content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cranking out motor size
Consider a motor application that requires a continuous torque T of 0.003 N-m at 5,000 rpm, with both factors referred to the motor shaft. The available power supply voltage is 12 Vdc with maximum
allowable steady-state current I of 0.5 A.
First, calculate the required torque constant Kt using ... | 5 | [
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0.109375,
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0.08837890625,
... | 34,000 | 34000 | |
Factoring binomials
Step 3: Factoring binomials
Binomials are expressions with only two terms being added.
2x^^2 - 4x is an example of a binomial. (You can say that a negative 4x is being added to 2x^2.)
First, factor out the GCF, 2x. You're left with 2x (x - 2). This is as far as this binomial can go. Any binomial ... | 4 | [
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0.0546875,
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0... | 34,001 | 34001 | |
Sum of n positive integers formula for consecutive integers?
bschoolaspirant9 wrote:
Is the sum of n positive integers formula, \frac{n(n+1)}{2}, applicable to sets of consecutive integers as well?
For instance, if I wanted to calculate sum of first 20 multiples of 3, could I use: 3 x \frac{20(21)}{2}
In OG PS Q172,... | 4 | [
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... | 34,002 | 34002 | |
Proving the definition of the integral
February 7th 2010, 07:59 AM
paupsers
Proving the definition of the integral
Suppose $f \in R[0, \pi]$. Prove that the sequence
$a_{n}=\frac{\pi}{n}\sum f(\frac{k\pi}{n})$
converges to $\int f$.
Note that the sum is from k=1 to n, and the integral is from 0 to... | 4 | [
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External rays for primary bulbs
In [1] Devaney give some statements about external rays for primary bulbs (tangent to the main cardioid).
Remind that a bulb B[p/q] consists of c-values for which the quadratic map has an attracting q-cycle. The root point of this bulb is the landing point of exactly 2 M-rays, and the a... | 4 | [
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... | 34,004 | 34004 | |
damped vibration problem.
May 18th 2010, 08:25 PM #1
Junior Member
Joined
Nov 2008
Posts
29
damped vibration problem.
Assume that the gravitational acceleration is g = 10 m/sec^2. A mass of 2 kg stretches an elastic spring 10m. The mass is also attached to a viscous damper with a damping constant of 1 N ... | 4 | [
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0.058105... | 34,005 | 34005 | |
Find the radius & co-ordinates of the centre of the circle
May 23rd 2009, 05:06 AM
Maths_noob
Find the radius & co-ordinates of the centre of the circle
Hello, This is my first post so please be nice (Hi)
Find the radius & co-ordinates of the centre of the circle for the following
x^2 + y^2 - 4x - 6y = ... | 4 | [
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-0.03... | 34,006 | 34006 | |
integral a la the Kriz way.
June 22nd 2008, 07:35 AM #1
integral a la the Kriz way.
Here is an integral from the site that isomorphism posted. I thought I would try my hand at this one using Kriz's double integration technique.
$\int_{0}^{1}\frac{ln(x)}{1+x}dx=\frac{-{\pi}^{2}}{12}$
We know that $ln(x)=... | 5 | [
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Homework Help
Posted by bryan on Sunday, February 3, 2013 at 12:28pm.
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/
s, how fast is the boat approaching the dock when... | 5 | [
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Arithmetic series question
January 31st 2009, 11:35 PM #1
Newbie
Joined
Feb 2008
Posts
20
Arithmetic series question
1. In an arithmetic series, three consecutive terms have a sum of -9 and a product of 48. Find the possible values of these terms.
I really cant figure it out. I tries using the Sum o... | 4 | [
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Basis and Determinant Proof
July 11th 2011, 09:29 PM #1
Newbie
Joined
Jul 2011
Posts
1
Basis and Determinant Proof
Let β={u1, u2, ... , un} be a subset of F^n containing n distinct vectors and let B be an nxn matrix in F having uj as column j.
Prove that β is a basis for Fn if and only if det(B)≠0.
... | 4 | [
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Find zeroes of this function (difficult)
October 30th 2008, 09:53 AM #1
Member
Joined
May 2008
Posts
112
Find zeroes of this function (difficult)
Find the zeros of function
f(x) = x^2(2e^2x) + 2xe^2x + e^2x + 2xe^2x)
Attached is what I got. Is it correct?
Note that $e^{2x}eq0~\forall~x\in\m... | 4 | [
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problems about piecewise function and integration
On Programmer » Matlab
6,141 words with 5 Comments; publish: Sat, 10 May 2008 01:48:00 GMT; (20078.13, « »)
Hello my friends,
I am trying to calculate the integral of piecewise function, such as
triangular function and rectangular function. Firstly, plz tell me
wh... | 5 | [
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diagonalising a 3x3 matrix
August 12th 2008, 05:55 AM #1
Newbie
Joined
Aug 2008
Posts
22
diagonalising a 3x3 matrix
im really struggling with this problem, i keep getting so far and then hitting a brick wall,
the question asks: diagonalise the matrix B=
[0 1 1]
[0 2 2]
[0 0 3]
in othe... | 5 | [
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Higher moments of normal distribution
Sometimes a little bit of Python beats a Google search.
