content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Dividing three fractions
April 21st 2008, 02:06 AM #1
Dividing three fractions
I have three fractions, and I need to divide them, but
The first one is supposed to give me n, but I get it to give me 2n, so I gave up.
I think the second one is supposed to give me 2n, and the third supposed to give me n/2, ... | 5 | [
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0.09033203125,
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0.... | 31,800 | 31800 | |
Math Help
December 14th 2008, 12:54 PM #1
format
Lets say i have a question, for example, $\int_0^5 (x^2-9)^2\;dx$
Now if i wanted to show my entire work for this question, i would start off like this:
$\int_0^5 (x^2-9)^2\;dx=\int_0^5 x^4-18x^2+81\;dx$
Now lets assume i want to show every single s... | 5 | [
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... | 31,801 | 31801 | |
prove the sum of two squares of odd integers.
August 2nd 2012, 04:36 AM #1
prove the sum of two squares of odd integers.
can anybody please guide me on this
Prove: the sum of the squares of two odd integers cannot be a perfect square, i.e. if x and y are both odd, then there is no perfect square z^2 such th... | 5 | [
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0.0083... | 31,802 | 31802 | |
Power Problem
December 15th 2008, 07:27 PM
Myrc
Power Problem
Hey guys, I was just wondering if any of you have any thoughts on this problem. I've exhausted all mine
Let's say we have 2 functions: f and g with $f(x)=3^x$ and $g(x)=100^x$.
Then define two sequences:
1) $a_1$ = 3 and $a_{n+1}$ = $f(a... | 5 | [
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... | 31,803 | 31803 | |
Posts about scoring model on Code and Football
February 1, 2014
On the eve of the Super Bowl: What is the Peyton Manning contribution to Denver’s offense?
Posted by foodnearsnellville under Data, Denver Broncos, Seattle Seahawks, Statistics, Super Bowl | Tags: adjusted yards per attempt, Peyton Manning, scoring model... | 4 | [
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Analytical Solution of Nonlinear Boundary Value Problem for Fin Efficiency of Convective Straight Fins with Temperature-Dependent Thermal Conductivity
ISRN Thermodynamics
Volume 2013 (2013), Article ID 282481, 8 pages
http://dx.doi.org/10.1155/2013/282481
Research Article
Analytical Solution of Nonlinear Boundary Val... | 5 | [
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Homework Help
Posted by Andrea on Thursday, October 4, 2012 at 12:50pm.
Can you make sure my Algebra II work is correct? I've done the problems. I just want to make sure I am right.
1. Write an equation of the line with a slope of 5 and a y-intercept of -3.
y=5x-3
2. Write the equation of a line that passes through... | 4 | [
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Most Invested At 9 Percent
October 5th 2010, 06:12 AM #1
Junior Member
Joined
Oct 2010
From
New York City
Posts
54
Most Invested At 9 Percent
You are going to invest $30,000, part at 9% and part at 14%. What is the most that can be invested at 9% in order to make at least $3000 in interest per year?
... | 4 | [
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Review of Calculus Without Tears
You are here: Home → Reviews → Calculus Without Tears
Review of Calculus Without Tears by William Flannery
Calculus Without Tears (or CTW) is a collection of worksheets (in 3 volumes) that teach basic concepts of calculus very step-by-step, without need of much algebra. They are inte... | 4 | [
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Gamma expansion
March 26th 2011, 09:32 AM #1
Gamma expansion
I know that:
$<br /> c(n) = \sqrt{\frac{2}{n}}\ \frac{\Gamma(\frac{n}{2})}{\Gamma(\frac{n-1}{2})} =<br /> 1 - \frac{3}{4n} + O(n^{-2})<br />$
and also that:
$<br /> \sqrt{\frac{n}{n-1}}\ c(n) = \sqrt{\frac{n}{n-1}}\ (1 - \frac{3}{4n} + O(... | 5 | [
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... | 31,809 | 31809 | |
Hyperbolic Diff helppp
Hello Find the derivative of the function $g(x)=ln(tanh(x))$ why is the answer $2csch(2x)$?
You use the chain rule. $y=\ln u$ where $u=\tanh x$ $dy/du=1/u=1/\tanh x=\mbox{coth} x$ $du/dx=\mbox{sech}^2 x$ Thus, $dy/dx=\mbox{sech}^2 x\cdot \mbox{coth}x$ Express as fractions and simiplify to
get, $... | 5 | [
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the encyclopedic entry of Radical_of_an_ideal
In
ring theory
, a branch of
mathematics
, the
radical of an ideal
is a kind of completion of the
ideal
. There are several special radicals associated with the entire ring - such as the
nilradical
and the
Jacobson radical
, which isolate certain "bad" propertie... | 5 | [
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We keep breaking records ? so what ?… Get statistical perspective….
August 17, 2011
By arthur charpentier
This summer, we have been told that some financial series broke some records (here, in French)
For instance, the French CAC40 had negative return for 11 consecutive days (which has never been seen, so far).
> ... | 4 | [
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A Novel Anonymous Proxy Signature Scheme
Advances in Multimedia
Volume 2012 (2012), Article ID 427961, 10 pages
http://dx.doi.org/10.1155/2012/427961
Research Article
A Novel Anonymous Proxy Signature Scheme
Department of Information Management, Nanhua University, Chiayi 622, Taiwan
Received 30 April 2012; Accepted... | 4 | [
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may be of number theory...
