | [
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-0.01422119140625,
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-0... | 34,976 | 34976 | |
Brazilian Journal of Physics
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versión impresa ISSN 0103-9733
Braz. J. Phys. vol.40 no.3 São Paulo set. 2010
http://dx.doi.org/10.1590/S0103-97332010000300014
Effect of electron inertial delay on Debye sheath formation
U. Deka^I,*; C.B. ... | 4 | [
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-0.04296875... | 34,977 | 34977 | |
Proof required for expressing ARCSIN in complex exponential function.
April 10th 2008, 10:09 AM
jalal0
Proof required for expressing ARCSIN in complex exponential function.
The question goes this way:
Given the complex inverse sine function w(z)=sin-¹(z) is defined such that z=sin(w).
Writing sin(w) in... | 5 | [
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-0.02551... | 34,978 | 34978 | |
DOE Contour Plot
1. Exploratory Data Analysis
1.3. EDA Techniques
1.3.3. Graphical Techniques: Alphabetic
1.3.3.10. Contour Plot
1.3.3.10.1. DOE Contour Plot
DOE Contour Plot: The DOE contour plot is a specialized contour plot used in the analysis of full and fractional experimental designs. These designs often h... | 4 | [
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-0.0... | 34,979 | 34979 | |
Transcriptional regulation by the numbers: models
• We are sorry, but NCBI web applications do not support your browser and may not function properly.
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•
Curr Opin Genet Dev. Author manuscript; available in PMC Oct 27, 2012.
Published in final edited form as:
PMCID: PMC3482385
NIHMSID: NIH... | 4 | [
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Negative and rational powers
July 24th 2009, 04:24 PM
Mr Rayon
Negative and rational powers
Simplify the following, expressing your answer with positive index numbers
$<br /> \frac{(-2)^{-3}\times2^{-4}}{2^{-3}}<br /> <br />$
Please show complete working out. Any help will be appreciated!
July 24th 20... | 4 | [
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Explanations Of These Laplace Transforms and Properties
February 12th 2011, 05:23 PM
IHuntMath
Explanations Of These Laplace Transforms and Properties
Hello, all.
I was on this site previously, but, forgot my username and etc. I would like to say the website looks like it had a great improvement to it, so g... | 5 | [
-0.1279296875,
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0.03125,
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0.0625,
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0.045166... | 34,982 | 34982 | |
Spanning sets, linear independence and bases
May 8th 2010, 02:03 AM #1
Newbie
Joined
Oct 2009
Posts
22
Spanning sets, linear independence and bases
PROBLEM
Let B = {1,−1 + x,1 + x^2}
(a) Show that B is a basis for P2.
(b) Find the coordinates for p(x) = a + bx + cx^2 with respect to the basis... | 5 | [
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-0.... | 34,983 | 34983 | |
Homework Help
Posted by joe on Wednesday, January 11, 2012 at 9:54am.
The graphs y=2x+1 and 2y+x=2 contain 2 sides of a rectangle.if 1 vertex of the rectangle has coordinates (6,3), draw the rectangle.
• geometry - Reiny, Wednesday, January 11, 2012 at 10:05am
y = 2x + 1
and
2y + x = 2
2y = -x + 2
... | 4 | [
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Ring Isomorphism
September 8th 2011, 04:42 AM
Bernhard
Ring Isomorphism
Can anyone help with the following problem:
Prove that the rings $2\mathbb{Z}$ and $3\mathbb{Z}$ are not isomorphic?
Be grateful for help
Peter
September 8th 2011, 04:48 AM
HallsofIvy
Re: Ring Isomorphism
How many memb... | 5 | [
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Express vectors in different coordinate systems
May 20th 2011, 05:51 AM #1
Junior Member
Joined
Sep 2007
Posts
56
Express vectors in different coordinate systems
I don't understand this problem. This is supposedly a review question from calc 3, but I've never seen anything like this before. Fortunately, ... | 5 | [
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-... | 34,986 | 34986 | |
Having Trouble
April 15th 2009, 05:05 PM #1
Having Trouble
Hi all,
I am just new to this site and it looks like such an awesome resource.
Can anyone help me with this???
If x + y = 1 and x³ + y³ = 19, find the value of x² + y²
Last edited by Jameson; April 15th 2009 at 05:31 PM.
