content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Math Help
November 1st 2008, 10:53 AM #1
Junior Member
Joined
May 2008
From
California
Posts
36
Related Rates
At noon, ship A passes 7 km WEST of a harbour, heading due NORTH at 9 km/h. At 9 a.m., ship B had left the harbour, sailing due NORTH at 6 km/h. Give an expression for d, the distance betwee... | 4 | [
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0.060791015625,
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0.0595703125,
-0.041748046875,
-0... | 31,100 | 31100 | |
Past Exam Paper help!!
June 2nd 2009, 04:06 AM #1
Newbie
Joined
Jun 2009
Posts
1
Past Exam Paper help!!
Ok
the functions f(x) and g(x) are defined by the formulae
f(x) = sin 1/x g(x) = x sin 1/x for x does not equal 0
f(0) = g(0) = 0
(b) Give the values of limx-->0 f(x) and limx-->0 g... | 5 | [
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0.0018310546875,... | 31,101 | 31101 | |
Quadratic Forms
matqkks
Only have a linear algebra background so cannot understand the applications of quadratic form to calculus. Are any simple applications which can be appreciated without the use of calculus.
One way quadratic forms are used in linear algebra is to define the norm of a matrix.
Recall that the ... | 4 | [
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0.0400390625,
-0.00653076171875,
0... | 31,102 | 31102 | |
Uncountable descomposition
August 24th 2008, 06:16 PM #1
Newbie
Joined
Aug 2008
Posts
24
Uncountable descomposition
Let S be an uncountable subset of [0,1]. Prove that there is a real number c in [0,1] such that both S∩[0,c] and S∩[c,1] are uncountable.
It seems obvious, but what is the proof?
... | 5 | [
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exponential and logarithmic functions
July 20th 2008, 01:20 PM #1
Member
Joined
Jul 2008
Posts
89
exponential and logarithmic functions
I am working on converting logarithmic equations in exponential form but I do not understand how my book explains it.
The two problems I am having trouble with are:... | 4 | [
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Conjugacy Classes
May 11th 2011, 01:07 AM #1
Conjugacy Classes
Just a little confused about conjugacy class equations.
Example:
In the symmetric group $S_5$ how many elements are there in the conjugacy class of the element $(12)(34)$?
I get that this is the amount of different possible ways to have... | 5 | [
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-0.... | 31,105 | 31105 | |
Relationship between Thermodynamic Driving Force and One-Way Fluxes in Reversible Processes
PLoS ONE. 2007; 2(1): e144.
Relationship between Thermodynamic Driving Force and One-Way Fluxes in Reversible Processes
Timothy Secomb, Academic Editor^
^1Department of Physiology, Medical College of Wisconsin, Milwaukee, Wis... | 4 | [
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Cartesian product, countable?
February 28th 2010, 02:40 PM
posix_memalign
Cartesian product, countable?
Hi,
if I let A and B be countable sets, how can I prove that the Cartesian product A x B is countable?
February 28th 2010, 02:52 PM
Plato
Quote:
Suppose that $A=\{a_1,a_2,a_3,\cdots\}~\&~B=\{b... | 5 | [
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Interior angles of a Parallelogram
April 16th 2009, 04:57 PM
supersaiyan
Interior angles of a Parallelogram
Hello, Ho do I find the interior angles of this
http://i44.tinypic.com/65vjo4.jpg
I know how to find for a triangle using
A.B = |A||B| cos theta
not sure how to find for a parallelogram
... | 4 | [
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Boundary layer flow of nanofluid over an exponentially stretching surface
Abstract
The steady boundary layer flow of nanofluid over an exponential stretching surface is investigated analytically. The transport equations include the effects of Brownian motion parameter and
thermophoresis parameter. The highly nonlinear... | 5 | [
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functionnal equation
August 14th 2006, 10:22 AM
tize
functionnal equation
Hello !
I have a problem to solve this question :
Find all real continuous functions f verifing : f(x+1)=f(x)+f(1/x)
Have you ever seen this, could you help me please ?
August 14th 2006, 11:49 AM
ThePerfectHacker
There i... | 4 | [
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Scalar in adjoint representation
Almost all useful relations of the algebraic structure of [itex]SU(N)[/itex] are listed below:
[tex]
[ T_{ a } , T_{ b } ] = i f_{ a b c } T_{ c } , \ \ \ \ \ (1)
[/tex]
[tex]
\{ T_{ a } , T_{ b } \} = \frac{ 1 }{ N } \delta_{ a b } I_{ N } + d_{ a b c } T_{ c } , \ \ \ (2)
[/tex]
where... | 4 | [
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... | 31,111 | 31111 | |
Orthogonal Matrices and Symmetric Matrices
November 18th 2012, 01:11 PM #1
Junior Member
Joined
Sep 2012
From
Canada
Posts
30
Hi, I have two problems that I'm really struggling with:
1) If A is an n x n matrix with real eigenvalues, show that A = B + C where A is symmetric and C is nilpotent. Hin... | 5 | [
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Homework Help
Posted by Aziz on Thursday, September 29, 2011 at 12:04am.