A set S contains elements{2^1,2^2,2^3,....,2^9,2^10}.A number 'm' is obtained by adding all possible positive differences of elements of set S.What is the sum of the digits of S ?
Hi, I assume you want the sum of the (decimal) digits of m. The problem is small enough that I suppose you could... | 4 | [
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Global Extremas
December 4th 2007, 12:45 PM #1
Newbie
Joined
Dec 2007
Posts
3
Global Extremas
Find the global extrema of the function $f(x,y) = sin(xy)$ on the closed region given by $0 \leq\ x \leq \pi$ and $0 \leq\ y \leq 1$. Be sure to clearly indicate the maximum and minimum vlues and
where they ... | 4 | [
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Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite Media
International Journal of Engineering Mathematics
Volume 2013 (2013), Article ID 785609, 8 pages
http://dx.doi.org/10.1155/2013/785609
Research Article
Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite... | 5 | [
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Reimann Integrable
November 23rd 2009, 04:52 PM #1
Reimann Integrable
Determine whether the function f: [0,1] $\rightarrow$ R given by:
f(x):=
3 if $x \in Q \cap [0,1]$
1 if $x \in (R$ \ $Q) \cap [0,1]$
is Riemann integrable on [0,1].
I know that if it is Riemann integrable, sup L(P, f) = i... | 4 | [
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Spatial Competition with Entry Deterrence considering Horizontal Product Differentiations
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 426345, 6 pages
http://dx.doi.org/10.1155/2013/426345
Research Article
Spatial Competition with Entry Deterrence considering Horizontal Product Differentiations
Depa... | 4 | [
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Homework Help
Posted by Angel on Thursday, April 5, 2012 at 4:52am.
(1-7) write each function in vertex form (8-10) write each funtion in standard form?
1) Y=x^2+3x-10
2) Y=x^2-9x
3) Y=X^2+x
4) Y=x^2+5x+4
5) Y=4x^2+8x-3
6) Y=(3/4)x^2+9x
7) Y=-2x^2+2x+1
8) Y=(x-3)^2+1
9) Y=2(x-1)^2-3
10)Y=-3(x+4)^2+1
• Alg... | 4 | [
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quadratic equation problem no.3
You have been given k is an >positive< integer right?? So use it Notice that a and b are rationals and roots of x^2 + 3x + k = 0. And if k>=3 then 9 - 4k < 0 and hence $\sqrt {9-4k}$ does not exist.
This means You have to check only for k=1 and k=2, Notice that $k=1 \Rightarrow \sqrt {9-... | 4 | [
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0... | 31,820 | 31820 | |
Derivative questions?
September 28th 2010, 10:24 PM #1
Junior Member
Joined
Sep 2010
Posts
48
Derivative questions?
I'm really not understanding. I thought 4/3 and pi were constants. So I figured the answer was 2ra+r^2
But that is wrong.
Why?
Last edited by melliep; September 28th 2010 at 11... | 4 | [
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Inverse Trig Function Question
December 7th 2007, 04:28 PM #1
Junior Member
Joined
Dec 2007
Posts
32
Inverse Trig Function Question
I've been trying to figure this out, but I have yet to find an answer.
The question is:
Determine the value of csc(arctan (-5/3)).
Does anyone have any sugges... | 4 | [
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Homework Help
Posted by - on Monday, November 16, 2009 at 7:54pm.
The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation:
h= 10 sin ((pi/15 t) - 7.5) + 12
where t is the time, in seconds.
At t=0, the rider is at the lowest point. Determine the first two times that th... | 4 | [
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On the Strong Convergence of an Algorithm about Firmly Pseudo-Demicontractive Mappings for the Split Common Fixed-Point Problem
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 256930, 9 pages
http://dx.doi.org/10.1155/2012/256930
Research Article
On the Strong Convergence of an Algorithm about Firmly Ps... | 5 | [
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... | 31,824 | 31824 | |
absolute values and quad. formulae
How about you solve for x from the original quadratic? $x = \frac{(m+3) \pm \sqrt{(m+3)^2 - 4(2-m)}}{2}$ Therefore, $a = \frac{(m+3) + \sqrt{(m+3)^2 - 4(2-m)}}{2}$ and $b = \frac{(m+3) - \sqrt{(m+3)^
2 - 4(2-m)}}{2}$, since we let $a > b$ $|a|=|b+1|$ $\frac{(m+3) + \sqrt{(m+3)^2 - 4(2... | 4 | [
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0.119140625,
-0.019531... | 31,825 | 31825 | |
square incribed in cricle
February 5th 2009, 08:00 AM #1
Newbie
Joined
Feb 2009
Posts
6
square inscribed in circle
I have a problem here that I haven't been able to solve.
You're given a circle with radius r and a square is inscribed on it.
The center of the circle is at the origin and the edges ... | 4 | [
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-0.03564453125,
-0.035400... | 31,826 | 31826 | |
Math Help
prove that: $lim_{(x,y)\to (1,1)}\frac{2+x}{y} = 3$ Again i know the definition but i have no idea how to get δ
We use the definition "with $\epsilon$ and $\delta$" to obtain the rules about limits and sum or product. In cases like that, you can use these results instead of the " $\epsilon$".
Are you requi... | 5 | [
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0.03... | 31,827 | 31827 | |
Homework Help
Posted by Manny on Wednesday, December 9, 2009 at 3:54am.
Find the point on the line 6x + y = 9 that is closest to the point (-3,1).