$\left\... | 4 | [
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0.078125,
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-0.11767578125,
0.0063781738... | 34,987 | 34987 | |
Nilradical problem
November 9th 2008, 03:27 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Nilradical problem
Suppose that R is a commutative ring, and let I be an ideal of R. Let $\sqrt I = \{ x \in R : x^n \in I \ , \ n \geq 1 \}$, prove that $\frac { \sqrt {I} }{I}}$ is the nilradical of $\... | 4 | [
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0.041015625,
... | 34,988 | 34988 | |
MATH problem help had typo
Posted by sam on Wednesday, December 5, 2007 at 11:59pm.
The Parkhursts used 160 yd of fencing to enclose a rectangular corral to divide it into two parts by a fence parallel to one of the shorter sides. Find the dimensions of the corral if its area is
1000 yd ^2 ( yd has a small 2 above the... | 4 | [
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-0.0264892578125,
0.0317382... | 34,989 | 34989 | |
Homework Help
Posted by Tyler on Tuesday, June 25, 2013 at 5:25pm.
Find the equation of the tangent line to the curve (piriform)
y^2=x^3(4−x)
at the point (2,16−−).
a. Find dy/dx at x=2.
dy/dx=
b. Write the equation of the tangent line to the curve.
• Calculus - Steve, Tuesday, June 25, 2013 at 5:37pm
y^2... | 5 | [
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... | 34,990 | 34990 | |
Determine whether function is even or odd
May 9th 2013, 04:26 PM #1
Junior Member
Joined
Mar 2013
From
Unreals
Posts
44
Determine whether function is even or odd
Hi!
Determine whether the function is even, odd or neither.
1. $f(x) = x^3 \sin x$
The function is even since:
$f(-x) =... | 4 | [
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[SOLVED] SAT geometry
September 29th 2008, 12:04 AM #1
Member
Joined
Sep 2008
Posts
222
[SOLVED] SAT geometry
In the figure below, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8, then the perimeter of the darkened region is
a) $8+3p... | 4 | [
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... | 34,992 | 34992 | |
Word problem that I need help with
September 24th 2013, 03:33 PM #1
Senior Member
Joined
Sep 2013
From
Portland
Posts
342
Thanks
15
Word problem that I need help with
I am working with derivatives and the problem is:
The flight of a spaceship is described by the curve y = x^3 - 8x, x> 0. if ... | 4 | [
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Finding dy/dx of equation using both chain rule and product rule
November 9th 2010, 12:27 AM #1
Junior Member
Joined
Sep 2010
Posts
32
Finding dy/dx of equation using both chain rule and product rule
Hello everyone,
Recently I've been learning about the chain rule and the product rule, which by them... | 5 | [
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-0.0903320312... | 34,994 | 34994 | |
maths --plse help me..
Posted by Anonymous on Wednesday, December 19, 2012 at 1:19pm.
A man has Rs 50,000.He invests some part of it in one bank @ of 11 p.c.p.a. and the remaining money in another bank @ of 9 p.c.p.a.He gets a combined simple interest of Rs 5,400(i.e the S.I of one
bank + S.I of another bank = 5,400).... | 4 | [
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-0.041015625,... | 34,995 | 34995 | |
Math (Variation)
Posted by Shin on Tuesday, February 11, 2014 at 8:33am.
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6-inch radius costs ₱148.00, how much should a pizza with an 11-inch radius cost?
• Math (Variation) - Reiny, Tuesday, February 11, 2014 at 10:14am
cost = ... | 4 | [
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-0.1... | 34,996 | 34996 | |
Dice Theoretical Probability
October 15th 2010, 09:35 PM #1
Newbie
Joined
Oct 2010
Posts
1
Hi,
How can I calculate the theoretical probability of the number of times I would have to roll a 6 sided dice until I got at least 1 of every number?
I can't figure this out!
Thanks!
You can't.
... | 5 | [
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0.00297546386718... | 34,997 | 34997 | |
Extrapolation
April 9th 2013, 09:58 AM #1
Newbie
Joined
Apr 2013
From
the internet
Posts
2
Extrapolation
Hello,
Lets say i'm measuring the probability of something happening at different stages.
For x = 1 I know the probability +- 0% (exact)
For x = 2 x = 3 and x = 4 I know the probabil... | 5 | [
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-0.01507568359375,
-0.0498046... | 34,998 | 34998 | |
Homework Help
Posted by Tara on Tuesday, January 11, 2011 at 7:50pm.
Original Question:
A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original block sags by 5.00 cm. What is the oscillation frequency of the two block system?
bobpursley s'ltn:
F=kx = mg
x=mg/k
but... | 4 | [
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