content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
modulo help
You can find $x$ as follows. Suppose $x = \alpha_0 + 3\alpha_1 + 3^2\alpha_2$. Then $x \equiv \alpha_0 \pmod{3}$ and $x \equiv \alpha_0 + 3\alpha_1 \pmod{9}$. So, you can solve the equation in steps.
First, let's consider the equation mod 3, then mod 9, then mod 27. $22x \equiv x \pmod{3}$ $22x \equiv 4x \p... | 5 | [
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Simplex Method for Non-standard Problems
┌─────────────────────────────┐
│ SIMPLEX METHOD │
... | 4 | [
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the encyclopedic entry of geocentric longitude
Longitude
(or ), symbolized by the
Greek
character
lambda
(λ), is the east-west
geographic coordinate
measurement most commonly used in cartography and global navigation. A line of longitude is a
meridian
and half of a
great circle
.
History
Mariners and explo... | 4 | [
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Cancellation of sets
March 11th 2011, 02:11 PM #1
Cancellation of sets
I'd appreciate it if someone would look this over for me. This is probably easier than I am making it.
Let A, B, and C be subsets of a set X. I wish to show
$\displaystyle B = C \Leftrightarrow A \cup B = A \cup C$
First: $\displ... | 4 | [
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Systems of Two Equations... Word Problems
January 24th 2008, 01:35 PM
CODEONE
Systems of Two Equations... Word Problems
I've been struggling on how to set up these two word problems. The first one is a mixture problem while the second is about motion; I believe.
1) In order for coffee to be labeled "Kona Bl... | 4 | [
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Two Gravity related questions that I would like checked.
June 23rd 2010, 11:02 AM #1
Two Gravity related questions that I would like checked.
Greetings once more MHF!
I have a couple of questions related to gravity that I think I have worked out fully but need to make sure of.
On all questions $g=10m/s^... | 4 | [
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math-optimal diameterand height
Posted by Alicia on Thursday, November 18, 2010 at 8:39am.
A cylindrical oil-storage tank is to be constructed for which the following costs apply:
cost per square meter metal for ides $30.00
combined costs of concrete base and metal bottom $37.50(cost per square meter)
top 7.50 (cos... | 5 | [
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Basic taylor expansion...
A taylor series is a sum of various terms comprised of factors multiplying nth derivitive terms:
f(x)=f(a)+(x-a)f'(a)+ [(x-a)^2]/2!+[(x-a)^3]/31...
your function y=f(x)=1/sqrt(1-x^2) is well suited to a trigonometric substitution:
x=sin(u) (and dx/du=cos(u))
since [sin(u)]^2+[cos(u)]^2=1, ... | 5 | [
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Math Help
March 29th 2011, 07:09 PM #1
Junior Member
Joined
Jan 2011
Posts
46
categirical
let V_p be the vocabulary consisting of a single unary relation P . Let T be a complete V_p -theory having infinite models. how can I show that T is No-categorical.
No means aleph.
I need your help please.
... | 4 | [
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A New Subclass of Meromorphic Close-to-Convex Functions
Journal of Complex Analysis
Volume 2013 (2013), Article ID 629394, 5 pages
http://dx.doi.org/10.1155/2013/629394
Research Article
A New Subclass of Meromorphic Close-to-Convex Functions
^1Department of Mathematics, Government Engineering College, Bikaner 334001... | 5 | [
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for Solutions of Elliptic Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 650870, 7 pages
http://dx.doi.org/10.1155/2013/650870
Review Article
A Priori Bounds in and in for Solutions of Elliptic Equations
Dipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano... | 4 | [
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Completing the square
Hello, Can someone please show me how to complete this square? 2x^2+y^2=2y+1 Thanks! -Mark
You are sure it isn't $2xy$ in the right-hand side ? If yes, then it is easy, if no, then there is a little more thinking to do. Have you tried using square identities to factor out both unknowns
together ?... | 4 | [
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Homework Help
Posted by jeff on Sunday, April 19, 2009 at 12:31am.
You are in a hot-air balloon that ascends at a constant velocity of 2.00 m/s. When the ballon is 1000 meters in the air you jump out of it what speed will you hit the ground with? neglect air
resistance.
I know we use the conservation of mechanical en... | 4 | [
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logarithms question ♥
August 8th 2010, 05:18 PM
grgrsanjay
logarithms question ♥
a,b,c are positive integers forming an increasing G.P and b-a is a perfect cube and $log_6(a)$+ $log_6(b)$+ $log_6(c)$ =6 then a+b+c=?
August 8th 2010, 05:28 PM
eumyang
\begin{aligned}<br /> \log_6\,a + \log_6\,b + \log_6\,c ... | 4 | [
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equation of the line that is tangent to the curve
July 23rd 2011, 01:51 AM
raymac62
equation of the line that is tangent to the curve
Find the equation of the line with a slope -1 that is the tangent to the curve:
$y= \frac {1}{x-1}$
This is the process I am using to find the solution but I am getting ... | 4 | [
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derivative of a function
April 20th 2010, 12:04 AM #1
Junior Member
Joined
Jan 2010
Posts
49
Question :
(a) let y = cos x, find d^999y/dx^999
(b) let y = x^x^x^x^x^x...., find dy/dy
(c) let y =sqrt(x+sqrt(x+sqrt(x+sqrt(x+......), find dy/dx
my attempt :
(a) y= cos x
y' = -sin ... | 5 | [
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compound inequality
July 17th 2005, 08:13 AM #1
Newbie
Joined
Jul 2005
Posts
6
inequality
Solve the compound inequality and write answer in INTERVAL notation:
5x > -9 + 2x and 9 – 2x >11
(please help with one more)Solve
The equation y = 0.50x + 8 represents the cost, y, in dollars of ... | 4 | [
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rational numbers
September 6th 2008, 11:54 AM #1
Junior Member
Joined
Sep 2008
Posts
62
rational numbers
Find two rational numbers with denominators 11 and 13, respectively, and a sum of 7/143.