Last week I needed to look up the moments of a normal distribution. The first two moments are common knowledge, the next two are easy to find, but I wasn’t able to find the higher moments.
Here is a little Sage code that pr... | 5 | [
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Linear system
October 19th 2008, 01:21 AM #1
Newbie
Joined
Sep 2008
Posts
23
Linear system
Let A be m x n, (m<n) and of full rank (ie rank(A) = m). Then, the linear system Ax = b has infinite many solutions. Acutally, the general solution depends on n - m arbitrary parameters. How do
you find the uni... | 4 | [
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0.045410... | 34,015 | 34015 | |
Rewriting an equation into the form of Sin(a+b)
How do I rewrite y = sinx + (sqrt(3))*(cosx) into the form of sinx(a+b)?
$y=sin x+\sqrt{3}cos x$ $y=2(\frac{1}{2}sin x+\frac{\sqrt 3}{2}cos x)$ $y=2(sin 60 cos x + cos 60 sin x)$ $y=2sin (x+60)$
In general, if you have Asin(x)+ Bcos(x) you can write it as either a sine ... | 4 | [
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Homework Help
Posted by jonathan on Monday, September 3, 2012 at 11:10pm.
m is the midpoint of segment jk. jm=x/8 and jk=3x/4 subtracted by 6. find mk
• ap geometry - Steve, Tuesday, September 4, 2012 at 12:11am
if m is the midpoint, jm = mk, so
x/8 = 3x/4 - 6
x = 48/5
jm = mk = 6/5
• ap geome... | 4 | [
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I can't solve this easy question ?
You can't cancel out like that. Remember that $\csc(x) = \frac{1}{\sin(x)}$ Therefore, try this: $\frac{\sin(x) + \cos^2(x)}{\sin(x)} = \csc(x)$ $\sin(x) + \cos^2(x) = \frac{1}{\sin(x)} \times \sin
(x)$ $\sin(x) + \cos^2(x) = 1$ Now, remember that $sin^2(x) + cos^2(x) = 1$. You can us... | 4 | [
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Homework Help
Posted by Gweedo8 on Thursday, June 18, 2009 at 2:15pm.
(L2bar/mol2) (L/mol)
Acetylene 4.448 0.05136
Calculate the difference in pressure (in atm) when 100.0g of acetylene acts as an ideal gas versus as a real gas in a 100L tank at a temperature of 1000K.
• chemistry - Gweedo8, Thursday, June 18, 20... | 4 | [
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... | 34,019 | 34019 | |
Angle between line and plane
August 25th 2012, 09:13 AM
alexander9408
Angle between line and plane
1. l:r = 2i – 3j + 5k + t ( i – j – k ), point P(0,-1,7) lies on the line l. The angle between OP and the line l.
2. Point A(1,4,-3), B(5,6,-1) and C(-3,1,2). The plane π contains points A, B and C. Find the a... | 4 | [
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-0.075683593... | 34,020 | 34020 | |
Homework Help
Posted by Lucia on Wednesday, October 3, 2012 at 7:17am.
The position of a particle moves along the equation X = Vo/K (1 - e^(-KT))
Vo and K are constants
a)determine the total distance that the particle moves
b) Show that the aceleration is derived from the velocity
c) Reason how it could take an in... | 5 | [
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... | 34,021 | 34021 | |
Tough vectors question...
February 7th 2011, 10:39 PM #1
Member
Joined
Mar 2008
From
???
Posts
169
Tough vectors question...
Let r be a postition vector of a viariable point in cartesian plane OXY such that
r.(10j - 8i - r/|r| ) = 40 and p1 = max{(|r + 2i - 3j|)^2} , p2 = min{(|r + 2i - 3j|)^2}
... | 5 | [
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Derivative of a function!
March 13th 2007, 02:22 PM
coolaid2u
Derivative of a function!
How would you find the derivative for these three problems?? I end up with different answers each time I do them.
y= (4x^2+7)^2 * (3x^3+1)^4
y= (2x)^(1/2) + (2/x)^(1/2)
y= (x^2-5)^(1/2) * (x^2+3)^(1/3)
I'd... | 5 | [
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[Complex plane] arg[(z+i)/(z-1)] = pi/2
timon
I don't see how you got that. Ive spent another hour just know writing down nonsense without getting anywhere :( From there on i understand it until you magicly go from the polar plot to the circle
which i don't recognize as a circle to be perfectly honest. :(
We starte... | 5 | [
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X and Y
Suppose that x/y= 4/7 And that y/z=14/3 What is the value of x+y/z Express your answer as a common fraction.
Hello, Dragon! Quote: Suppose that: $\frac{x}{y} = \frac{4}{7}$ and $\frac{y}{z} = \frac{14}{3}$ What is the value of $\frac{x + y}{z}$ ? Multiply the two equations: . $\frac{x}{y}\cdot\frac{y}{z}\:=
\:... | 4 | [
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Surface integral computation
January 10th 2012, 10:21 AM #1
Senior Member
Joined
Feb 2008
Posts
410
Surface integral computation
Okay, so this is a step in the proof to Liouville's theorem, and it comes from Fritz John's Partial Differential Equations 4th ed (p109, sec. 4.3). The problem is, it requires ... | 5 | [
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0.036865234375,
-0.052490234375,
-0.063964... | 34,026 | 34026 | |
Homework Help
Posted by Kent on Thursday, June 18, 2009 at 10:47am.