A soccer ball is kicked with an initial horizonal velocity of 18 m/s and an initial vertical velocity of 18 m/s.
1) What is the initial speed of the ball?
2)What is the initial angle of the ball with respect to the ground?
3)What is the maximu... | 4 | [
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Curve parametrization
December 11th 2008, 07:52 AM #1
Curve parametrization
Hi, I would like to parametrize the intersection between the unit sphere ( $x^2 + y^2 + z^2 =1$ ) and the plane $x+y+z =0$*
I came with
$*x(t) = \frac{cos(t)}{\sqrt{2}}$
$y(t) = \frac{sin(t)}{\sqrt{2}}$
$z(t) = -\frac{(cos... | 5 | [
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Help! - Pythagorean Theorem Proof
December 11th 2009, 06:40 AM
ReneePatt
Help! - Pythagorean Theorem Proof
In need of help. I've searched the internet and can't seem to find a pythag proof that makes since to me.
Looking at the diagram below and using the following theorem, how do you prove the pythagorean ... | 4 | [
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Homework Help
Posted by srihita on Monday, March 26, 2012 at 10:23am.
There ere 258 pupils in hte hall.If 1/3 of the boys left the hall and 22 girls entered the hall, there would be an equal number of boys and girls in the hall.
1) How many boys were in the hall at first?
2)Ho many more boys than girls were in hte h... | 4 | [
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General Combination Questions
May 16th 2010, 02:07 AM #1
Junior Member
Joined
Apr 2010
Posts
26
General Combination Questions
just some questions that i need help with, if someone could help, it would be appreciated very much
q1. find the number of ways of arranging 7 people in a line with the talle... | 4 | [
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-0.0133666992... | 31,117 | 31117 | |
Distance Problem
September 3rd 2007, 10:44 AM #1
Newbie
Joined
Aug 2007
Posts
12
Distance Problem
I'm having some trouble setting up an equation for this problem. Any suggestions?
Two children own two-way radios that have a maximum range of 2 miles. One leaves a certain point at 1 p.m. walking due ... | 4 | [
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Modular Logs
June 10th 2008, 05:56 AM #1
Modular Logs
good morning,
encrypt: c = m^3 (mod 101)
decrypt: m = c^d (mod 101)
how would i solve for d (with the most efficient method by hand)?
thanks...
Hello,
\begin{aligned} m & \equiv c^d \ [101] \\<br /> &\equiv (m^3)^d \ [101] \\<br />... | 5 | [
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[SOLVED] using beta or gamma function
January 5th 2010, 12:08 PM
akane
[SOLVED] using beta or gamma function
I have a problem solving this:
$\int_{-1}^{1} \sqrt {\frac {1+x}{1-x}} dx$
The result is $\pi$.
Could someone please help me :)
January 5th 2010, 12:38 PM
Drexel28
Quote:
Let $I... | 5 | [
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Wave Propagation Analysis in Composite Laminates Containing a Delamination Using a Three-Dimensional Spectral Element Method
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 659849, 19 pages
http://dx.doi.org/10.1155/2012/659849
Research Article
Wave Propagation Analysis in Composite Laminates Cont... | 4 | [
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Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 136043, 7 pages
http://dx.doi.org/10.1155/2013/136043
Research Article
Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
^1Department of Mathem... | 5 | [
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Linear transformation
October 10th 2009, 10:30 AM #1
Newbie
Joined
Oct 2009
Posts
5
Hello! I have som problems with this one. maybe someone can help me?
Find the standard matrix for the linear transformation.
T: R^2 --> R^2 dilates a vector by a factor of 3, then reflects that vector about the l... | 5 | [
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MATH: Pre-Cal/Trig
Posted by Melody on Saturday, January 29, 2011 at 5:20pm.
The length of a rectangular flower garden is 6 more feet than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway itself is 288 square feet. Find the
dimensions of the garden.
• MATH: Pre-Cal... | 4 | [
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logarithm
May 6th 2007, 09:45 PM
papercut06
logarithm
Hi, can someone help with this
How do i prove that the following statement is true?
2^log(5) is equal to 5^log(2)
Thanks a lot
May 6th 2007, 09:53 PM
Jhevon
Quote:
let 2^log(5) = x
take log of both sides, we get:
log[2^log(... | 4 | [
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the encyclopedic entry of wave scroll
A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium (which on deformation is capable of producing elastic
restoring forces), waves of electromagnetic radiation (and probably gravitational ra... | 4 | [
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ode question from a textbook - probably an easy answer
April 9th 2013, 08:18 PM
selecttext
ode question from a textbook - probably an easy answer
Hi,
I do not understand the following derivation. Could somebody please enlighten me:
dx/dt = b - ax
to solve, define a new variable y(t) = x(t) - b/a
... | 5 | [
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0.0184326171875,
-0.00011873245239257812,
0.04345703125,
0.045654296875,
0.043701171875,
-0.0218505859375,
0.043212890625,
0.061279296875,
0.0908203125,
-0.004974365234375,
0.050537109375,
-0.005889892578125,
0.035400390625,
0.134765625,
-0.0551757812... | 31,127 | 31127 | |
Tricky integral
November 14th 2010, 08:58 AM #1
Junior Member
Joined
Oct 2010
Posts
71
Tricky integral
Whilst working through a question I got to the point where I need to integrate this:
1/y + (1/k)/(1-y/k) where k is a constant.