Solution: We need to minimize the function
d = sqrt((x − (−3))^2 + (y − 1)^2)
= sqrt((x + 3)^2 + (y − 1) ^2 )
and, since the point (x, y) lies on the line 6x + y = 9, w... | 4 | [
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Rate of change problem
January 13th 2009, 07:46 PM #1
Member
Joined
Oct 2008
Posts
96
Rate of change problem
The voltage, V , in volts, is an electrical outlet given as a function of time, t, in seconds, by the function V = 156cos(120[pie]t)
a.) Give an expression for the rate of change of the volta... | 5 | [
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Markov chain
May 23rd 2010, 05:33 AM #1
Markov chain
Hi guys !
I'm pretty desperate : it's a simple question, but I don't manage to write the solution properly...
We have (a Galton-Watson process) $Z_0=a$ and $Z_n=\sum_{i=1}^{Z_{n-1}} X_{i,n}$, where the sequence $(X_{i,n})_{i,n}$ is an iid sequence.
... | 4 | [
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Mixture problem
February 4th 2009, 01:06 PM #1
Member
Joined
Feb 2008
Posts
125
Mixture problem
A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the perfectly mixed solution leaves the tank at 3 gal/min; thus the
tank is em... | 4 | [
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find the principal unit normal vector to the curve
June 14th 2012, 04:27 PM
icelated
find the principal unit normal vector to the curve
find the principal unit normal vector to the curve at the specific value of the parameter.
$r(t) = ti + \frac {1}{2}t^2j, t = 2$
i need to use this formula
$T(t) ... | 5 | [
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International Journal of Morphology
Servicios Personalizados
Articulo
Indicadores
Links relacionados
versión On-line ISSN 0717-9502
Int. J. Morphol. v.27 n.4 Temuco dic. 2009
http://dx.doi.org/10.4067/S0717-95022009000400016
Int. J. Morphol.,27(4):1051-1058, 2009.
A New Statistical Method for Comparative Anato... | 5 | [
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Application of Bifurcation Method to the Generalized Zakharov Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 308326, 8 pages
http://dx.doi.org/10.1155/2012/308326
Research Article
Application of Bifurcation Method to the Generalized Zakharov Equations
Department of Mathematics, Yuxi Normal Un... | 5 | [
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Maths Factorising- please help right now.
Posted by OHara on Thursday, June 6, 2013 at 3:04pm.
Factorise (x - 1)^2 - 4y^2
• Maths Factorising- please help right now. - Kuai, Thursday, June 6, 2013 at 3:18pm
(X-1)(x-1)-4y^2
x^ 2 -x -x +1 -4y^2
x^2 -2x + 1 -4y^2
(x -2y-1)(x +2y -1)
• Maths Fact... | 4 | [
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th
Orthogonal Circles
Angle of intersection of two circles
An angle between the two tangents to the two circles at a point of intersection is called an angle of intersection between two circles.
Orthogonal circles
Two circles ... | 4 | [
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Complex Numbers raised to the power?
February 12th 2013, 03:48 PM #1
Newbie
Joined
Feb 2013
From
islamabad
Posts
23
Complex Numbers raised to the power?
If v = z(1)^6* z(2)^−4
determine |v| and angle(v). Also, obtain v in cartesian form.
where z1= 3 +i
z2 = -5 + 5i
I don't know how ... | 5 | [
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Easy-ish compound discount/interest conversions....
June 10th 2012, 12:37 PM
Outsanity
Easy-ish compound discount/interest conversions....
An account is governed by compound interest. The discount for three years on $2120 is $250. Find the amount of interest for two years on $380.
I guess my first question ... | 4 | [
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Trig equation help!!
Hi guys here is my question cos3x= sinx for the domain--- 0</ x </ Pi/2 any help would be appreciated
Last edited by Gurp925; October 25th 2013 at 10:47 PM.
Transform the equation like this.... sin(90-3x)=sinx then the rest is easy.............
No it's not still easy, as you have to take into ac... | 4 | [
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Areas in the Plane (Calculus)
February 4th 2007, 05:05 PM #1
Junior Member
Joined
Oct 2006
Posts
36
Areas in the Plane (Calculus)
Can someone help me with these problems and explain each step. Any help is appreciated.
Find the area of the regions enclosed by the lines and curves.
x = (tany)^2 ... | 5 | [
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Prove 5^(2n+1)+11^(2n+1)+17^(2n+1) is divisible by 33.
September 26th 2013, 08:34 PM
startanewww
Prove 5^(2n+1)+11^(2n+1)+17^(2n+1) is divisible by 33.
Prove 5^(2n+1)+11^(2n+1)+17^(2n+1) is divisible by 33.
I wonder if there are other ways that can prove this.