How do i factor?
a)5a^2b+ab^2
b)9k^2-1
c)2y^2-5y+2
If i can get an idea how to do these and i work the rest i have to do myself, thanks
• math - Reiny, Thursday, June 18, 2009 at 11:34am
The first is a simple case of "common factoring"
... | 4 | [
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0.0036926... | 34,027 | 34027 | |
Solve this nonlinear differential equation
March 24th 2012, 03:07 AM #1
Member
Joined
Feb 2009
Posts
103
Solve this nonlinear differential equation
Hi, I'd like to solve the following differential equation to find $y$ as a function of $x$ (in fact I know what the answer should be due to the context, but ... | 5 | [
-0.05078125,
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0.03125,
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0.1015625,
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0.033447265625,
-0.... | 34,028 | 34028 | |
algebra - more help please
Posted by Sushmitha on Saturday, October 29, 2011 at 9:45pm.
A thermometer reading 7 degrees C is brought into a room with a constant temperature of 29 degrees C.
If the thermometer reads 15 degrees C after 4 minutes, what will it read in 6 minutes? 11 minutes?
So I guess I need to put int... | 4 | [
0.000698089599609375,
0.08251953125,
0.021484375,
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0.033935546875,
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0.044921875,
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... | 34,029 | 34029 | |
Rydberg Equation
Johan Rydberg(1854-1919)
As a Swedish mathematician, Rydberg analyzed many atomic spectra in an attempt to understand the periodic system of the elements. He eventually developed what has become known as the Ryd... | 4 | [
-0.035888671875,
0.0654296875,
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-0.03271484375,
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0.08251953125,
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0.0032501220703125,... | 34,030 | 34030 | |
A Combined Mathematical Treatment for a Special Automatic Music Transcription System
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 302958, 13 pages
http://dx.doi.org/10.1155/2012/302958
Research Article
A Combined Mathematical Treatment for a Special Automatic Music Transcription System
College of Aut... | 4 | [
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0.0220947265625,
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0.07470703125,
... | 34,031 | 34031 | |
ti
┏━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
┃ I... | 4 | [
0.0255126953125,
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0.017578125,
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0.03198... | 34,032 | 34032 | |
Binomial Theorem?
February 9th 2009, 06:24 AM #1
Binomial Theorem?
Prove that:
(n!m!)/(m + n)! = (nC1)/(m + 1) - 2.(nC2)/(m + 2) + 3.(nC3)/(m + 3) - ... + (-1)^(n+1)n.(nCn)/(m + n)
NOTE: nC1 means n choose 1. I struggled with latex so I had to eventually use this notation.
Last edited by fardeen_ge... | 5 | [
0.0255126953125,
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0.04... | 34,033 | 34033 | |
odd line
Context
Super-Geometry
and
Formal context
Superalgebra
Supergeometry
Structures
Applications
Contents
Definition
The odd line is the supermanifold $\mathbb{R}^{0|1}$ – a super Cartesian space and in particular a superpoint – characterized by the fact that its $\mathbb{Z}_2$-graded algebra of function... | 4 | [
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... | 34,034 | 34034 | |
mortgage
June 16th 2011, 08:17 PM
reallylongnickname
mortgage
Paula has bought a condo and requires a mortgage of $95,000. A trust company offers her a 20yr mortgage at 4.72%/a compounded semi-annually. The equivalent monthly rate is determined to be
0.003895204.
Q. a) Calculate the monthly payment.
... | 4 | [
0.05078125,
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0.01129150390625,
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0.03759765625,
-0.0576171875,
-0.00122070312... | 34,035 | 34035 | |
Gravitational wave
Talk0
767pages on
this wiki
In physics, a gravitational wave is a fluctuation in the curvature of spacetime which propagates as a wave, traveling outward from a moving object or system of objects. Gravitational radiation is the
energy transported by these waves. Important examples of systems which... | 4 | [
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0.07666015625,
-0.051513671875,... | 34,036 | 34036 | |
Homework Help
Posted by dimitra on Monday, April 2, 2012 at 12:07am.
dole pineapple inc. is concerned that the 16 ounce cans are overfilled. assume the standard deviation is .03 onces. a random sample of 50 cans has a mean weight of 16.05 ounces. at the 5% level of
significance can we conclude that the mean weight is ... | 4 | [
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-0.0390625,... | 34,037 | 34037 | |
Bohlen-Pierce Site: BP Scale Structures
The Bohlen-Pierce Site
BP Scale Structures
... | 4 | [
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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/S1807-03022012000100005
Sharpness of Muqattash-Yahdi problem
Chao-Ping Chen^I; Cristinel Mortici^II, ^*
^ISch... | 5 | [
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0.0093994140625,
0.03979492... | 34,039 | 34039 | |
[SOLVED] Exponential models
September 6th 2007, 07:35 AM
friend37866
[SOLVED] Exponential models
The temperature in a room is 21 degrees Celsius. A thermometer which has been kept in it is placed outside. After 5 minutes the thermometer reading is 16 Celsius. Five minutes later, it is 13
Celsius. Find the ou... | 4 | [
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-0.052734375,
... | 34,040 | 34040 | |
Existence and Uniqueness Theorem (Help)
November 12th 2010, 03:40 AM #1
Junior Member
Joined
Mar 2010
Posts
62
Existence and Uniqueness Theorem (Help)
Let $f(t,x)=1-x.sin(t)$, for $(t,x) \in \mathbb{R}^2$.