I got x/11 + y/13=7/143.
Two unknowns and one equation. Kind of stuck.
Might help to multiply th... | 5 | [
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Geometric Series Help (time payments)
October 23rd 2008, 01:57 AM
noobonastick
Geometric Series Help (time payments)
Hello, can someone help me with this.
A man is to receive six payments of $500 each, the first payment in a year's time and subsequent payments at two-yearly intervals. He invests each paymen... | 4 | [
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verifying trig identity
Hello, Thelema! $\frac{\sin3x}{\sin x}-\frac{\cos3x}{\cos x}\;=\;2$ Combine the fractions: . $\frac{\sin3x}{\sin x}\!\cdot\!{\color{blue}\frac{\cos x}{\cos x}} - \frac{\cos3x}{\cos x}\!\cdot\!{\color
{blue}\frac{\sin x}{\sin x}} \;=\;\frac{\sin3x\cos x - \cos3x\sin x}{\sin x\cos x}$ . . $=\;\fra... | 4 | [
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Finding the intersection between the normal line and an implicit irrational function
January 6th 2013, 10:06 AM
Lambin
Finding the intersection between the normal line and an implicit irrational function
PROBLEM:
Intersecting normal: The line that is normal to the curve $x^2+2xy-3y^2=0$ at $(1,1)$ intersect... | 5 | [
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Rotating around x and y axis
January 12th 2010, 09:22 AM #1
Rotating around x and y axis
Hi,
I have a problem i wasn't able to solve, i don't know how to calculate the volume of the generated body, when it is rotated around both the x and the y axis.
$A = \{(x,y):\sqrt{x}e^{x^2}~\le y \le 3,~ 0 \le x \l... | 5 | [
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Solving problem involving normal distributions
August 25th 2010, 06:38 AM
mastermin346
Solving problem involving normal distributions
Asiah found that the time taken to travel from her house to her office is normally distributed with a mean of 40 minutes and a varience of 64 minutes^2.If she leaves home at 7:30a... | 4 | [
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-0.0751... | 32,822 | 32822 | |
Logarithms, please help!
February 24th 2008, 11:06 AM #1
Newbie
Joined
Jan 2008
Posts
18
Logarithms, please help!
I don't know how to solve the following problems:
1.) ln(x^2 + 4) - ln (x + 2) = 2 + ln(x-2)
2.) log(57x) = 2 + log(x-2)
3.) log base 5 (x-5) = 5
Your assistance would be ... | 4 | [
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Almost sure convergence & convergence in probability
November 23rd 2009, 02:34 AM
kingwinner
Almost sure convergence & convergence in probability
"Almost sure convergence" always implies "convergence in probability", but the converse is NOT true.
Thus, there exists a sequence of random variables Y_n such th... | 5 | [
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Differential equation
you can easily see that this is an exact ODE $\frac{\partial }<br /> {{\partial y}}\left( {x^2 + y^2 } \right) = \frac{\partial }<br /> {{\partial x}}2xy<br />$ thus we can find the solution as
follows: $<br /> \psi (x,y) = \int {2xy} dy = xy^2 + f(x)$ we know that: $<br /> \begin{gathered}<br /> ... | 5 | [
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Figure out how to maximize profit by solving linear programming problems graphically
October 26th 2009, 10:37 PM #1
Newbie
Joined
Oct 2009
From
Washington
Posts
3
Figure out how to maximize profit by solving linear programming problems graphically
I'm new to this site so I'm hoping this is the right ... | 4 | [
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Series converge or diverge?
May 21st 2008, 01:05 AM #1
Newbie
Joined
Mar 2008
Posts
13
Series converge or diverge?
Use what test?
a) ∑(from n=1 to infinity) (arctan n/ n^1.2)
b) ∑(from n=1 to infinity) ( (n^n) / (2n)! )
Not sure how to do these...when i do it using ratio test, it turns out ... | 5 | [
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0.01446533203125,
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0.06298828125,
-0.0... | 32,827 | 32827 | |
Another algebra exercise
$\dfrac{x+5}{4} <= (\dfrac{x-7}{2})^{2}$ $\dfrac{x+5}{4} <= \dfrac{x^{2}-14x+49}{4}$ $-x^{2}+15x <= 44$ How do I continue?