My way of proving this:
Let P(n) be "5^... | 4 | [
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... | 31,841 | 31841 | |
Math Help
Find the sum to n terms of the sequence 100-2^2 +108-4^2 +116-6^2+ ... All help is much appreciated. Thank you
This appears to be the subtraction of two different series: . . . . . $100\, +\, 108\, +\, 116\, +\, ...\, =\, \sum_{i=0}^{n-1}\, 100\, +\, 8i$ . . . . . $2^2\, +\, 4^2\, +\, 6^2\, +\, ...\, =\, \
... | 4 | [
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Existence of a linear transformation
March 18th 2009, 12:33 PM #1
Existence of a linear transformation
Hi,
This is a part of an exercise I got on the final exam I failed. I couldn't answer well this question : Let $V=\mathbb {R}^4$ and $W=P_3$ the space of polynomials of degree $\leq 3$.
a)Show that $V$ i... | 5 | [
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Math Help
May 5th 2006, 09:59 PM #1
Pyotr
Guest
I am completely and utterly stuck on this one problem:
I am supposed to verify this identity using only the fundamental identities. Could somebody at least lead me in the right way to start this? I have no clue where to even begin with this one
Pyotr
... | 4 | [
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0.044... | 31,844 | 31844 | |
Calculus: Derivatives + Limits
March 18th 2009, 07:27 PM #1
Newbie
Joined
Mar 2009
Posts
3
Calculus: Derivatives + Limits
Studying for a test, and have a few questions I'm confused about... Some of them are probably really easy, I just can't seem to get them right.
1. Find $\frac {dy}{dx}$ if $x^4 +... | 5 | [
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0.0... | 31,845 | 31845 | |
Limits / Series question
hi Let P = [(2^3-1)/(2^3+1)][(3^3-1)/(3^3+1)]........[(n^3-1)/(n^3+1)] n=2,3,4,...... Find Limit P when N tends to infinity.
what should i do with n^2 - n + 1 ? I was able to cancel the (n-1)/(n+1) terms. but dont know what to do with n^2 - n + 1 and n^2 + n + 1
You easily undestand if you wr... | 4 | [
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0.0201416015625,... | 31,846 | 31846 | |
Tangent to e^x through origin
April 8th 2008, 03:37 PM #1
Member
Joined
Feb 2008
Posts
97
Tangent to e^x through origin
Find the value of A such as that the tangent to y=e^x is a line through origin when x=a
This is what I've done so far,
Derivative of e^x is e^x, so the slope is e^x
(y-e^... | 4 | [
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-0.024780... | 31,847 | 31847 | |
Proof of binomial sums
November 8th 2011, 04:35 AM #1
Proof of binomial sums
Prove:
$\binom{m+n}{k} = \sum_{i=0}^{k}\binom{m}{i} \binom{n}{k-i}$
for $m, n \geq 0$ and $0 \leq k\leq m+n$.
I considered $(1+x)^m(1+x)^n$ but got stuck at manipulating double sums. Please help
Re: Proof of binomial sums
... | 5 | [
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finding tangent
May 15th 2009, 01:42 PM
slaypullingcat
finding tangent
Show that the tangent to P: y= a(x-h)^2 + k at point T, where x= alpha, is y=2a(alpha-h)x+k-a(alhpa^2-h^2).
Thank you for any help
May 15th 2009, 02:01 PM
Scott H
Hint: If
$y=a(x-h)^2+k,$
then
\begin{aligned}<br /> ... | 4 | [
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0.... | 31,849 | 31849 | |
Serious algebra problems...
January 11th 2010, 08:08 PM #1
Newbie
Joined
Jan 2010
Posts
2
Serious algebra problems...
I am having a difficult problem solving a few algebra problems. I am not new to forums, but am new to this forum. Here is what I need help with.
The first part is all raised to the 3... | 4 | [
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0.2216796875,
-0.02868652... | 31,850 | 31850 | |
integral problem
July 21st 2010, 11:21 PM #1
Junior Member
Joined
Nov 2009
Posts
63
integral problem
please help me with this integral problem:
$\int(x+(x+(x+....)^\frac{1}{2})^\frac{1}{2})^\frac {1}{2}dx=....$
substitution method
$(x+(x+(x+....)^\frac{1}{2})^\frac{1}{2})^\frac{1}{ 2}=y$
... | 5 | [
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... | 31,851 | 31851 | |
cauchy sequence
January 13th 2011, 02:23 AM #1
Member
Joined
Feb 2010
Posts
133
cauchy sequence
I am considering the sequences $(f_{n})$ of continuous functions $f_{n}:[-1,1]\to \mathbb{R}$ defined by:
$<br /> \begin{displaymath}<br /> f_{n}(x) = \left\{<br /> \begin{array}{lr}<br /> 1 & : -1\leq x ... | 5 | [
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Finding the inverse of a function
June 23rd 2011, 05:42 AM #1
Member
Joined
Apr 2011
Posts
77
Finding the inverse of a function
What is the inverse of f(x) = x/x-1 ?
this is my attempt to solve it:
y = x / x-1
y(x-1) = x
hence x(x-1) is the inverse.....
however, substituting with x=5 ... | 4 | [
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0.0020751953125,
-0.12060546875,
0.04345703125,
0.004669189453125,
0.02490234375,
0.03271484375,
0.0252685546875,
-0.0595703125,
0.004302978515625,
0.04248046875,
-0.01470947265625,
0.09716796875,
-0.0260009765625,
-... | 31,853 | 31853 | |
A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 517395, 7 pages
http://dx.doi.org/10.1155/2013/517395
Research Article
A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate
... | 4 | [
-0.1240234375,
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0.0673828125,
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0.078125,
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0.011474609375,
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-0.093... | 31,854 | 31854 | |
Help, please!
January 9th 2006, 12:14 PM #1
Billy
Guest
Help, please!
Hey, I need some help on this problem.
The trip was only 200 miles, so Bob and Rita rode at 25 mph for a while. Then they doubled their speed for the last part of the trip, so that the total time for the journey would be 5 hours. How
f... | 4 | [
0.006103515625,
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0.080078125,
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0.048583984375,
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0.05712890625,
-0.03393554687... | 31,855 | 31855 | |
Final Group Q.