(a)Show that $f$ satisfies a Lipschitz condition on $\mathbb{R}^2$ with respect to $x$. (Solved... | 5 | [
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-0.06396484375,
-0.005035400390625,
-0.0021209716796875,
0.00909423828125,
-0.127... | 34,041 | 34041 | |
Homework Help
Posted by Anonymous on Friday, November 30, 2012 at 9:58am.
Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (11, –15) and (16, 5)
• algebra 2 - Reiny, Friday, November 30, 2012 at 10:24am
slope = (5 -(-15))/(16-11) = 20/5 = 4
so ... | 4 | [
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0.14453125,
-0.09228515625,
-0.009033203125... | 34,042 | 34042 | |
The base of a solid
November 5th 2007, 12:36 AM
keith
The base of a solid
The problem states: The base of a solid is the region bounded by the parabolas y=x^2 and y=2-x^2. Find the volume of the solid if the cross-section perpendicular to the x-axis are squares with
one side lying along the base.
Here i... | 5 | [
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0.021728515625,
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... | 34,043 | 34043 | |
Homework Help
Posted by JOHN on Friday, November 8, 2013 at 11:56pm.
1) Two boats leave the same port at the same time. One travels at a speed of 27 mi/h in the direction N 50° E and the other travels at a speed of 22 mi/h in a direction S 70° E (see the figure). How
far apart are the two boats after one hour? (Round ... | 4 | [
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0.0... | 34,044 | 34044 | |
inverse functions
November 22nd 2009, 03:20 PM #1
Newbie
Joined
Nov 2009
Posts
9
inverse functions
i need to find the inverse of f(x) = x^2-4x+3 how do you do it when you have x^2 and x?
Y=x^2-4x+3 => x^2-4x+3-y=0
delta'=4-3+y=1+y
=> x1=2+squareroot(1+y)
and x2=2-squareroot(1-y)
t... | 4 | [
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0.0517578125,
0.0125732421875,
... | 34,045 | 34045 | |
computing area
January 28th 2007, 10:32 AM
braddy
computing area
Hi,
I have this problem:
the surfaces r=2 and 4, $\theta=$30 degrees and 50 degrees, $\phi=$20 degrees and 60 degrees identify a closed surface.
1- find the enclosed volume.
2- Find the total area of the enclosed surface. ( I think ... | 4 | [
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0... | 34,046 | 34046 | |
Homework Help
Posted by Anonymous on Sunday, November 18, 2007 at 12:46am.
At what point(s) does the curve defined by x^2-6x=6-6y^2 have horizontal tangents?
I took the derivative and solved for y'. I got y'=-1/6x/y+1/2y. hmm...what am I suppose to do?
• Calculus - Reiny, Sunday, November 18, 2007 at 1:24am
l... | 4 | [
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0.0137939453125,
0.080078125,
-0.1279296875,
-0.0332031... | 34,047 | 34047 | |
Reciprocal Lattice
The Reciprocal Lattice
Introduction
In the introduction to crystal symmetry I have shown that a crystal consists of a periodic arrangement of the unit cell (filled with the motif and its symmetry generated equivalents), into a lattice.
In the same fashion we can define the reciprocal lattice, whose... | 4 | [
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0.008850... | 34,048 | 34048 | |
central limit theorem problem 2, is this right?
November 21st 2010, 10:53 AM #1
Senior Member
Joined
Sep 2009
Posts
299
central limit theorem problem 2, is this right?
Suppose the time in days until a component fails has the gamma distribution with alpha=5 and theta = 1/10. When a component fails, it get... | 5 | [
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-0.1049804... | 34,049 | 34049 | |
Frequency problem
August 21st 2009, 10:51 PM #1
Junior Member
Joined
Jun 2009
Posts
35
Frequency problem
1. An ice-cream manufacturing company has developed a new flavour of ice-cream. In order to gather feedback on the new flavour, they conducted a taste test. Each person was asked to rate the
taste... | 4 | [
0.051025390625,
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0.06884765625,... | 34,050 | 34050 | |
Homework Help
Posted by Nicole on Thursday, April 7, 2011 at 7:18pm.
An architect is designing a public storage building with 2 different sized storage units the ceilings are 8 feet high in each storage unit
a. All storage units have square floors the volume will be 1800 what are the dimensions of each small unit
b.... | 4 | [
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A divisibility problem
Hint - Consider/compare the power of any prime, p, in the expansion of $(k!)^{k^2+k+1}$ and $(k^3)!$
Last edited by aman_cc; August 18th 2010 at 12:30 AM.