I'm sorry but I still can't solve the whole exercise. The whole exercise is this: "Solve the next systems:" (sorry for the bad translation) The solution is $1 \ge\ x \ge\ ... | 4 | [
-0.0177001953125,
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0.068359375,
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-... | 32,828 | 32828 | |
prove or disprove: statement about Span
December 28th 2012, 04:18 AM
Stormey
prove or disprove: statement about Span
$V$ is a linear space. $A,B\in V$ are sets, and $W$ is subspace:
$Span(A\cup B\cup W)=(Span(A)+Span(B))\cup W$
i just need help to figure out if it's true or false.
thanks in advanc... | 5 | [
-0.00830078125,
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-0.01806640625,
-0.042236328125,
-0.04248046875... | 32,829 | 32829 | |
ati
Intro
Very often you find youself in the need to compute the distance to an isosurface that is defined through an implicit scalar field
f(x)
. This happens in just too many situations, like in raymarching
mandelbulbs
or
julia sets
or any sort of regular
distance fields
, rasterizing functions or rendering
... | 4 | [
-0.055908203125,
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... | 32,830 | 32830 | |
All Phase Resetting Curves Are Bimodal, but Some Are More Bimodal Than Others
ISRN Computational Biology
Volume 2013 (2013), Article ID 230571, 11 pages
http://dx.doi.org/10.1155/2013/230571
Research Article
All Phase Resetting Curves Are Bimodal, but Some Are More Bimodal Than Others
Department of Physics and Astro... | 4 | [
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... | 32,831 | 32831 | |
the encyclopedic entry of trigonometry
Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that deals with triangles, particularly those plane triangles in which one angle has 90 degrees (right
triangles). Trigonometry deals with relationships between the sides and the angles of ... | 4 | [
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0.0654296875... | 32,832 | 32832 | |
A question on Jordan content
March 3rd 2010, 12:25 AM
zzzhhh
A question on Jordan content
If A is Jordan-measurable with Jordan content c(A), $B\subseteq A$ and is of content zero. Prove that A-B is also Jordan-measurable with the Jordan-content equal to c(A). Thanks!
March 3rd 2010, 05:25 PM
zzzhhh
I fin... | 5 | [
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Homework Help
Posted by JEN on Monday, July 15, 2013 at 9:04am.
Two radar stations at A and B, with B 6 km east of A, are tracking a ship which is generally to the north. At a certain instant, the ship is 5 km from A and this distance is increasing at the rate of
28 km/h. At the same instant, the ship is also 5 km fro... | 5 | [
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-0.040... | 32,834 | 32834 | |
Conical surface and vector field
May 14th 2010, 05:47 AM #1
Junior Member
Joined
Sep 2009
Posts
35
Consider the conical surface
S={ ${(x,y,z) \in R^3 |x^2+y^2=z^2,0 \leq z \leq 1}$}
and the vector field f(x,y,z) = (-y,x,z)
(a) Carefully sketch S (can anyone please send me a picture?)
(b) E... | 4 | [
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... | 32,835 | 32835 | |
Contravariant Vector (newbie in trouble)
August 3rd 2012, 10:27 AM #1
Junior Member
Joined
Aug 2012
From
England
Posts
27
Contravariant Vector (newbie in trouble)
Hello everybody, great forum. This is my first post so any help you can provide would be great
I have attached the problem with this ... | 5 | [
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0.02551269531... | 32,836 | 32836 | |
Constructing a projection
October 20th 2010, 03:53 AM
Mauritzvdworm
Constructing a projection
Let $B$ be a C*-algebra and let $p$ be a rank-one projection in $K$, the space of compact operators on some Hilbert space $H$.
I would like to construct a projection $\mathcal{P}$ in the multiplier algebra $M(B\oti... | 5 | [
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Latin American applied research
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Bookmark
versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.37 n.2 Bahía Blanca abr. 2007
FE approach for thermodynamically consistent gradient-dependent plasticity
S. M. Vrech and G. Etse
Center of Numerical ... | 4 | [
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-0.000446319580078... | 32,838 | 32838 | |
Erophile
This page has been visited total since 11 June 2009
EROPHILE
Eigenvector representation of observables and probabilities in a high-dimensional Euclidean space.
or go to JCP to see J. Chem. Phys. 130, 044905 (2009); DOI:10.1063/1.30631... | 4 | [
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-... | 32,839 | 32839 | |
limit and sequence
April 5th 2009, 11:54 AM
bearej50
limit and sequence
The limit, as n approaches infinity, of (1 + (1/n))^n = e (by e, I mean 2.71828). Use this to find the limit of the following sequence:
sn = ((n+2)/(n+1))^(n+3)
April 5th 2009, 11:59 AM
Chris L T521
Quote:
\begin{aligned}\... | 5 | [
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-0.07519531... | 32,840 | 32840 | |
Electricity - Basic Navy Training Courses
Here is the "Electricity - Basic Navy Training Courses" (NAVPERS 10622) in its entirety. It should provide one of the Internet's best resources for people seeking a basic electricity course -
complete with examples worked out. See copyright. See Table of Contents.
¶ U.S. GOVER... | 4 | [
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-0.02... | 32,841 | 32841 | |
Particle moving
February 8th 2010, 12:32 PM #1
Newbie
Joined
Jan 2010
Posts
7
Particle moving
A particle moves along the x-axis so that its velocity at any time t > or equal to zero is given by v(t) = pi(t)-cos((pi)(t)).
Find the acceleration at any time t. Find the minimum acceleration of the partic... | 5 | [
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0.0252685546875,
-0.048... | 32,842 | 32842 | |
exponential equations
November 10th 2007, 09:42 PM
dalsha
exponential equations
Hello...I have completely forgotten how do solve for x in questions like this
(sorry I don't know how to put 2/3 as a power)
x to the 2/3 =9
November 10th 2007, 09:54 PM
earboth
Quote:
Hello,
rearrange you... | 4 | [
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... | 32,843 | 32843 | |
Find the general solution for...