January 13th 2008, 07:51 AM #1
Junior Member
Joined
Aug 2007
Posts
32
Final Group Q.
ok ive managed to solve the other 2 questions.
here is my final one:
(1)
If G is a group and $n \geq 1$, define G(n) = { x E G: ord(x) = n}
(2)
If $G \cong H$ show that, for all $n \... | 4 | [
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0.01708984375,
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-0... | 31,856 | 31856 | |
The discrete Metric- Completeness and Compactness
October 9th 2010, 11:46 PM #1
Member
Joined
Oct 2008
Posts
77
Thanks
1
The discrete Metric- Completeness and Compactness
Hello, I'm just working through this problem but I am a little shaky with some of the definitions
Let M be a set and let d be... | 5 | [
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0.034912109375,
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-0.0390625,
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0.00089263916015625,
0.109375,
-0.0314... | 31,857 | 31857 | |
Using differentials to approximate
February 15th 2009, 06:11 PM #1
Newbie
Joined
Sep 2008
Posts
13
Using differentials to approximate
I'm going to write this problem word for word because I'm not sure how else to describe it.
Q1. For y=f(x), differentials are used to approximate the change in y for ... | 5 | [
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-0.0220947265625,
0.09375,
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0.126953125,
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0.0576171875,
... | 31,858 | 31858 | |
help with modulus function
November 7th 2009, 01:54 PM
mike789
help with modulus function
I am studding modulus function at college. I don t understand this part can you explain each of these please?
І x a І =x - a for x ≥ a and I x- a I = -( x a ) = a-x for x<a
I x b I ≤ a ↔ - a ≤ x b ≤ a
І ... | 4 | [
-0.061767578125,
0.05615234375,
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0.018798828125,
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0.03662109375,
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0.0546875,
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0.023681640625,
0.016357421875,
0.06396484375,
-0.125,
-0.09130... | 31,859 | 31859 | |
polynomial division
March 9th 2010, 03:14 PM
Jones
polynomial division
Hi,
Im trying to get my head around how to do polynomial division with undetermined coefficients.
Im trying to divide $z^2-2z+2$
into $z^4-2z^3+az-8z+8$
I run into problems when trying to subtract $2z^2$ from $az^2$
he... | 4 | [
-0.111328125,
0.09033203125,
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0.107421875,
0.0233154296875,
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0.010498046875,
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0.0732421875,
0.0380859375,
-0.076171875,
0.00927734375,
-0.02099609375,
-0.019897460937... | 31,860 | 31860 | |
Math - Algebraic Vectors
Posted by Anonymous on Tuesday, February 12, 2008 at 7:27am.
Let vector u = [3, 2]
a) Determine each vector
i)
2u = 2[3, 2]
2u = [6, 4]
c) Determine the length of each vector in a.
MY QUESTION***** -------- Do you subtract the values to determine the length?
Length = 2u - u
Length = [6... | 4 | [
-0.020263671875,
0.0400390625,
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-0.041259765625,
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-0.0184326171875,
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0.02294921875,
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-0.0205078125,
-0.07177734375,
0.0172119140625,
-0.07958984375,
-0.0173339843... | 31,861 | 31861 | |
Areas in the Plane (Calculus)
February 4th 2007, 05:05 PM
turtle
Areas in the Plane (Calculus)
Can someone help me with these problems and explain each step. Any help is appreciated.
Find the area of the regions enclosed by the lines and curves.
x = (tany)^2 and x = -(tany)^2, -Π/4 ≤y ≤ Π/4
February ... | 5 | [
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0.007293701171875,
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0.06494140625,
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0.01153564453125,
0.060546875,
0.049072265625,
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-0.0... | 31,862 | 31862 | |
Orthonormal basis
April 3rd 2011, 05:18 AM #1
Junior Member
Joined
Mar 2011
Posts
31
Orthonormal basis
let $(e_{1},e_{2},e_{3})$ be a positive oriented orthonormal basis.
Define a new basis $(f_{1},f_{2},f_{3})$
* Show that $(f_{1},f_{2},f_{3})$ also is a orthonormal basis.
* determine the ... | 5 | [
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0.0291748046875,
0... | 31,863 | 31863 | |
slope of 1/3
Can a line drawn through (-4,-3) have a slope of 1/3???
any slope you want thru any point in the plane ...
Of course it can. A line drawn through any particular point can have any slope, because those two pieces of information aren't conflicting. Think about it: if the line passes through (-4,-3), that i... | 4 | [
-0.1279296875,
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0.004119873046875,
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0.0126953125,
0.0859375,
0.005950927734375,
0.026123046875,
-0.09814453125,
0.000694274902343... | 31,864 | 31864 | |
regular surface- solution check
February 17th 2013, 11:24 PM #1
Member
Joined
Sep 2010
From
Germany
Posts
112
Thanks
4
regular surface- solution check
For which values of $c\in\mathbb{R}$, is $f^{-1}(c)$ a regular surface , where
$f:\mathbb{R}^3\to \mathbb{R}$ is defined as
$f(x,y,z)=x^2y... | 4 | [
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0.0184326171875,
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-0.08154296875,
-0.08935546... | 31,865 | 31865 | |
Could you please double-check my work
November 15th 2007, 11:39 AM #1
Newbie
Joined
Nov 2007
Posts
9
Could you please double-check my work
I'm working on a couple of problems here and I wanted to make sure my steps to my answers (in bold) are correct. The numbers in red are exponents.