I got ln|y| + 1/k (ln|1-y/k|)
I know this isn't correct. Co... | 5 | [
-0.052001953125,
0.000560760498046875,
0.044921875,
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0.031982421875,
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0.0673828125,
-0.057861328125,
0.031982421875,
0.01708984375,
-0.08... | 31,128 | 31128 | |
Ultimate Guide to First Year Maths
Ok I've decided to create an ultimate thread for First year Mathematics, I'm hoping this will help future students in their first year maths Studying in this Course 1) First year maths content is
somewhat similar to 3unit Mathematics and 4unit Mathematics, However if you did 3unit mat... | 5 | [
-0.01373291015625,
-0.060302734375,
-0.0074462890625,
-0.024658203125,
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0.06298828125,
0.06298828125,
0.002197265625,
-0.01513671875,
-0.0449... | 31,129 | 31129 | |
Homework Help
Posted by MS on Thursday, October 31, 2013 at 8:15am.
How to integrate dx/(4-5 sin x) using t-substitution method(i.e. taking tan x/2=t)?
• Calculus - Count Iblis, Thursday, October 31, 2013 at 11:27am
sin(x) = sin[2(x/2)] =
2 sin(x/2) cos(x/2)
Draw a right triangle with one angle equal... | 5 | [
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0.036376953125,
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0.005584716796875,
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find x in this rectangle
in a Rectangle distance AE= 14 m , DE=4 m, CE=12 M find BE=X=?
Last edited by mr fantastic; April 4th 2009 at 02:05 PM. Reason: Question was edit-wrecked by OP. Question restored and thread closed.
Let $EM\perp AD, \ EN\perp DC, \ EP\perp BC, \ EQ\perp AB$ $EM=a, \ EN=b, \ EP=c, \ EQ=d$ Then,... | 4 | [
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0.03515625,
0.02685546875,
0.0155639... | 31,131 | 31131 | |
disprove convergence
December 12th 2011, 09:35 AM #1
Newbie
Joined
Nov 2011
Posts
4
disprove convergence
Hi,
I have to show that, given a sequence (x_n) of real numbers with the property $|x_n|\geq n$ for infinitely many n, the sequence
$a_n=\frac{1}{n}\sum_{i=1}^n x_n$
does not converge. ... | 5 | [
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0.04931640625,
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-0.02587890625,
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0.031982421875,
0.0203857421875,
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-0.020263671875,
0.0830078125,
... | 31,132 | 31132 | |
Verhulst equation
for the following question:
y`-Ay=-By^2
my problem:
Suppose u=y^(-1)
so u`=-y^(-2)y`=B-Au
so du/(B-Au)= dx
=> B-Au=ce^x
=> u=(B-ce^x)/A
so y=1/u=a/(B-ce^x)
however, the correct answer should be y=1/[(B/A)+ce^(-ax)]
does anybody know where my calculations went wrong?
| 4 | [
0.004364013671875,
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0.00165557861328125,
-0.0056... | 31,133 | 31133 | |
Rocket Thrust From a Spring (Work)
DocZaius
I just came within 0.262% of that number
3 components of force going on here:
1) the rocket's thrust
2) the spring's push (as kamerling says, the spring is still pushing)
3) the earth's pull
1)
acceleration from rocket thrust
f=ma
240=11.7a
a=20.5128
2)
acceleration f... | 5 | [
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0.0203857421875,
-0.017578125,
... | 31,134 | 31134 | |
Trigonometry
October 10th 2006, 03:35 PM #1
Newbie
Joined
Sep 2006
Posts
2
Trigonometry
Question 1:
In this question, use pie=3.14 and assume the earth to be a sphere of radius 6370km. The towns A and B are both on the circle of latitude 24° N. the longitude of A is 108° E and the longitude of
B... | 4 | [
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0.055908203125,
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-0.049560546875,
... | 31,135 | 31135 | |
More Word Problems! Help!!
November 21st 2008, 05:08 PM #1
Junior Member
Joined
Nov 2008
Posts
36
6. A 2-by-4-by-8 rectangular solid is painted red. It is cut into unit cubes and reassembled into a 4-by-4-by-4 cube. If the entire surface of this cube is red, how many painted unit-cube faces
are h... | 4 | [
-0.01019287109375,
0.044921875,
0.059814453125,
0.045654296875,
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-0.01141357421875,
-0.0615234375,
-0.06640... | 31,136 | 31136 | |
Homework Help
Posted by Jenny on Wednesday, December 19, 2007 at 9:37pm.
Thank you!!
A survey of an urban university (population of 25,450) showed that 750 of 1100 students sampled attended a home football game during the season. What inferences can be made about student attendance
at football games?