November 4th 2011, 07:34 PM #1
Find the general solution for...
I'm having a bit of trouble solving this trig problem:
Find the General solution for... $\sin(4x) - \cos(x) = 0$
At first when I looked at it it seemed easy but as I tried to solve it, it got really confusi... | 5 | [
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-0.00... | 32,844 | 32844 | |
!!Need someone to check answers - Combinatorics Problems
November 25th 2008, 06:05 PM #1
Junior Member
Joined
Nov 2008
Posts
53
!!Need someone to check answers - Combinatorics Problems
36. Solve for n.
a) P (n,5) = 20P (n,3)
No clue how to do this; - please help me solve!
37. A library she... | 4 | [
0.00982666015625,
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-0.10546875,
-0.035888671... | 32,845 | 32845 | |
Need help with annualized*yield*calculation
March 31st 2010, 06:51 AM #1
Newbie
Joined
Mar 2010
Posts
5
Hello everyone, I've been stumped on finding a solution for the following problem and was hoping you could help me out.
I am trying to find the interest percentage for the following problem and the ... | 5 | [
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-0.037109375,
-0.0264892578... | 32,846 | 32846 | |
Need help solving this system of equations
April 4th 2010, 06:28 PM
rainer
Need help solving this system of equations
Hi. I have to solve the following system of equations:
$\frac{1}{y+z}+\lambda=0$ (equation 1)
$\frac{-x}{(y+z)^2}=0$ (equation 2)
$\frac{-x}{(y+z)^2}+\lambda=0$ (equation 3)
$... | 4 | [
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0.00811767578125,
-0.02099609375,
-0.10205... | 32,847 | 32847 | |
Homework Help
Posted by 6th grader on Wednesday, July 29, 2009 at 4:24pm.
How do you find out the square root of a decimal?
ex. 2.31
• Math - Ms. Sue, Wednesday, July 29, 2009 at 4:29pm
You could use a calculator.
• Math - 6th grader, Wednesday, July 29, 2009 at 4:35pm
I need to do it without a calcul... | 4 | [
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0.04... | 32,848 | 32848 | |
Norm Inequality Proof
September 2nd 2008, 06:23 PM
Paperwings
Norm Inequality Proof
Problem:
Let u be a point in $\mathbb{R}^n$ and suppose that $\| u \| < 1$. Show that if v is in $\mathbb{R}^n$ and $\| v - u \| < 1 - \| u \|$, then $\| v \| < 1$
=================================
Attempt
Since... | 5 | [
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0.0703125,
-0.096... | 32,849 | 32849 | |
Radio active decay
December 15th 2009, 06:34 AM #1
Junior Member
Joined
Mar 2008
Posts
38
Radio active decay
Radioactive substance has a half life of 18 years. Decay rate remains constant how long will it before 95 percent of the sample has decayed?
Thanks,!
Hello, av8or91!
A radioactive s... | 5 | [
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-... | 32,850 | 32850 | |
Abstract questions
November 27th 2011, 09:01 PM
Johngalt13
Abstract questions
1)Suppose a1, a2,.....,an are denumerable sets. Show that a1Xa2X....Xan is denumberable(a1Xa2X...xan is the set of n-tuples(a1,a2...an),ai is an elember of Ai)
I literally have no idea what that means so any direction would be nic... | 5 | [
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... | 32,851 | 32851 | |
Check my proof
May 9th 2008, 02:00 AM
deragon999
Check my proof
A and B are n x n orthogonal matricies...show that
A(A^t+B^t)B=A+B
Where A^t and B^t are the transposes of A and B
Here is my working:
LHS= A(A^t+B^t)B
= (A*A^t+A*B^t)B
= (I+A*B^t)B
= IB+A*B^t*B
= B+A*I
= A+B
... | 4 | [
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Homework Help
Posted by tiara on Tuesday, August 11, 2009 at 9:13pm.
when x=3 and y=5 how much does the value of 3x to the seond power minus 2y to the second power exceed the value of 2x to the second power minus 3y
• algebra - bobpursley, Tuesday, August 11, 2009 at 9:23pm
value=3x^2-2y^2 - 2x^2+3y
Paste... | 4 | [
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-0.05981... | 32,853 | 32853 | |
anyone help?
April 3rd 2009, 01:36 AM #1
Newbie
Joined
Dec 2008
Posts
18
A random variable R has probability density,
p_R(x) = (x^m / m!)e^-x if x >= 0; and 0 otherwise
where m is a positive integer.
(a) Show that
P(0 <= R <= 2(m + 1)) = 1 - P(|R - (m + 1)| > m + 1)
(b) Use Cheb... | 5 | [
0.004150390625,
0.0203857421875,
-0.00689697265625,
-0.025634765625,
0.041015625,
0.034912109375,
0.109375,
0.0869140625,
-0.03662109375,
0.057373046875,
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-0.0167236328125,
0.09033203125,
-0.0218505859375,
0.013671875,
-0.038818359375,
0.08740234375,
-0.0529785156... | 32,854 | 32854 | |
Opposite number proof
September 7th 2012, 10:08 AM #1
Opposite number proof
Hello, I am stuck with this problem from Gelfand's Algebra book:
Problem 126. Prove that if $\frac{1}{a+b+c}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c }$, then there are two opposite numbers among $a, b, c (i.e: a=-b, a=-c, b=-c)$
To be ... | 4 | [
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0.041015625,
0.103515625,
0.042236328125,
-0.06494140625,
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0.049560546875,
0.032470703125,
-0.0849609375,
-0.036865234375,
0.080078125,
-0.035644... | 32,855 | 32855 | |
Homework Help
Posted by Anonymous on Saturday, October 1, 2011 at 3:51pm.