Let $L_p(m)$ and $N_p(m)$ be the max. power of prime $p$ dividing $m$ and $m!$ respectively , then we need to show that $N_p(k^3) \geq (k^2 ... | 5 | [
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0.09033203125,
0.1... | 34,052 | 34052 | |
Brazilian Journal of Physics
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Print version ISSN 0103-9733
Braz. J. Phys. vol.35 no.2a São Paulo June 2005
http://dx.doi.org/10.1590/S0103-97332005000200020
Determinism and a supersymmetric classical model of quantum fields
Hans-Thomas Elze
Dipartiment... | 4 | [
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... | 34,053 | 34053 | |
Control for Stochastic Systems with Markovian Jumping Parameters and Random Packet Losses
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 934134, 8 pages
http://dx.doi.org/10.1155/2014/934134
Research Article
Nonfragile Control for Stochastic Systems with Markovian Jumping Parameters and Random Packet L... | 4 | [
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-0.07763671875,
0.06591796875,
-0.0157470703125,
-0.03... | 34,054 | 34054 | |
Homework Help
Posted by sai on Friday, January 6, 2012 at 1:03pm.
You are conducting an experiment to see if a given therapy works to reduce test
anxiety in a sample of college students. A standard measure of test anxiety is known to
produce a = 19. In the sample you draw of 86 the mean is equal 17.5 with standard
... | 4 | [
0.099609375,
0.04150390625,
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0.048583984375,
-0.0189... | 34,055 | 34055 | |
Let w be a complex number with 0 < |w| < 1. Show that the set of all z...
September 28th 2009, 11:13 AM #1
Junior Member
Joined
Mar 2009
Posts
33
Let w be a complex number with 0 < |w| < 1. Show that the set of all z...
Let w be a complex number with 0 < |w| < 1. Show that the set of all z with these pro... | 4 | [
-0.058349609375,
0.06396484375,
-0.0216064453125,
0.06640625,
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0.05712890625,
0.056640625,
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0.0986328125,
0.04443359375,
-0.06298828125,
-0.029052734375,
-0.0419921875,
-0.1064453125,
... | 34,056 | 34056 | |
م
The Laboratory FrameThe nucleon-nucleon center-of-mass frame is ideal for deriving the relations between spin observables and the interaction matrix, but it is not always a useful way to conduct
experiments. Interm... | 5 | [
-0.05322265625,
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0.0615234375... | 34,057 | 34057 | |
finding volume of a shape
September 24th 2008, 08:34 PM #1
Newbie
Joined
May 2008
Posts
13
finding volume of a shape
I need to find the volume of a solid.
between the curve y = sec^(-1)(x) and the x-axis from x=1 and x=2 revolved around the y-axis.
using both the slicing method and cylindrical sh... | 5 | [
0.00970458984375,
-0.02197265625,
0.0693359375,
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0.049072265625,
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0.01068115234375,
0.05615234375,
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0.0029144287109375,
0.08251953125,
-0.0181884765625,
-0.12158203125,
0.05493164... | 34,058 | 34058 | |
Posts by
Total # Posts: 501
physics
Two blocks are connected by a lightweight, flexible cord that passes over a frictionless pulley. If m1 = 3.8 kg and m2 = 9.2 kg, and block 2 is initially at rest 140 cm above the floor, how long does
it take block 2 to reach the floor?
Calc 3
thank you!!!!!!
Calc 3
Use the Chain ... | 5 | [
-0.048583984375,
0.07275390625,
0.0123291015625,
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0.02978515625,
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-0.028564453125,
... | 34,059 | 34059 | |
Find all three digit even numbers N such that 693 times N is a perfect square.
May 24th 2008, 08:07 PM #1
Newbie
Joined
May 2008
Posts
2
Find all three digit even numbers N such that 693 times N is a perfect square.
I have no idea how to go about this?
Please help urgently!
First of all obs... | 4 | [
0.06982421875,
0.049560546875,
-0.0299072265625,
0.04443359375,
0.01483154296875,
0.109375,
-0.00311279296875,
-0.0078125,
-0.0732421875,
-0.05126953125,
-0.03125,
0.0830078125,
-0.00433349609375,
-0.028076171875,
-0.0025482177734375,
-0.08251953125,
-0.01348876953125,
0.0522460937... | 34,060 | 34060 | |
Calculus Problem
Posted by Confused on Friday, February 15, 2013 at 11:29pm.
I need to find the integral of e^(2x)sin(3x)
I used integration by parts and I let u=e^2x and dv=sin(3x)
My final answer was (-3/8)(e^(2x))(cos(3x)) - (1/8)(e^(2x))(sin(3x)) but it's wrong. Please help!!
• Calculus Problem - Reiny, Satur... | 5 | [
-0.021484375,
0.029052734375,
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0.01165771484375,
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-0.0174560546875,
0.02111816... | 34,061 | 34061 | |
Find area of inner curve polar equation
January 19th 2014, 05:51 PM #1
Junior Member
Joined
Oct 2013
From
Singapore
Posts
57
Thanks
9
Find area of inner curve polar equation
Hi everyone again! My question is as follows in full:
Sketch $r=3-5 \cos {theta}$ and find the area of the inner curve... | 5 | [
-0.04150390625,
-0.08984375,
-0.046875,
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0.08056640625,
0.0257568359375,
0.0157470703125,
0.035888671875,
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-0.0030059814453125,
0.10302734375,
0.056640625,
0.037353515625,
-0.060546875,
-0.0419921875,... | 34,062 | 34062 | |
Homework Help
Posted by Candice on Friday, December 9, 2011 at 9:46pm.