Using the 99% l... | 5 | [
0.02099609375,
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0.008056640625,
-0.122070312... | 31,137 | 31137 | |
Re-writing higher order spatial derivatives as lower order system
July 26th 2010, 08:23 PM
nkinar
Re-writing higher order spatial derivatives as lower order system
I've been working with the following PDE:
$<br /> \[<br /> abla ^2 p = \frac{{\partial ^2 p}}{{\partial x^2 }} + \frac{{\partial ^2 p}}{{\partia... | 5 | [
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0.08935546875,
-0.0218505859375,
-0.0339... | 31,138 | 31138 | |
Geometric series
July 31st 2008, 09:41 AM #1
Newbie
Joined
Jun 2008
Posts
19
Geometric series
Express the decimal as an rational number through geometric series
1.213213213....
$\frac{ A} {1-r} \$
I understand how to do say .2222222222
as $\frac {2} {10}\ ( 1 + \frac { 1} {10}\ + \fra... | 4 | [
-0.05517578125,
-0.048828125,
-0.035400390625,
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0.07421875,
0.0458984375,
0.0054931640625,
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0.03857421875,
0.1328125,
-0.01318359375,
0.0040283203125,
-0.05029296875,
-0.028... | 31,139 | 31139 | |
Transfer Function
RC Low Pass Filter as a
Test Case for
Beh... | 4 | [
-0.039306640625,
0.1142578125,
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0.05859375,
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0.00946044921875,
0.01153564453125,
... | 31,140 | 31140 | |
Find a probability
December 6th 2009, 12:17 PM
cechmanek32
Find a probability
Here is the question. It's probably very simple and I just can't figure it out:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the pr... | 4 | [
-0.01513671875,
0.1455078125,
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0.07373046875,
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0.059814453125,
-0.006256103515625,
0.01507568359375,
0.0634765625,
0.0478515625,
-0.01507568359375,
-0.0174560546875,
-0.0120849609375,
-0... | 31,141 | 31141 | |
Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam
Advances in Acoustics and Vibration
Volume 2013 (2013), Article ID 841215, 7 pages
http://dx.doi.org/10.1155/2013/841215
Research Article
Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam
^1D... | 4 | [
-0.041748046875,
0.06005859375,
0.056884765625,
0.01214599609375,
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0.0247802734375,
-0.064453125,
-0.072265625,
0.0673828125,
0.036865234375,
0.057... | 31,142 | 31142 | |
Tensor product and basis
January 21st 2011, 02:57 PM
Sogan
Tensor product and basis
Hello,
Let V,W be some finite dim. vector spaces and denote $(e_i)_{i=1,..,n}, (g_j)_{j=1,..,m}$ the bases of V,W respectively.
Now i want to show that $(e_i \otimes g_j) ,1\leq i,j\leq m,n$ is a basis for the tensor pr... | 5 | [
-0.047119140625,
-0.042724609375,
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-0.035888671875,
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-0.028564453125,
-0.0257568359375,
-0.043212890625,
0.001861572265625,
-0.000759124755859375,
0.1044921875,
0.0233154296... | 31,143 | 31143 | |
What is a weir and how does it work?
┌────────────────────────────────────┐
│What is a weir and how does it work?│
... | 4 | [
0.0194091796875,
-0.018310546875,
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0.003997802734375,
-0.07275390625,
-0.01531982421875,
-0.10888671875,
0.01080... | 31,144 | 31144 | |
integrate this by parts and substitution
November 6th 2012, 09:46 PM #1
Member
Joined
Oct 2009
Posts
107
Thanks
2
integrate this by parts and substitution
imgur: the simple image sharer
for the first one,
i tried:
let e^x = u
du/dx = e^x
but then i couldn't put that back in (du =... | 5 | [
-0.00982666015625,
0.010986328125,
0.125,
0.033203125,
0.053466796875,
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0.025390625,
-0.09375,
0.016357421875,
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0.0308837890625,
-0.1103515625,
0.06689453125,
0.037109375,
-0.1142578... | 31,145 | 31145 | |
Treating differential operator as algebraic entity
April 30th 2010, 04:24 AM #1
Newbie
Joined
Apr 2010
Posts
1
Treating differential operator as algebraic entity
I was reading e:the story of a number by Eli Maor, where he treats differential operator as just like any algebraic entity.
For example if... | 4 | [
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0.0240478515625,
0.03076171875,
-0.00144195556640625,
-0.10009765625,... | 31,146 | 31146 | |
Range of trig function
Find the range of $f(x)=\sin ^2 x (\sin (2x) +1)$. Ideas?
Well, enough to know that even though the range of sine is <-1;1>, the range of f will not be $1^2\cdot(1+1)$... What else would be any help?