1. Problem: 8 ... | 4 | [
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0.006103515625,
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-0.01129150390625,
0.03955078125,
0.041748046875,
-0.064453125,
-0.06494140625,
0.04150390625,
0.0478515625,
0.04736328125,
-0.01324462890625,
0.06982421875,
-0.0218505859375,
0.1015625,
-0.0859375,
-0.0771484375,
... | 31,866 | 31866 | |
Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 740760, 14 pages
http://dx.doi.org/10.1155/2012/740760
Research Article
Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
... | 5 | [
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-0.024169921875,
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-0.025390625,
0.00762939453125,
0.008056640625,
0.0712890625,
-0.0185546875,
0.00009584426879882812,
0.0546875,
0.030517578125,
0.0172119140625,
0.056884765625,
-0.0... | 31,867 | 31867 | |
Power Series
July 19th 2009, 02:44 PM
calc101
Power Series
Question:
Find a power series representation for the function and determine the interval of convergence:
$f(x) = \frac {1+x^2}{1-x^2}$
My attempt:
we know that
$\frac{1}{1-x} = \sum_{n=0}^{\infty} x^n$
Therefore,
$\frac... | 5 | [
-0.01434326171875,
-0.0194091796875,
0.007110595703125,
0.1279296875,
-0.001251220703125,
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-0.01068115234375,
0.0179443359375,
0.031494140625,
-0.061767578125,
-0.0179443359375,
-0.0026397705078125,
0.0120849609375,
0.05859375,
-0.09765625,
0.055419921875,
0.0039672851... | 31,868 | 31868 | |
Homework Help
Posted by mag on Monday, April 29, 2013 at 7:30pm.
On a trivia game show, a contestent will answer 21 questions. A maximum of 200 points cana be earned. Some questions are worth 10 points and some are worth 8 points. Howmany of each point-value
question must the contestent answer to earn the manimum numb... | 4 | [
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0.033447265625,
0.016357421875,
-0.08203125,
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0.059326171875,
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0.034423828125,
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0.040283203125,
0.0478515625,
-0.036865234375,
0.0908203125,
0.04833984375,
0.02734375,
0.1005859375,
-0.03369140625,
-0.07421875,
-0.0825... | 31,869 | 31869 | |
Galois Group
I could have this wrong, but here goes: The splitting field for $f(x)$ is $K=\mathbb{Q}(\sqrt[3]2,\sqrt[3]3,\rho)$, where $\rho$ is a third root of unity. We then have $[K:\mathbb{Q}]=18$ Since we
can determine all automorphisms based on the roots of $f(x)$ and $\alpha\mapsto\alpha'$, where $\alpha'$ is an... | 5 | [
0.030517578125,
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0.00640869140625,
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0.07421875,
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-0.0087890625,
-0.0218505859375,
0.0478515625,
-0.09912109375,
-0.00000... | 31,870 | 31870 | |
countable sets
November 11th 2011, 12:39 PM #1
Newbie
Joined
Sep 2008
Posts
24
countable sets
Hello! I need some help with these problems...
1. a. Prove that the set of all strictly increasing sequences of natural numbers, is not a countable set.
b. What can you say about the set of converging se... | 5 | [
-0.060791015625,
-0.0228271484375,
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0.00653076171875,
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0.1044921875,
0.0341796875,
0.00933837890625,
0.004180908203125,
0.026123046875,
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0.0458984375,
-0.050537109375,
-0.0211181640625,
-... | 31,871 | 31871 | |
Finite additive measure is a measure if it is continuous from below
September 27th 2009, 09:12 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Finite additive measure is a measure if it is continuous from below
Suppose that a finite additive measure $\mu : \mathbb {M} \rightarrow [0, \infty ]$ ... | 5 | [
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0.1171875,
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0.0194091796875,
0.029296875,
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0.0010223388671875,
0.0279541015625,
-0.0126953125,
-0.061767578125,
0.025634765625,
0.08... | 31,872 | 31872 | |
Factoring z^4+1 over the complex numbers
February 26th 2011, 10:48 AM
ChrisYee08
Factoring z^4+1 over the complex numbers
to do this problem you just set z= x+yi then just factor away right? i just need to know because homework is worth 40% of my grade in this class....ty very much!
February 26th 2011, 11:14 AM... | 5 | [
-0.064453125,
0.07080078125,
0.01519775390625,
0.05126953125,
-0.0125732421875,
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0.056640625,
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0.0216064453125,
0.0167236328125,
0.07763671875,
0.095703125,
-0.091796875,
0.037841796875,
-0.0322265625,
0.03125,
-0.0747... | 31,873 | 31873 | |
point convergence and uniform convergence definition question
April 12th 2012, 06:37 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
point convergence and uniform convergence definition question
i was told that if there is a point x0 from [a,b]
and $lim_{n->infty} f_n{x0}=0$
then it converges ... | 4 | [
-0.058349609375,
-0.0286865234375,
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0.03076171875,
0.045166015625,
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0.021728515625,
-0.01409912109375,
-0.0439453125,
0.076171875,
0.01397705078125,
0.051025390625,
0.0294189453125,
-0.025390625,
-0.057861328125,
0.01092529296875,
-0.... | 31,874 | 31874 | |
Dynamical Complexity of a Spatial Phytoplankton-Zooplankton Model with an Alternative Prey and Refuge Effect
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 608073, 10 pages
http://dx.doi.org/10.1155/2013/608073
Research Article
Dynamical Complexity of a Spatial Phytoplankton-Zooplankton Model with an A... | 5 | [
-0.0035247802734375,
0.012451171875,
0.0595703125,
0.051513671875,
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0.06787109375,
0.0244140625,
-0.1025390625,
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0.06884765625,
0.0198974609375,
0.00994873046875,
0.000965118408203125,
-0... | 31,875 | 31875 | |
How to work a fractional exponent? Need non decimal answer!