What is the area of the minor segment cut off a circle of radius 10 cm by a chord of length 12 cm?
Could you please show me the working out for this question?
The answer in the textbook is 16 sq cm.
Thanks!!!
• Maths - Reiny, Friday, December... | 4 | [
0.01177978515625,
0.12158203125,
-0.02978515625,
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0... | 34,063 | 34063 | |
High School Math-Physics SMILE Meeting
05 February 2002
Notes Prepared by Porter Johnson
Announcements
• The Chicago Regional Bridge Building Contest will be held in the Hermann Union Building [HUB] Auditorium for our next meeting, Tuesday 19 February 2002, beginning at 4 pm. Please check the
website [http:/... | 5 | [
-0.07470703125,
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0.... | 34,064 | 34064 | |
Unlawful primes
GROUPS:
How small can a description of a large prime number be? There are the Fermat primes 2^n-1 for certain n, and in base 2 these are a sequence of ones. In base 10, if you have just zeros and two ones,
then the only primes of that form are 11 and 101. If there are three ones then... | 4 | [
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0.0517578125,
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-0.0078125,
-0.034... | 34,065 | 34065 | |
Rabin-Miller primality test implementation
February 21st, 2009 at 12:19 pm
Here’s a fairly efficient Python (2.5) and well-documented implementation of the Rabin-Miller primality test, based on section 33.8 in CLR’s Introduction to Algorithms. Due to Python’s built-in
arbitrary precision arithmetic, this works for num... | 4 | [
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0.006011962890625,
... | 34,066 | 34066 | |
2 questions
October 17th 2006, 01:04 AM #1
Senior Member
Joined
Jul 2006
Posts
364
2 questions
The first is a problem:
A casserole is removed from the oven and placed on a bench in the kitchen. The casserole's rate of cooling is proportional to the difference between its temperature and the temperatu... | 5 | [
0.01806640625,
0.0849609375,
0.03759765625,
0.01171875,
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0.054931640625,
0.01531982421875,
0.061279296875,
0.0262451171875,
-0.12890625,
0.03857421875,
0.002532958984375,
-0.037109375,
-0.09619140625,
-0.01025390625,
0.01263427734... | 34,067 | 34067 | |
Homework Help
Math - Reiny, Tuesday, December 4, 2012 at 5:14pm
You can take the cross-product if you have two vectors, but you only have one
so how about this ...
let the vector be (a,b,c)
then we know that (a,b,c)dot(1,5,2) = 0
a + 5b + 2c = 0
pick any value for any variable,
e.g.
let b = -1 , c = 2
a - 5 + 4 = 0
... | 4 | [
-0.07275390625,
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0.030517578125,
-0.0849609375,
0.00... | 34,068 | 34068 | |
Posts by
Total # Posts: 43
Chemistry
A small hole in the wing of a space shuttle requires a 12.8cm^2 patch. What is the patch's area in square kilometers (km^2)? if the patching material costs NASA 3.21/in^2, what is the cost of the
patch?
College Physics
An electron travels at a speed of 0.700c. What is its kinetic... | 5 | [
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0.03564453125,
-... | 34,069 | 34069 | |
Math Help
June 16th 2011, 08:17 PM #1
Junior Member
Joined
Mar 2011
Posts
34
mortgage
Paula has bought a condo and requires a mortgage of $95,000. A trust company offers her a 20yr mortgage at 4.72%/a compounded semi-annually. The equivalent monthly rate is determined to be
0.003895204.
Q. a) C... | 4 | [
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-0.0003948211669921875,
-0.046... | 34,070 | 34070 | |
Unsolvable Fricton Problem
November 23rd 2006, 06:36 AM #16
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
It is a civil engineering class.
Actually, I've noted Mathematicians using this one too. They simply redefine the problem into one they know how to solve.
... | 5 | [
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0.03564453125,
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0.0... | 34,071 | 34071 | |
Latin American Journal of Solids and Structures
Services on Demand
Article
Indicators
Related links
Share
On-line version ISSN 1679-7825
Lat. Am. j. solids struct. vol.9 no.1 Rio de Janeiro 2012
http://dx.doi.org/10.1590/S1679-78252012000100006
... | 4 | [
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0.01513671875,
0.069824... | 34,072 | 34072 | |
Loop subdivision spline surface
N0 ≤ N ≤ 7
CMesh
points
points < 65000
Interactive Loop subdivision spline surface. Use your fingers or mouse to control the model (hold shift key or use mouse wheel to zoom it). Canvas is matched to your browser window. We need N = 6
subdivisions to get smooth light reflex.
Loop ... | 4 | [
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0.004058837890625,
-0.041015625,
0.09130859375,
-0.06347656... | 34,073 | 34073 | |
Calc problem
Posted by Holly on Saturday, February 23, 2008 at 5:43pm.
Consider the function y=(kx)/(x-k)
a. Show that y is symmetric with respect to the line y=x.
b. Write the equations of the horizontal and vertical asymptotes of y.
c. Find the point(s) of intersection of y with the line x-y=-2k, and find the slo... | 5 | [
-0.0693359375,
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0.1005859375,
-0.0120849609375,... | 34,074 | 34074 | |
area between curves
April 17th 2005, 06:20 AM
Boo720
area between curves
Can anyone help me out with this problem? Find the area of the triangle with the vertices A(0,1), B(-3,-2), and C(-4,4). Any pointers would be greatly appreciated.