$\sin{2x}=2\sin{x}\cos{x}$ $2\sin^2{x}\sin{x}\cos{x}+\sin^2{x}$ $\sin{x}\cos{x}eq\pm 1$ $0\leq\... | 5 | [
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0.078125,
0.052001953125,
-0.056396484375,
0.0712890625,
-0.035888671875... | 31,147 | 31147 | |
Existence and Global Exponential Stability of Periodic Solution to Cohen-Grossberg BAM Neural Networks with Time-Varying Delays
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 805846, 21 pages
http://dx.doi.org/10.1155/2012/805846
Research Article
Existence and Global Exponential Stability of Periodic So... | 5 | [
-0.10400390625,
-0.08056640625,
0.006591796875,
0.042236328125,
0.021240234375,
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0.033935546875,
-0.072265625,
0.017578125,
... | 31,148 | 31148 | |
Separation of Variables
August 7th 2012, 12:31 AM #1
Newbie
Joined
Jul 2012
From
California
Posts
7
Separation of Variables
Hello, I'm a little stuck on this problem:
Find a solution to the differential equation subject to the initial conditions.
dz
dt = te^z , through the origin.
... | 5 | [
-0.05322265625,
0.0296630859375,
0.0277099609375,
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0.060302734375,
0.018798828125,
-0.0341796875,
-0.07177734375,
0.00823974609... | 31,149 | 31149 | |
Homework Help
Posted by sonia on Wednesday, November 21, 2012 at 10:21pm.
A fence 5 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of
the building?
• calculus - Steve, Thursday... | 5 | [
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0.02880859375,
-0.... | 31,150 | 31150 | |
Antiderivative and acceleration question
February 1st 2009, 07:16 PM
maccha
Antiderivative and acceleration question
At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts moving forward with a constant acceleration of 6 feet per second squared. At the same
... | 5 | [
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0.009765625,
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0.0869140625,
-0.0101318359375,
-0.0157470703125,
-... | 31,151 | 31151 | |
Exponential Equation
October 29th 2007, 10:37 PM #1
Newbie
Joined
Oct 2007
Posts
8
Exponential Equation
I've been working on this problem all night and I can't seem to do it. Can someone give me a hint on how to start it?
4^x - 10 * 4^-x = 3
Thanks.
Let me do it all the way to avoid too muc... | 4 | [
0.028564453125,
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0.029541015625,
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0.13671875,
0.053466796875,
0.056640625,
-0.03369140625,
0.006195068359375,... | 31,152 | 31152 | |
Determination of Neural Fiber Connections Based on Data Structure Algorithm
Computational Intelligence and Neuroscience
Volume 2010 (2010), Article ID 251928, 6 pages
http://dx.doi.org/10.1155/2010/251928
Research Article
Determination of Neural Fiber Connections Based on Data Structure Algorithm
Institute of Biomed... | 4 | [
-0.005126953125,
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0.0269775390625,
0.00543212890625,
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0.07470703125,
-0.06884765625,
0.0927734375,
-0.0869140625,
0.0024871826171875,
-0.006591796875,... | 31,153 | 31153 | |
Computational Method for Global Sensitivity Analysis of Reactor Neutronic Parameters
Science and Technology of Nuclear Installations
Volume 2012 (2012), Article ID 109614, 11 pages
http://dx.doi.org/10.1155/2012/109614
Research Article
Computational Method for Global Sensitivity Analysis of Reactor Neutronic Paramete... | 4 | [
-0.044189453125,
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0.08935546875,
-0.0036773681640625,
-0.109375,
-0.03662109375,
0.058837890625,
-0.05... | 31,154 | 31154 | |
Induction help
June 22nd 2010, 10:00 PM
dunsta
Induction help
I understand the rules of prooving by induction, but I can't understand the math in this equation.
If someone could explain what is happening at each step I would be very thankful.
$k + 1 <= 3^k +1 <= 3^k + 3^k = 2.3^k <= 3.3^k = 3^k^+^1$
... | 4 | [
-0.048828125,
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Fun with metrics
September 23rd 2011, 10:11 PM #1
MHF Contributor
Joined
Nov 2010
Posts
1,758
Thanks
679
Fun with metrics
I'm a first year grad student. After listening to my algebra professor's explanation that for any finite set A, P(A) is a vector space under the operation of symmetric difference ... | 4 | [
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MIMO Lyapunov Theory-Based RBF Neural Classifier for Traffic Sign Recognition
Applied Computational Intelligence and Soft Computing
Volume 2012 (2012), Article ID 793176, 7 pages
http://dx.doi.org/10.1155/2012/793176
Research Article
MIMO Lyapunov Theory-Based RBF Neural Classifier for Traffic Sign Recognition
^1Ele... | 4 | [
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Question on derivatives of trig functions
March 20th 2010, 02:41 AM #1
Newbie
Joined
Mar 2010
Posts
1
Question on derivatives of trig functions
I have a maths B (Grade 11 & 12 Advanced) exam on monday and im studying up for my whole weekend. D=
Anyway one question that I need help for is:
y = ta... | 5 | [
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I have no idea how to calculate volume of cap (=top) of a sphere (Image attached)
February 15th 2010, 10:09 AM
s3a
I have no idea how to calculate volume of cap (=top) of a sphere (Image attached)
I'm not sure if this isn't part of Calculus but it's in my Calculus text book so sorry if I am posting in the wrong ... | 5 | [
0.05322265625,
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Finding the remaining zeros of each polynomial function
June 4th 2010, 09:49 AM #1
Newbie
Joined
Jun 2010
Posts
16
Use the given zero to find the remaining zero's of each polynomial function.