December 19th 2010, 07:56 AM
Spoolx
How to work a fractional exponent? Need non decimal answer!
So on a recent test I ran into this, I wasnt sure how to work the first part because I couldnt figure out the fraction for it.
The question said to
... | 4 | [
0.05712890625,
0.00640869140625,
-0.015625,
0.0517578125,
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0.046142578125,
0.0137939453125,
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0.0264892578125,
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0.12353515625,
0.0078125,
0.08642578125,
-0.052978515625,
0.030517578125,... | 31,876 | 31876 | |
Homework Help
Posted by Martha on Monday, November 12, 2012 at 10:25pm.
Wiley jumps straight up in the air from the edge of a cliff so that when he comes down he falls off the cliff. The cliff is 40 feet off the ground. His height t seconds after he jumps is s= -16t2 +
12t + 40.What is the maximum height? What is his ... | 4 | [
0.0216064453125,
0.033203125,
-0.01171875,
-0.0791015625,
-0.000225067138671875,
0.030029296875,
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0.1708984375,
-0.06494140625,
0.0201416015625,
0.052734375,
0.00518798828125,
-0.023193359375,
0.06591796875,
-0.01904296875,
0.09375,
0.004974365234375,
0.0308837890625... | 31,877 | 31877 | |
False Alarm Integral
March 3rd 2006, 06:50 AM
CaptainBlack
False Alarm Integral
This is a problem asked on the usenet group: sci.engr.radar+sonar
Show:
$<br /> \int_0^{\infty} e^{-(T+N+1-k)y} (1-e^{-y})^{k-1} dy=<br /> \frac{(k-1)!(T+N-k)!}{(T+N)!}<br />$
RonL
March 3rd 2006, 09:07 AM
ThePerfect... | 5 | [
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-0.0028228759765625,
-0.078125,
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0.04541015625,
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-0.01214599609375,
-0.051513671875,
0.043212890625,
0.0234375,
-0.02197265625,
0.0498046875,
0.02001953125,
-0.0036773681640625,
-0.01177978515625,
0.01483154296875,
-0.064... | 31,878 | 31878 | |
How to prove consistency of the biased MLE estimator for sigma^2
April 28th 2010, 08:37 AM
pimponi
How to prove consistency of the biased MLE estimator for sigma^2
Hi guys,
I have a small math problem
I have a sample of size N iid normal distributed variables. Then I get the MLE for mu and sigma^2(but th... | 4 | [
-0.040283203125,
-0.038818359375,
0.09912109375,
0.0035552978515625,
0.028076171875,
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0.0380859375,
0.0107421875,
-0.021484375,
0.0230712890625,
-0.020263671875,
0.119140625,
-0.072265625,
0.0013427734375,
0.00970458984375,
0.07568359375,
0.056... | 31,879 | 31879 | |
Real Numbers
November 26th 2009, 02:30 AM #1
Member
Joined
Sep 2009
Posts
145
Real Numbers
Hi,
Someone give me a hand in checking these please.
a.) Given that $x > y$ , and $k < 0$ for the real numbers $x$, $y$ and $k$, show that $kx < ky$.
$kx>y$...1
$x>y$$x - y$ is +ve...2
$k<0... | 4 | [
0.0035858154296875,
0.05908203125,
0.05224609375,
-0.083984375,
-0.0693359375,
0.0294189453125,
0.07373046875,
-0.01953125,
-0.036865234375,
0.0634765625,
0.039794921875,
0.0264892578125,
0.07373046875,
-0.0269775390625,
0.01470947265625,
0.06787109375,
0.00921630859375,
-0.0005302... | 31,880 | 31880 | |
countably infinite / uncountable sets
February 9th 2010, 10:54 AM
Chizum
countably infinite / uncountable sets
Is it true if the set X is countably infinite then there are bijective maps f: X-->N and f:N-->X ?
Separately, could someone start me off on this proof:
Prove that if A in uncountable, then A ... | 5 | [
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0.0240478515625,
0.01513671875,
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-0.0458984375,
0.0505371093... | 31,881 | 31881 | |
series expansion of an elliptic integral
September 27th 2008, 12:06 PM
minivan15
series expansion of an elliptic integral
my problem is: find a series expansion in the variable k of F(k, pi/2) for 0 < k < 1
F(k, pi/2) = [integral from 0 to pi/2] dx/SQRT(1-ksinx)^2)
what is a good starting point for thi... | 5 | [
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-... | 31,882 | 31882 | |
it
WARP VELOCITY
Maintained by: Joshua Bell <jsbell@dimensionx.com>
Archive site (W... | 4 | [
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formula for matrix determinant
December 2nd 2007, 08:55 PM #1
formula for matrix determinant
please compute the determinant of this matrix..