Consider the straight line: y=1x+3. Calculate the area UNDER this line which is bounded by y=0, x=8 and x=15. (That is, the area from the horizontal axis (y=0) to the line, between the values of x=8
and x=15.) Give you answer to the nearest whol... | 4 | [
0.001190185546875,
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0.12890625,
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0.01483154296875,
0.0093994140625,
-0.004791259765625,
0.037841796875,
-0.005615234375,
-0.051025... | 32,856 | 32856 | |
Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 603535, 25 pages
http://dx.doi.org/10.1155/2012/603535
Research Article
Stochastic Synchronization of Reaction-Diffusion Neural Networks un... | 5 | [
-0.08251953125,
-0.09326171875,
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-0.05908203125,
-0.05908203125,
0.0174560546875,
0.0230712890625,
-0.02... | 32,857 | 32857 | |
Solving Bernoulli Differential Equation.
Applying the 'standard procedure' the substitution $w=\frac{1}{y}$ leads to the DE... $w^{'}= - 1+2 w x -2 w^{2}$ (1) ... which is known as 'Riccati Equation'. The solution of this type of equation
is usually an hard task but, may be, not impossible in this case. The question re... | 5 | [
-0.078125,
-0.07763671875,
0.0537109375,
0.12109375,
0.0203857421875,
-0.047119140625,
-0.00830078125,
0.028076171875,
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0.0289306640625,
0.0751953125,
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0.047119140625,
-0.041259765625,
0.1025390625,
-0.030029296875,
-0.08984375,
-... | 32,858 | 32858 | |
Limit Problem (Multi)
Evaluate the following limit: lim([(x,y) -> (0,0)] (xy)/(x^2+y^2) The limit of (xy)/(x^2+y^2) as (x,y) approaches (0,0). I have no idea.
First, consider the lim along the path x = 0. And thus, we have: lim([(0,y) -> (0,0)] 0/(0 + y^2) = lim(y -> 0) 0 = 0 Then, consider the lim along the path y = ... | 4 | [
-0.0120849609375,
-0.006134033203125,
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-0.051513671875,
0.056396484375,
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0.07861328125,
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-0.03759765625,
0.09375,
0.0033111572265625,
0.046630859375,
-0.048583984375,
-0.0... | 32,859 | 32859 | |
Homework Help
Posted by angles on Wednesday, August 24, 2011 at 10:45am.
Find two unit vectors that make an angle of 60° with v = ‹3, 4›. Give your answers correct to three decimal places.
I'm not sure what to do here; I believe that I use to definition of a dot product (or maybe cross product) with relation to the t... | 4 | [
-0.0810546875,
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0.017822265625,
0.01519775390625,
0.00112152099609375,
0.032470703125,
-0.102050781... | 32,860 | 32860 | |
Homework Help
Posted by sam on Monday, April 1, 2013 at 10:09pm.
Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 1.1 times the width w of the rectangle
If the cross-sectional area is A, determine the dimensions of the window which minimize the perimet... | 5 | [
0.0203857421875,
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0.0255126953125,
-0.0214... | 32,861 | 32861 | |
Homework Help
Posted by Jessi on Sunday, February 19, 2012 at 2:32pm.
Determine the slope of the tangent to the curve y=2(x^2+x-1)^3 at (-1, -2)
• Calculus - Reiny, Sunday, February 19, 2012 at 2:37pm
dy/dx= 6(x^2+x-1)^2 (2x+1)
at (-1,-2)
dy/dx= 6(1-1-1)^2 (-2+1)
= -6
so now you have the slop... | 4 | [
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-0.0446777... | 32,862 | 32862 | |
[SOLVED] Some help with limits
March 3rd 2010, 04:53 PM #1
Member
Joined
Oct 2009
Posts
175
[SOLVED] Some help with limits
I have to evaluate the following limits:
a) lim x -> 7
(square root(x+2)) -3 / (x-7
I was unable to solve this
b) lim x -> 0
1/x - 1/(x^2 + x)
Somehow sim... | 4 | [
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0.11669921875,
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0.020751... | 32,863 | 32863 | |
easy geometry!
November 19th 2010, 05:32 PM #4
November 19th 2010, 05:28 PM #3
November 19th 2010, 05:25 PM #2
Member
November 19th 2010, 05:05 PM #1
Member
Fine, so we want to use trig. Very well. We know the magnitude of all the angles because we see that we had similar triangles here, they are all isosceles,... | 4 | [
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0.0167236328125,
-0.0145263671875,
-0.... | 32,864 | 32864 | |
Find solutions of z bar = z^2
August 28th 2011, 08:22 AM #1
Member
Joined
Jul 2011
Posts
196
Find solutions of z bar = z^2
Im trying find all solutions for: $\bar{z}=z^2$
Should I convert z into $x +iy$ or $r(cos(\theta) +isin(\theta))$ if I want to interpret my result geometrically?