P(x)= x^3+3x^2+x+3; -i
I'm pretty lost with this stuff. I've been watching Patrick's videos trying to... | 4 | [
-0.0771484375,
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[SOLVED] Question regarging Binomial Theorem
September 3rd 2009, 02:55 PM #1
Junior Member
Joined
May 2009
Posts
65
[SOLVED] Question regarging Binomial Theorem
Find n so that the coefficients of the eleventh and thirteenth terms in the expansion of (1+x)^n are the same.
I need some help regarding t... | 4 | [
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Homework Help
Posted by Anonymous on Friday, February 28, 2014 at 3:45pm.
Two automobiles, each of mass 1000kg , are moving at the same speed, 17m/s , when they collide and stick together.
At what speed does the wreckage move if one car was driving north and one east?
• Physics - Damon, Friday, February 28, 2014 a... | 4 | [
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calc check: curve length
Posted by COFFEE on Monday, July 2, 2007 at 2:31pm.
Find the length of the curve y=(1/(x^2)) from ( 1, 1 ) to ( 2, 1/4 ) [set up the problem only, don't integrate/evaluate]
this is what i did.. let me know asap if i did it right..
y = (1/(x^2))
dy/dx = (-2/(x^3))
L = integral from a to b f... | 5 | [
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Cubic Equation
August 19th 2006, 08:09 AM
classicstrings
Cubic Equation
A curve with equation y = ax^3 + bx passes through the origin at an angle of 45 degrees and passes through the point (2,-6)
FInd values a and b.
Not sure how to tackle this question! Thanks.
August 19th 2006, 08:24 AM
Glaysher
... | 4 | [
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pseudo inverse of a matrix
January 21st 2011, 08:43 PM #1
Newbie
Joined
Jan 2011
Posts
3
pseudo inverse of a matrix
Hi
Let A be an $m \times n$ matrix. An $n\times m$ matrix $A{^\oplus}$ is a pseudoinverse of A if there are matrices $U \ and\ V$ such that
$AA^{\oplus} A= A,$
$A^{\oplus}=UA^{... | 4 | [
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trigonomerty - modelling and problem solving
April 6th 2013, 05:37 PM #1
Junior Member
Joined
Jan 2013
From
Gold coast
Posts
29
trigonomerty - modelling and problem solving
A cat sitting on the edge of a straight river bank spots a bird sitting in a tree directly across the river and on the river's e... | 4 | [
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[High School to College Statistics] Hello r/learnmath, I am part of my high school math team and I would greatly appreciate it if you could help me solve a problem... • /r/learnmath
[High School to College Statistics] Hello r/learnmath, I am part of my high school math team and I would greatly appreciate it if you c... | 4 | [
0.033203125,
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the encyclopedic entry of Special_linear_group
In mathematics, the special linear group of degree n over a field F is the set of n×n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.
This is the normal subgroup of the general linear group, given by the kernel... | 4 | [
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Construct involute
February 14th 2008, 07:15 PM
tttcomrader
Construct involute
Construct the involute for $y = \frac {x^2}{2}$ starting from (0,0).
My solution so far:
Let $\alpha (t) = (t, \frac {t^2}{2})$
I use the formula $\alpha (t) - t(t) s(t)$ where $s(t) = \int ^{t} _{t_{0}} V(u)du$
I ... | 5 | [
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Critical points
October 12th 2009, 03:53 PM #1
Banned
Joined
Sep 2009
Posts
35
Critical points
$F(x) = \frac{p-4}{p^2+2}$
f(x) = p-4
f'(x) = -4
g(x) = $p^2 + 2$
g'(x) = 2p
$F'(x) = \frac{f'(x)g(x)-f(x)g'(x)}{g(x)^2}$
$F'(x)= \frac{-6p^2+8p-8}{(p^2+2)^2}<br /> <br />$
I und... | 4 | [
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The combined area of the two black squares is equal to 1000
Author Message
TAGS:
The combined area of the two black squares is equal to 1000 [#permalink] 07 Feb 201... | 4 | [
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search results
Expand all Collapse all Results 76 - 92 of 92
76. CMB 1999 (vol 42 pp. 452)
Finite Rank Operators in Certain Algebras
Let $\Alg(\l)$ be the algebra of all bounded linear operators on a normed linear space $\x$ leaving invariant each member of the complete lattice of closed subspaces $\l$. We d... | 4 | [
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0.090... | 31,172 | 31172 | |
Math Help
Hello snigdhaThe Mean Proportion of two numbers is, I think, what is more usually called the Geometric Mean, and is the square root of their product. So if $b$ is the mean proportion of $a$ and $c$,
then $b^2 = ac$ or $b = \sqrt{ac}$ So here the mean proportion is $\sqrt{(a+b)(a-b)^3(a+b)^3(a-b)}$ $=\sqrt{(a... | 4 | [
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0.0568847... | 31,173 | 31173 | |
Torricelli's principle
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let be the height of the liquid surface above the outlet at time t. Torricelli's principle states that the outflow
velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the ... | 4 | [
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How would I go about solving this eqn for x?