April 17th 2005, 09:22 AM
MathGuru
The triangle you are finding is ma... | 4 | [
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0.0274658203125,
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-0.052734375,... | 34,075 | 34075 | |
finding the value of x
January 4th 2009, 11:44 AM #1
Newbie
Joined
Jan 2009
Posts
10
An open rectangular tank of height h metres with a square base of side x metres is to be constructed so that it has a capacity of 500 cubic metres. Prove that the surface area of the four walls
and the base will be
... | 4 | [
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0.0625,
0.040771484375,
0.01470947265625,
-0.07... | 34,076 | 34076 | |
Homework Help
Posted by asaereay on Friday, November 2, 2012 at 8:15am.
find the equation of the tangent line to f(x)=square root x passing through (-4,0)
• AP Calc. - Reiny, Friday, November 2, 2012 at 8:26am
y = √x = x^(1/2)
dy/dx = (1/2)x^(-1/2) = 1/(2√x)
so at (-4,0), dy/dx = 1/2√-4 ----> undefine... | 4 | [
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0.07763671875,
-0.06591796875,
-0.09619... | 34,077 | 34077 | |
Quick question on colomun space
January 21st 2007, 08:42 AM #1
Newbie
Joined
Jan 2007
Posts
8
Quick question on colomun space
I have the matrix A:
1 2 3 4 5
2 5 -1 0 -2
5 11 8 12 13
2 3 13 13 16
I found the basis for the row space:
1 2 2
2 5 3
3 -1 13
4 0 13
5, -2,... | 5 | [
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0.00567626953125,
-0.06542968... | 34,078 | 34078 | |
The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications
International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 540710, 13 pages
http://dx.doi.org/10.1155/2012/540710
Research Article
The Monotonicity Results for the Ratio of Certain Mixed Means and T... | 5 | [
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0.029052734375,
-0.0038909912109375,
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-0.0244140625,
-0.031127929... | 34,079 | 34079 | |
Fractals and Hidden Symmetries in DNA
Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 507056, 31 pages
http://dx.doi.org/10.1155/2010/507056
Research Article
Fractals and Hidden Symmetries in DNA
Department of Pharmaceutical Sciences, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, ... | 4 | [
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0.00793... | 34,080 | 34080 | |
2 convergence in distribution questions
September 27th 2008, 08:19 PM
yui
2 convergence in distribution questions
First one:
Suppose $X_n \sim Bin(n, p)$. Show that as $n \rightarrow \infty$
$<br /> \frac{X^2_n - n^2 p^2}{2(pn)^\frac{3}{2} \sqrt{1-p})} \stackrel{D}{\rightarrow} Z \sim N(0,1)<br />$
I... | 5 | [
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-0.03662109375,
0.005828857... | 34,081 | 34081 | |
Integration: Area under curves
April 27th 2010, 12:59 AM #1
Newbie
Joined
Apr 2010
Posts
21
Integration: Area under curves
Set up but do not evaluate the an integral for the volume of the solid obtained by rotating the region bounded by the given curves about specified axis
1. x^2 -y^2 =7 , x=4 abou... | 4 | [
0.00830078125,
-0.042724609375,
0.00823974609375,
-0.04736328125,
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-0.0157470703125,
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0.021240234375,
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-0.031005859375,
0.05859375,
-0.0693359375,
0.032470703125,
-0.0322265625,
-... | 34,082 | 34082 | |
another integral
$\int_{3}^{4} \frac{x^{\frac{1}{7}}}{(7-x)^{\frac{1}{7}} + x^{\frac{1}{7}}} \ dx$ It's extremely simple if you spot the trick (which I didn't).
Let $I_1=\int_3^4\frac{\left(7-x\right)^{\frac{1}{7}}+x^{\frac{1}{7}}}{\left(7-x\right)^{\frac{1}{7}}+x^{\frac{1}{7}}}\,dx=4-3=1$. Now, $I_2=\int_3^4\frac{x^{... | 5 | [
0.046630859375,
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-0.07373046875,
-... | 34,083 | 34083 | |
Posts by
Total # Posts: 10,590
Chemistry
One mole of HCl is required to prepare 1 L of 1N solution. Calculate number of moles (n) required to prepare 200/1000 L of 0.5N solution. Find molecular mass M of HCl in g mass of pure HCl required =
nM g Volume of given acid required = nM ÷ (1.18*0.37) g÷(g/mL)
physics
What ... | 5 | [
-0.03125,
0.01190185546875,
0.03125,
-0.005340576171875,
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0.111328125,
0.00360107421875,
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0.051025390625,
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-0.00897216796875,
-0.046875,
0.06591796875,
-0.0498046875,
-0.0019302368... | 34,084 | 34084 | |
05 Inter-atomic Distances
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Chapter V
Inter-atomic Distances
Within the time region the force which the atoms of matter exert upon each other because of their rotational velocities acts in the same natural direction as the gravitational force in the time-space
region; that is, towar... | 4 | [
-0.017578125,
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0.037841796875,
-0.0... | 34,085 | 34085 | |
Pattern Formation in a Bacterial Colony Model
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 149801, 10 pages
http://dx.doi.org/10.1155/2014/149801
Research Article
Pattern Formation in a Bacterial Colony Model
^1School of Mathematics, Wenzhou University, Wenzhou 325000, China
^2Chengdu Institute of Co... | 5 | [
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-0.0... | 34,086 | 34086 | |
Tension Problem
The weight of a crate is 566 newtons. Find the tension in each of the supporting cables shown in the figure.