What I ha... | 5 | [
-0.08984375,
0.0079345703125,
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0.00244140625,
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0.07080078125,
0.0250244140625,
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0.06591796875,
0.038818359375,
0.047607421875,
-0.0216064453125,
-0.080566406... | 32,865 | 32865 | |
Prime ideal and maximal
November 26th 2007, 12:45 PM
tttcomrader
Prime ideal and maximal
If R is a finite commutative ring with unity, prove that every prime ideal of R is a maximal.
Proof. Suppose that <p> is a prime ideal of R, then p is a prime. Let p | ab, we have p|a or p|b. Let $<p> \subset J \subset ... | 5 | [
-0.00823974609375,
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0.08154296875,
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0.0537109375,
0.031982421875,
0.06884765625,
0.0179443359... | 32,866 | 32866 | |
MULTIMAGIE.COM - The smallest possible bimagic square
The smallest possible bimagic square
See also the smallest possible bimagic square using distinct integers
See also the smallest possible bimagic cube
The smallest multimagic square must be a bimagic square (2-multimagic). What is the smallest bimagic square possib... | 5 | [
0.08154296875,
0.0361328125,
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0.031982421875,
0.0615234375,
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0.078125,
0.0128173828125,
-0.0076904296875,
-0.026611328125,
0.0216064453125,
-0.06640625,
0.0678710937... | 32,867 | 32867 | |
2nd order differential eqs
October 18th 2006, 10:04 AM #1
Newbie
Joined
Sep 2006
Posts
13
2nd order differential eqs
Ok, so i have the eq
d^2x/dt^2 + 4x = sin2t
And have to first find the auxiliary eq (AE) and also the particular soln.
then obtain the general soln and confirm that no period... | 4 | [
-0.10986328125,
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0.034912109375,
0.01263427734375,
-0.0157470703125,
-0.008544... | 32,868 | 32868 | |
Trapezoid Altitude
April 30th 2012, 03:58 AM #1
Newbie
Joined
Apr 2012
From
Philippines
Posts
3
Trapezoid Altitude
Is there a formula to calculate the altitude of a part of a trapezoid?
Please see the attachment.
I would like to solve for X
Thanks,
Re: Trapezoid Altitude
This can... | 4 | [
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0.04541015625,
0.07421875,
0.0849609375,
-0.045166015625,
0.08642578125,
... | 32,869 | 32869 | |
Homework Help
Posted by Steve on Friday, March 8, 2013 at 6:34pm.
Two identical +9.5uF point charges are initially 3.5cm from each other.
If they are released at the same instant from rest, how fast will each be moving when they are very far away from each other? Assume they have identical masses of 2.0mg
• physic... | 4 | [
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0.052734375,
... | 32,870 | 32870 | |
An Introduction To Value at Risk (VAR)
Value at risk (VAR or sometimes VaR) has been called the "new science of risk management", but you do not need to be a scientist to use VAR. Here, in part 1 of this series, we look at the idea behind
VAR and the three basic methods of calculating it. In Part 2, we apply these meth... | 4 | [
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0.03564453125,
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-0.044677734375,
-0.0... | 32,871 | 32871 | |
Simplify using Exponent Laws
September 12th 2007, 11:31 AM #1
Member
Joined
Sep 2007
Posts
140
Simplify using Exponent Laws
I have two questions, if any help is given I'd appreciate it.
Simplify using the laws of exponents.
1) (3t - 2t^(-1)) / t^3
2) (3p^2 - p^(-3)) / p^4
Thank you ve... | 4 | [
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0.00080108642578125,
0.078125,
0.025634765625,
0.029296875,
-0.02038... | 32,872 | 32872 | |
Area between three parabolas.
August 20th 2010, 09:21 PM #1
Newbie
Joined
Mar 2010
Posts
21
Area between three parabolas.
I'm confused where to start with this. I have to calculate the area between three intersecting parabolas.
y = x^2 - 8x + 16
y = x^2 +8x +16
y = 2 - 0.125x^2
to c... | 5 | [
0.032470703125,
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0.12060546875,
0.0194091796875,
-0.... | 32,873 | 32873 | |
GRE subject test question
October 27th 2007, 07:44 AM #1
Junior Member
Joined
Jun 2007
Posts
63
GRE subject test question
Hello all,
Here is a sample GRE subject exam question.
Let p(x) be the polynomial x^3 + a*x^2 + b*x + c, where a, b, and c are real constants. if p(-3) = p(2) = 0 and p'(3) ... | 4 | [
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-0.004302978515625,
0.0576171875,
-0.0458984375,
-0.0625,
-0.06835937... | 32,874 | 32874 | |
Exponential Functions: Differentiation and Integration
April 25th 2010, 02:43 PM #1
Newbie
Joined
Apr 2010
Posts
5
Exponential Functions: Differentiation and Integration
I have no idea how to answer these problems
Solve for x
ln((x-4)^2)=14
Find an equation of the tangent line to the graph... | 5 | [
0.0201416015625,
-0.012939453125,
0.019775390625,
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0.07568359375,
0.0269775390625,
0.0218505859375,
-0.07421875,
-0.08496... | 32,875 | 32875 | |
Unidentified Combinatorial Problem
up vote 6 down vote favorite
1
Given a (finite, simple, undirected) graph $\mathcal{G} = (V, E)$, an edge binning associates each $e_{ij} \in E$ with one or the other of its vertices $v_i, v_j \in V$. Let $c_i$ be the number of
edges associated with vertex $v_i$ in a given edge binni... | 4 | [
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0.02197265625,
0.054931640625,
0.052001953125,
... | 32,876 | 32876 | |
Next number in sequence problem/solving system of linear equations.