July 21st 2013, 09:18 PM
RogerSmith
How would I go about solving this eqn for x?
I'm in Calculus and the Algebra is killing me. I do practice my Algebra when I get free time on the weekends, but I still have a long way to go. How would I solve this problem for x? I've... | 4 | [
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... | 31,175 | 31175 | |
Another rate of change question
July 24th 2007, 03:00 PM #1
Junior Member
Joined
Apr 2006
Posts
29
Another rate of change question
A dog instantly spots a squirrel sitting on the ground 15m away. She approaches the squirrel at a constant rate of 2m/s and the squirrel darts straight up the tree at a const... | 5 | [
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0.0149536... | 31,176 | 31176 | |
Solving 2D Poisson problem with single series solution.
March 18th 2010, 11:02 AM
yungman
Solving 2D Poisson problem with single series solution.
Conventional solution of Poission’s equation involve solution $u(x,y)= \sum_{n=1}^{\infty} \sum_{m=1}^{\infty}E_{mn} sin(\frac{m\pi}{a}x) sin(\frac{n\pi}{a}y)$
Th... | 4 | [
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Mobius Band and its Boundary
November 13th 2009, 07:31 PM #1
Newbie
Joined
Mar 2009
Posts
18
Mobius Band and its Boundary
Hi all,
I need someone to explain me this one:
Prove that the the mobius band does not retract to its boundary.
It should be a well-known property from what I understand... | 4 | [
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0.0208740... | 31,178 | 31178 | |
Reactance, Inductive and Capacitive
Suppose an inductor is connected directly to an AC voltage source, as shown in Figure 1. It is reasonable to assume negligible resistance, since in practice we can make the resistance of an inductor
so small that it has a negligible effect on the circuit. Also shown is a graph of vol... | 5 | [
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-0.00... | 31,179 | 31179 | |
Using the Fundamental Theorem of Calculus...
August 5th 2009, 06:49 AM #1
Junior Member
Joined
Aug 2009
Posts
29
Using the Fundamental Theorem of Calculus...
I'm asked to state the fundamental theorem of calculus, and use it to show that
d/dx
integral from x to tan x $\frac{1}{1+t^{2}}=\frac{x^{2... | 5 | [
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Can it be simplified more?
July 29th 2010, 06:06 AM #1
Newbie
Joined
Jul 2010
From
New Jersey
Posts
20
Can it be simplified more?
Hi
Solving leaving the answer in term of e or ln
(5^3+x) = (20^x-3)
ln 5 (3 + x) = ln 20 (x - 3)
3 ln5 + x ln5 = x ln20 - 3 ln20
3 ln5 + 3 ln20 = ... | 4 | [
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Density Functions
November 11th 2009, 12:55 PM #1
Junior Member
Joined
Mar 2009
Posts
46
Density Functions
Let X be uniform on (-pi/2, pi/2) and let Y = atan(X), a > 0. Find $f_Y(y)$ in terms of $f_X$.
I know how to do this, but somehow I'm not getting the answer that the book has. The book says the... | 5 | [
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... | 31,182 | 31182 | |
Proving a limit of at infinity based on certain given stipulations?
August 20th 2010, 10:42 AM #1
Proving a limit of at infinity based on certain given stipulations?
Heres the question that I think I have figured out. I was hoping somebody could look over my proof and tell me weather it is valid. Anyway, the ques... | 5 | [
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-0.0... | 31,183 | 31183 | |
the encyclopedic entry of unconsumed
In computer science, an LR parser is a parser for context-free grammars that reads input from Left to right and produces a Rightmost derivation. The term LR(k) parser is also used; here the k refers
to the number of unconsumed "look ahead" input symbols that are used in making parsi... | 5 | [
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0.01031494140625,
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-0.050048828125,
-0.046... | 31,184 | 31184 | |
Linear Algebra - Raising a matrix to a power
| x 1 0 |
| 0 x 1 |
| 0 0 x |
I need to raise this matrix to the 50th power. Of course I can not solve this the extremely long way. Here is my attempt at this:
Let A represent the matrix above, and let N represent the following matrix:
| 0 1 0 |
| 0 0 1 |
| 0 0 0 |
Then ... | 5 | [
0.0189208984375,
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0.032470703125,
0.01556396484375,
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0.10791015625,
-0.076171875,
0.... | 31,185 | 31185 | |
Inverse Laplace Transform
February 29th 2012, 01:27 PM #1
Inverse Laplace Transform
Need help to solve the following:
Find the inverse Laplace transpose using convolution theorem:
$L^{-1} \left\{ \frac{s}{ \(s^2 + 4\)^3}\right\}$
Thanks.
Re: Inverse Laplace Transform
Let
$L^{-1} \left\{ ... | 4 | [
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0.0284423828125,
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-0.00038909912109375,
0.06494140625,
0.013122... | 31,186 | 31186 | |
Triangle - Urgent
In a triangle ABC, X is a point on AC such that AX = 15m, XC = 5m, <AXB = 60 degrees and <ABC = 120 degrees. Find the length of BC.