The Newton is the unit used for Force and is equivalent to the force required to give a mass of 1 kg an acceleration of 1 ms^-2. We are going to calculate the tension force in newtons that exist... | 5 | [
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-0... | 34,087 | 34087 | |
quarters and dimes
December 22nd 2006, 08:29 PM #1
Member
Joined
Sep 2006
Posts
99
quarters and dimes
This is hard to visualize because quarters is 25 cents and dimes is 10 cents. I can't figure this out. Please help.
A student has $6.80 in dimes and quarters. The number of dimes is two more than ha... | 4 | [
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-0.0044860... | 34,088 | 34088 | |
complex analysis
May 24th 2010, 06:03 AM #1
Newbie
Joined
May 2010
Posts
2
complex analysis
hello. I would like some direction in how to approach these problems
1.Calculate the line integral
$<br /> \int\limits_{-ipi}^{ipi}({e^z-z^2}) dz<br />$ calculated along circle at origin & radius r=pi
... | 5 | [
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0.00836181640625,
-0.005279541015625,
0.00090789794921875,
-0.0986328125,
-0.011779785... | 34,089 | 34089 | |
Laplace Transform
November 20th 2010, 09:50 AM #1
Member
Joined
Nov 2009
Posts
92
Laplace Transform
Question: Consider the differential equation $5y''' + 4y'' + 1y' - 3y = 0$ with $y(0) = -3, y'(0) = 4, y''(0) = -3$. Taking the Laplace transform and solving for $L(y)$ yields $L(y) = F(s)$ where
$F(s)... | 5 | [
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0.07666015625,
-0.09716796875,
-0.010314941406... | 34,090 | 34090 | |
Area of Triangle
August 8th 2010, 07:48 PM #1
Junior Member
Joined
Jul 2010
Posts
55
Area of Triangle
The tangent and normal to the curve $y=4(sqroot(x+2))$ at the point A(7,12) cut the x-axis at points B and C respectively. Calculate the area of the triangle ABC.
$y = 4\sqrt{x + 2}$
$y' = \dfra... | 4 | [
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A relatively easy Vector problem from calc 3?
May 5th 2009, 08:15 PM
iamtrojan3
A relatively easy Vector problem from calc 3?
The velocity of a particle is given by v(t)
= (t^2) i+ (t^3 +1) j
and the particle is at
the point (2,1) when t=0.
a) Where is the particle when t=2?
This was on a s... | 5 | [
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Calculus: Area
Posted by jasmineT on Saturday, April 28, 2012 at 6:48pm.
Can someone look at my work and see what i did wrong. I did this 100 times but i keep getting it wrong
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
2y=3x^(... | 5 | [
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Open question turned into exercise
G. H. Hardy tells the following story about visiting his colleague Ramanujan.
I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an
unfavora... | 5 | [
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0.0... | 34,094 | 34094 | |
Diophantine equations
October 12th 2009, 01:48 AM #1
Newbie
Joined
Sep 2009
Posts
15
Diophantine equations
Hi this is a hard thing. Solving Diophantine equations with many variables. My mind hang with this. Somebody helps me. This is it:
x+y congruence to 1(mod7)
x+z congruence to 2(mod7)
y... | 4 | [
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-0.00031280517578125,
-0.0439... | 34,095 | 34095 | |
Homework Help
Posted by Mykmoloko on Wednesday, February 9, 2011 at 10:01am.
A projectile is fired with an initial speed of 120m.s' at an angle of 60' above the horizontal from the top of a 50m high cliff. (a) determine the maximum height(above the cliff) reached by the
projectile (b) how long it takes to fall to the ... | 4 | [
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A Certain Integral Closure
March 30th 2013, 10:49 AM #1
Junior Member
Joined
Aug 2012
From
Sweden
Posts
37
Thanks
1
A Certain Integral Closure
I have a bunch of assertions without motivation which I'm trying to sort out.
Let H be a subgroup of S_n, [; A = k[x_1,...,x_n] ;], and [; \sigma_i ;... | 4 | [
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0.01... | 34,097 | 34097 | |
Prime numbers
Prove that if both p and p^2 + 8 are prime numbers, then p^3 + 10 is also prime thanks.
If $p=3$, then $p^2+8=17$ which is again prime, and surely enough $p^3+10=37$ is prime. Now if $peq 3$ - and p prime-, then $p^2\equiv{1}(\bmod.3)$ -since p must be coprime to 3- thus $p^2+8\equiv{0}
(\bmod.3)$ so $p^... | 5 | [
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Exact and non-exact differential equations
Studying for the mathematics subject GRE test, I have lately been going over differential equations material. The section in the Princeton Review test preparation book on the subject is a little
suboptimal in my mind – it runs through things a bit too quickly, not tracing out... | 4 | [
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