August 3rd 2011, 07:26 PM #1
Junior Member
Joined
Jul 2011
Posts
48
Next number in sequence problem/solving system of linear equations.
0 12 10 0 -12 -20
I calculate the differences, and find it's a 3rd degree polynomial.
An^3+... | 4 | [
-0.0869140625,
0.03662109375,
-0.0703125,
-0.09375,
-0.049072265625,
0.05859375,
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-0.0262451171875,
0.0201416015625,
0.022705078125,
0.07275390625,
0.01519775390625,
0.01214599609375,
-0.02099609375,
-0.027587890625,
0.03125,
-0.044189453125,
0.01092529296875,
0.0... | 32,877 | 32877 | |
Help with equations of lines.
March 13th 2011, 10:34 AM #1
Newbie
Joined
Nov 2010
Posts
8
Help with equations of lines.
can someone answers these please? These are the ones i got wrong on a test and i ant to know the write answers so i can do better
1. Write an equation for the line that has slope ... | 4 | [
-0.0869140625,
0.022216796875,
-0.028564453125,
-0.05126953125,
0.01171875,
0.05712890625,
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0.05078125,
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0.08154296875,
0.07470703125,
-0.004425048828125,
-0.024169921875,
0.0185546875,
-0.033935546875,
0.146484375,
-0.09716796875,
-0.01007080078... | 32,878 | 32878 | |
Equivalent Metrics
Define $\rho$ on $X \times X$ by
$\rho(x,y) = min(1,d(x,y)), \ \ \ \ \ \ \ \ \ \ x,y \in X$
Show that $\rho$ is a metric that is equivalent to d
My solution:
Two metrics are equivalent if and only if the convergent sequences in $(X,d)$ are the same as the convergent sequences i... | 5 | [
-0.03759765625,
-0.05517578125,
0.0263671875,
-0.06494140625,
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0.055908203125,
0.050537109375,
0.042236328125,
-0.04052734375,
0.0703125,
-0.0... | 32,879 | 32879 | |
Math Help
September 7th 2008, 11:14 AM #1
Member
Joined
Feb 2008
Posts
125
Assume that alpha: S-T, and beta: T-U, and gamma: T-U. Prove the following statement
If beta of alpha is invertible, then beta is onto and alpha is one-to-one
i might as well give a full solution. the proof for this is a... | 5 | [
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0.0286865234375,
-0.... | 32,880 | 32880 | |
Complex numbers and polar form
March 30th 2011, 04:25 AM #1
Junior Member
Joined
Mar 2011
Posts
27
Complex numbers and polar form
Let z = 3 - 3i. Express the following complex numbers in polar form.
(i) z
(ii) z^4
(iii) 1/z
With parts (ii) and (iii) of the question, would z be different ... | 5 | [
-0.06591796875,
0.0025787353515625,
-0.0223388671875,
0.045166015625,
-0.0712890625,
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-0.03125,
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0.0712890625,
-0.0269775390625,
-0.029541015625,
-0.04467773437... | 32,881 | 32881 | |
rooty problem
February 11th 2006, 03:52 AM #1
Junior Member
Joined
Feb 2006
From
United Kingdom
Posts
70
rooty problem
hello i have this:
Cuberoot[6*Sqrt[3]+10] - Cuberoot[6*Sqrt[3]-10] = x
i know x to be 2. but i want to be able to show this. i have tried cubing both sides but everything ju... | 5 | [
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... | 32,882 | 32882 | |
the encyclopedic entry of time worn
The Tower of Hanoi or Towers of Hanoi (also known as The Towers of Bramha) is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto
any rod. The puzzle starts with the disks neatly stacked in order of size on one rod, ... | 5 | [
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-0.021728515625,
-0.126953125,... | 32,883 | 32883 | |
2nd Order ODE
Any ideas how can I solve this equation f''=a*f^0.4? a=real number Thank you
I'm not certain on this but I did the following: http://latex.codecogs.com/gif.latex?f''(x)=af(x)^{0.4} http://latex.codecogs.com/gif.latex?...x)f(x)^{0.4}dx Dealing with each side of the equation
individually: [IMG]http://latex... | 5 | [
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-0.06396484375... | 32,884 | 32884 | |
Linear equation - Graphing - Cant find 2nd point
March 5th 2011, 07:32 PM
Dandonny
Linear equation - Graphing - Cant find 2nd point
Hey,
My problem is i have one point (2.15,1.1) in meters.
ive been told i want to find the other point/coordinate but i am unsure how to do so.
I know the gradient of m... | 4 | [
-0.09716796875,
-0.0390625,
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-0.0576171875,
0.0238037109375,
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0.059814453125,
0.02734375,
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0.078125,
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-0.0556640625,
-0.00... | 32,885 | 32885 | |
Computational & Applied Mathematics
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On-line version ISSN 1807-0302
Comput. Appl. Math. vol.31 no.1 São Carlos 2012
http://dx.doi.org/10.1590/S1807-03022012000100010
A block by block method with Romberg quadrature for the system of Urysohn type Volterra... | 5 | [
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0.060302734375,
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0.05322265625,
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0.019287109375,
-0.01129150390625,
0.080566406... | 32,886 | 32886 | |
Homework Help
Posted by Yuni on Wednesday, July 27, 2011 at 7:02am.
a liquid form of penicillin is sold in bulk at a price of $ 200 per unit.If the total cost for x unit is C(x)=500000+80x+0.003X^2 and the production capacity is at most 30000 at a specified timed,
how many of the penicillin must be manufactured and so... | 5 | [
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0.0244140625,
-0.0603027343... | 32,887 | 32887 | |
partial fractions help,
May 9th 2010, 07:41 AM #1
Super Member
Joined
Sep 2008
Posts
607
partial fractions help,
Express the following improper fractions as partial fractions.