$<br /> \left[ { \begin{array}{ccccc} k & 1 & 0 & \ldots & 0 \\ 1 & k & 1 & \ldots & 0 \\ 0 & 1 & k & \ldots & 0 \\ \vdots & \, & \ddots & \ddots & \vdots \\ 0 & 0 & \l... | 5 | [
0.025634765625,
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0.035400390625,
-0.0236... | 31,884 | 31884 | |
math- differential equations
Posted by manny on Friday, September 7, 2007 at 7:23pm.
This is what im given
(1 + x)dy/dx - xy = x + x2
____________________________________________________________________________________________________________________________________________________________
From my understanding I s... | 5 | [
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Business Case Return on Investment
Here is an example of a simple return on investment (ROI) calculation.
ABC Company wants to purchase a new office-automation product with an estimated life cycle of three years. Based on the estimated lifecycle, we will use a three-year time line with four dates: year 0
(start of pro... | 4 | [
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-... | 31,886 | 31886 | |
Real Analysis Help. Series Convergence
November 20th 2008, 01:17 PM #1
Newbie
Joined
Nov 2008
Posts
13
Real Analysis Help. Series Convergence
i would love if someone could help me with 2 problems im having trouble with.
1) Let $a_1, a_2, a_3$, ... be a decreasing sequence of positive numbers. Show ... | 4 | [
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Permutation of the word STATISTIC
January 29th 2013, 08:20 AM #1
Junior Member
Joined
Jul 2012
From
Earth
Posts
56
Permutation of the word STATISTIC
Q: In how many ways can the letters in the word STATISTIC be arranged?
Now, I am not interested in the actual answer but rather the method whereby ... | 4 | [
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Parabola directrix
February 15th 2007, 03:18 PM #1
Junior Member
Joined
Jan 2007
Posts
40
Parabola directrix
Could someone help me with these two types of problems?
1) Find the directrix of the parabola (y-7)[squared]=4(x+3).
2) Find the equation of the parabola whose focus is (2,3) and the dir... | 4 | [
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7. The Inverse Trigonometric Functions
by M. Bourne
In the section Trigonometric Functions of Any Angle, we solved questions like
"Find 2 angles whose cosine is 0.7."
Need Graph Paper?
This question involved the use of the cos^-1 button on our calculators. We found cos^-10.7 and then considered the quadrants w... | 5 | [
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Moment Problems on Bounded and Unbounded Domains
International Journal of Analysis
Volume 2013 (2013), Article ID 524264, 7 pages
http://dx.doi.org/10.1155/2013/524264
Research Article
Moment Problems on Bounded and Unbounded Domains
Department of Mathematics-Informatics, Faculty of Applied Sciences, University Poli... | 4 | [
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convergent or divergent, find its sum
November 24th 2007, 06:06 AM #1
Junior Member
Joined
Apr 2007
Posts
38
convergent or divergent, find its sum
Here is the problem:
geometric series is: n=1 to infinity e^n/2^n
here is what I did: (e/2)^n r= e/2 e/2>1
since r>1 the series diverges, is this ... | 4 | [
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a steel beam...
July 31st 2006, 04:25 PM
babygirl
a steel beam...
A steel beam 10m long is installed in a structure at 20oC. What are the beam's changes in length at the temperature extremes of -30oC to 45oC?
July 31st 2006, 09:01 PM
earboth
Quote:
Originally Posted by babygirl
A steel beam 10m... | 4 | [
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Stuck on definite integral of root
February 18th 2009, 11:26 PM
Canadian0469
Stuck on definite integral of root
Hi,
I'm taking an engineering course and in an example problem my teaching assistant solved on the board he solved an integral and I can't remember how it was done. The integral is $\int^\pi_0 \sq... | 5 | [
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-0.0493164062... | 31,894 | 31894 | |
average value on an interval
January 7th 2007, 03:19 PM
abcocoa
average value on an interval
please help!
The average value of cosx on the interval [-3,5] is...?
I looked in my book and asked a friend but nobody understands...the answer is supposed to be (sin3 + sin5)/8...
January 7th 2007, 03:25 PM
... | 5 | [
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-0.000162... | 31,895 | 31895 | |
Ring help
March 4th 2007, 12:02 PM #1
Junior Member
Joined
Mar 2007
Posts
40
Ring help
Two questions:
1. If R is a ring then is every element of R either a unit or zero-divisor.
COnversely
2. IF R is a ring, then there is no elements of R which is both a unit and a zero-divisor.
Is R a... | 5 | [
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Find the radius of a spherical tank when the volume is known.
December 9th 2008, 12:19 AM #1
Junior Member
Joined
Dec 2008
Posts
58
Find the radius of a spherical tank when the volume is known.
The radius of a sphere is given by the formula:
r = (0.75 V/
where V is its volume. Find the radius of ... | 4 | [
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[SOLVED] last 3 homework problems im stumpped on
March 21st 2009, 05:23 PM #1
Member
Joined
Feb 2009
Posts
92
[SOLVED] last 3 homework problems im stumpped on
1. They want me to evaluate the expression using the values given in table for (fog)(4)
x | 1,5,11,12
f(x)|-4, 11, 3, 15
x |-5, -4, ... | 4 | [
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0.0... | 31,898 | 31898 | |
A couple of easy ones
June 14th 2009, 11:24 PM #1
A couple of easy ones
Hi All,
Am having a real brain fade tonight, can you help me with the following:
Differentiate y = x² + bx + c, and hence find b and c if:
e) the parabola is tangent to 3x + y – 5 = 0 at the point T(3,-1)
f) the line 3x... | 4 | [
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-0.0007438659667968... | 31,899 | 31899 |