Last edited by coatsy; August 2nd 2007 at 01:25 AM.
Hello, coatsy! In $\Delta ABC,\:X$ is a point on $AC$ such that: . . $AX = 15\,m,\,XC = 5\,m,\;\angle AXB = 60^o,\;\... | 4 | [
-0.062255859375,
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0.00885009765625,
0.0400390625,
0.053955078125,
-0.034423828125,
-0.0395507... | 31,187 | 31187 | |
Frenet-Serret Formulas
April 28th 2009, 02:29 AM #1
Member
Joined
May 2008
From
Melbourne Australia
Posts
203
Thanks
15
Frenet-Serret Formulas
Let $\kappa=\frac{\delta \overline T}{\delta s}\cdot \overline N$ and $\tau=\frac{\delta \overline N}{\delta s}\cdot \overline B$. Assume in turn that eac... | 4 | [
-0.10888671875,
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0.0390625,
0.050048828125,
-0.0185546875,
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-0.009033203125,
0.02490234375,
0.00848388671875,
-0.052978515625,
0.036132812... | 31,188 | 31188 | |
Homework Help
Posted by Riana on Tuesday, January 1, 2013 at 11:34pm.
the 10th term is 34 of arithmetic series and the sum of the 20th term is 710 i.e S20=710.what is the 25th term?
• math help! - drwls, Wednesday, January 2, 2013 at 10:06am
Let a = first term, T1
Let b = Tn+1 - Tn = term difference
a... | 4 | [
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-0.0230712890625,
-0.05908203125,
-0.02404... | 31,189 | 31189 | |
Integration by Parts
February 22nd 2013, 03:31 PM #1
Newbie
Joined
Feb 2013
From
United States
Posts
3
Integration by Parts
Hi all, I'm a little new here, but I hope you don't mind me joining your little community as I delve into Calculus II. I'd really like to learn to enjoy this class and be profic... | 5 | [
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-0.007659912109375,
0.022216796... | 31,190 | 31190 | |
6. Multiplication and Division of Fractions
Recall the following fraction facts:
When multiplying by a fraction, multiply numerators and multiply denominators:
`2/3xx 5/7=(2xx5)/(3xx7)=10/21`
If you can, simplify first :
`13/24xx 12/39=(1xx1)/(2xx3)=1/6`
(I canceled the `13` & `39` to give `1/3` and the `... | 4 | [
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... | 31,191 | 31191 | |
Work problem
November 22nd 2011, 02:07 AM #1
Member
Joined
Jul 2011
Posts
196
Work problem
A bucket that weighs 3kg and a rope of negligible weight are used to draw water from a well that is 100m deep. The bucket is filled with 40 liters of water and is pulled up at a rate of 2m/s, but
water leaks ou... | 5 | [
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Journal of the Brazilian Society of Mechanical Sciences and Engineering
Services on Demand
Article
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Print version ISSN 1678-5878
J. Braz. Soc. Mech. Sci. & Eng. vol.34 no.1 Rio de Janeiro Jan./Mar. 2012
http://dx.doi.org/10.1590/S1678-58782012000100002
... | 4 | [
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Numerical Response
10.3. Functional and Numerical Response
Holling (1959) studied predation of small mammals on pine sawflies, and he found that predation rates increased with increasing prey population density. This resulted from 2 effects: (1) each
predator increased its consumption rate when exposed to a higher pre... | 4 | [
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Homework Help
Posted by Miranda on Thursday, May 31, 2012 at 12:23am.
Casey paid $45 for one new tire and one used tyre for his bicycle. The new tire costs $17 more than the used tire. How much did the new tire cost?
I have worked out the answer in my head, ($31) but is there a particular formula I can use or follow.... | 4 | [
0.018798828125,
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0.0400390625,
-0.0517578125,
... | 31,195 | 31195 | |
Get homework help at HomeworkMarket.com
Question
Submitted by
micell 5
on Mon, 2013-08-26 17:46
due on Mon, 2013-08-26 17:45
answered 7 time(s)
Hand shake with
limra
: In progress
micell 5 is willing to pay $10.00
acc 206 week 5 assignment
... | 5 | [
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Anales de la Asociación Química Argentina
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versión impresa ISSN 0365-0375
An. Asoc. Quím. Argent. v.94 n.4-6 Buenos Aires ago./dic. 2006
... | 4 | [
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Homework Help
Posted by Nikki on Monday, October 15, 2012 at 3:27pm.
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the oppisite side of the runway are 6 degrees and 13 degreess
respectivel. The points and the tower are in the same ver... | 4 | [
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Efficient Parallel Carrier Recovery for Ultrahigh Speed Coherent QAM Receivers with Application to Optical Channels
Journal of Electrical and Computer Engineering
Volume 2013 (2013), Article ID 240814, 14 pages
http://dx.doi.org/10.1155/2013/240814
Research Article
Efficient Parallel Carrier Recovery for Ultrahigh Sp... | 4 | [
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