$\frac{x^{3} - x^{2} - x -3}{x(x-1)}$
I know I am suppose to dive the numerator by the denominator, but I keep getting ... | 4 | [
-0.06787109375,
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0.02197265625,
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0.02734375,
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0.0252685546875,
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0.037353515625,
0.038330078125,
0.04931640625,
-0.031738... | 32,888 | 32888 | |
Homework Help
Posted by shone on Tuesday, April 2, 2013 at 6:21am.
A space aircraft is launched straight up.The aircraft motor provides a constant acceleration for 10 seconds,then the motor stops.The aircraft's altitude 15 seconds after launch is 2 km.ignore air
friction .what is the acceleration,maximum speed reached... | 5 | [
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-0.0169677734375... | 32,889 | 32889 | |
nid Help on determining A, B, C, and D T_T
September 29th 2006, 07:03 AM
^_^Engineer_Adam^_^
nid Help on determining A, B, C, and D T_T
6 = 2A + 4C
-15 = -9A + B - 12C + 4D
9 = 12A - 4B + 9C - 4D
3 = -4A + 4B - 2C + D
I just need any possible method to solve this problem
September 29th 2006, 07... | 4 | [
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0.018... | 32,890 | 32890 | |
Convolutions
April 20th 2011, 12:20 PM
davidmccormick
Convolutions
f(x) = e^-(x^2) and g(x) = e^-2(x^2).
Compute f*g (their convolution). Use it to show that if
h_t(x) = 1/(4 \pi t) e^{(-x^2)/4t}
we have h_t * h_s = h_(t+s)
My first thought was to take the Fourier transform of f and g - these ar... | 5 | [
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-0.0634765625,
0.01306152... | 32,891 | 32891 | |
A question on "finite speed propagation". Anwers provided but i don't understand it.
November 2nd 2008, 04:42 PM #1
Junior Member
Joined
Jun 2008
Posts
28
A question on "finite speed propagation". Anwers provided but i don't understand it.
Hi,
I have to prove the finite speed propagation property for... | 4 | [
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-0.101... | 32,892 | 32892 | |
Initial speed and time
February 4th 2011, 06:28 PM #1
Newbie
Joined
Aug 2010
Posts
8
Initial speed and time
OK, here's the problem: A ball (first ball) is dropped from rest from a height 20.0m above the ground. Another ball is thrown (second ball) vertically upward from the ground at the instant the
... | 4 | [
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0.030151367187... | 32,893 | 32893 | |
Surface Integrals of Flux
April 11th 2009, 12:07 PM #1
Junior Member
Joined
Mar 2009
Posts
32
Surface Integrals of Flux
Hi, am kinda having trouble figuring out the following problem? any help would be highly appreciated...
Evaluate S is given by S to have upward orientation.)
if $\vec F(x,y... | 4 | [
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-... | 32,894 | 32894 | |
Is a non-repeating and non-terminating decimal always an irrational?
January 29th 2013, 08:43 AM #1
Newbie
Joined
Jul 2012
From
India
Posts
6
We can build 1/33 like this, .030303..... (03 repeats). .030303.... tends to 1/33 .
So,I was wondering this: In the decimal representation, if we start writ... | 5 | [
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-0.01513671875,
0.037109375,
... | 32,895 | 32895 | |
Chance of pairs, rolling 5 dices simultaneously
November 23rd 2008, 09:22 AM #1
Newbie
Joined
Nov 2008
Posts
3
Hello all,
Can you please help me solve the following problem?
This is from A first course in probability by Seldon Ross 7th edition.
Chapter 2 Problem 16
Poker dice is played b... | 4 | [
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0.0126953125,
-0.0888671875,... | 32,896 | 32896 | |
Rate of appreciation: the rule?
November 23rd 2006, 11:44 PM #1
Newbie
Joined
Nov 2006
Posts
3
Rate of appreciation: the rule?
can anyone help me with a rule for rate of appreciation? I have a rule except i dont think im putting it into my calculator right i keep getting overally large numbers.
Thank... | 4 | [
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-0.07421875,
-0.0312... | 32,897 | 32897 | |
Math Help
November 1st 2012, 12:30 PM #1
Member
Joined
Aug 2012
From
north carolina
Posts
107
optimization
a rectangular storage container with an open top is to have a volume of 10 cubic meters. the length of its base is twice the width. material for the base costs $10 per square meter. material fo... | 5 | [
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0.10302734... | 32,898 | 32898 | |
rate of change
May 1st 2007, 08:14 AM #1
Hey All,
how do determine the position and nature (i.e minimum, maximum or saddle point) of the stationary points of the function.
f(x,y)=x^2 - 4xy + y^3 + 4y
this is what I have done so far
dz/dx= 2x-4y
dz/dy=-4x+3y^2+4
d^2z/dxdy=-4
how do ... | 5 | [
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0.002532958984375,
... | 32,899 | 32899 |