content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Parametric Equation?
March 1st 2011, 05:39 PM #1
Newbie
Joined
Mar 2010
Posts
16
Parametric Equation?
Hey, Again-- I just need a directive on how to get started. Thanks!
y’ if y=cos(sin(x2+1)-1))
should I make sin into a fraction?
Thanks...
Is the original question to find the derivat... | 5 | [
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GCD=1 Problem
February 5th 2007, 06:51 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
GCD=1 Problem
Let r,s,t be integers. If r=st+1, prove gcd(r,s) = 1.
My works so far:
I know that to prove gcd(r,s) =1, I need to have ra + sb = 1 for some integers a and b.
Now r = st + 1 means... | 4 | [
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Minimization Algorithms
34.7 Minimization Algorithms
The minimization algorithms described in this section require an initial interval which is guaranteed to contain a minimum—if a and b are the endpoints of the interval and x is an estimate of the
minimum then f(a) > f(x) < f(b). This ensures that the function has a... | 4 | [
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Pivot Farm
Very simply OHLC is an acronym for Open, High, Low and Close. It describes these metrics for the previous trading day/week/month. The OHLC whilst offering its own very valuable input for Support and
Resistance is also the basis for a wide range of calculations derived from it which will be described in the n... | 4 | [
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Definition of the derivative to find the derivative of x^(1/3)
Martinc31415
1. The problem statement, all variables and given/known data
Use the definition of the derivative to find the derivative of x^(1/3)
2. Relevant equations
3. The attempt at a solution
[(x+h)^(1/3) - x^(1/3)]/h
I do not know where to go f... | 4 | [
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Is it possible to generalize it?
Register to reply
by sukyung
Tags: generalize
P: 3 Denote Z_n=(0.1.2....n-1)
Then could I generalize the number of homomorphism H:Z_n -> Z_m as
... | 5 | [
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Trig Word Problem Help!
October 13th 2013, 05:16 PM
rk14
Trig Word Problem Help!
I need help with this word problem: (Nod)
If you stand in shallow water and look at an object below the surface of the water, the object will look farther away from you than it really is. This is because when light rays pass bet... | 4 | [
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Stabilization of the Wave Equation with Boundary Time-Varying Delay
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 735341, 6 pages
http://dx.doi.org/10.1155/2014/735341
Research Article
Stabilization of the Wave Equation with Boundary Time-Varying Delay
^1School of Ocean Sciences, China University o... | 4 | [
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Congruence Solving
micromass
You're working (mod 5) here, so I suggest that you express the x also in (mod 5). (thus x can be 0,1,2,3 or 4).
When I do this, I get
for d=1: x=1
for d=2: x=1,4
for d=4: x=1,2,3,4
Solutions like 9 are superfluous here, since 9=4 (mod 5).
This is certainly correct, but the above examp... | 4 | [
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Complex Numbers
July 8th 2011, 12:04 AM #1
Junior Member
Joined
May 2011
Posts
30
Complex Numbers
Hi guys, need help with a question:
Given that z = 2 + 2i, express z* in the exponential form. Hence find the set of the positive interger n for which (z*)^n is purely imaginary.
z* = 2^(3/2) e^[i(... | 4 | [
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Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 979252, 7 pages
http://dx.doi.org/10.1155/2013/979252
Research Article
Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersi... | 5 | [
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Minimizing infinity norm squared
there is another approach.. this gives a quadratic cost with coupled linear constraints.. i'd be very grateful if you could check the working..
the problem is to find the maximum of
<a,x> - (L/2)||x-u||_inf^2 s.t.: x >= 0, ||x||_inf <= R.
this is the same as finding the minimum of
(L/... | 4 | [
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Patent US5243537 - Method and apparatus for rapid measurement of AC waveform parameters
FIELD OF THE INVENTION
This invention is in the field of electrical measurements, and more particularly to the measurement of ac waveform parameters.
BACKGROUND OF THE INVENTION
In many uses of alternating current, it is importan... | 4 | [
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Patent US6038269 - Detection for digital communication receivers
BACKGROUND
1. Field of the Invention
This invention relates to improving the signal-to-noise ratio of a digital communication system suffering from intersymbol interference.
2. Background
The dramatic increase in desktop computing power driven by intr... | 4 | [
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8sin^2(v)-2cos(v)=5
August 29th 2006, 03:52 AM
a4swe
8sin^2(v)-2cos(v)=5
$8\sin(v)^2-2\cos(v)=5 \Leftrightarrow$
$8(1-\cos(v)^2)-2\cos(v)=5 \Leftrightarrow$
$8-8\cos(v)^2-2\cos(v)=5 \Leftrightarrow$
$1-\cos(v)^2-\frac{1}{4}\cos(v)=\frac{5}{8} \Leftrightarrow$
$\cos(v)^2+\frac{1}{4}\cos(v)-\frac{3... | 4 | [
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Monic polynomial help
March 12th 2009, 06:09 AM
jvignacio
Monic polynomial help
Find the monic polynomial of degree 5 which has 1, 1 + i and 2 − i as three of its roots..
any help on this question id appreciate.
March 12th 2009, 06:23 AM
red_dog
I think the polynomial has real coefficients. Then
... | 5 | [
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Proof help please
February 19th 2009, 09:39 AM #1
Junior Member
Joined
Feb 2009
Posts
44
Proof help please
Let A, B, and C be sets. Prove the following claim, or give a counterexample:
(A - B) - C = (A - C) - (B - C)
Set Proofs
Hello thehollow89
$(A-C)-(B-C) = (A\cap C')\cap(B\cap C')'$
... | 4 | [
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Julian Barbour on does time exist
I need to plug ahead with how time (as a flow on the observable algebra) emerges. For continuity, here are the essentials of the last post:
Given an algebra
A
of observables and a state of the world ω it is possible to derive a unique flow α
[t]
on the algebra. Taking each observa... | 4 | [
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Graph Theory: Arithmetic and Geometric Means
September 22nd 2010, 04:39 AM #1
Newbie
Joined
Sep 2010
Posts
2
Graph Theory: Arithmetic and Geometric Means
Hi, I'm a little stuck on this question.
Part a) asks to prove that $<br /> \[l = \sqrt{a^{2}+b^{2}+c^{2}}\]$, where $\[l \]$ is the diagonal of a... | 5 | [
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Random Variable.
I don't know where to start please help me, thanks
Last edited by mr fantastic; November 8th 2011 at 12:12 PM. Reason: Title.
I assume that the two numbers are on the faces of the dice. Let $E=\{1,\dots,6\}$ and $\mathcal{E}=2^E$; then $E$ is the domain of $X$. The definition says that $X:\Omega\to E... | 5 | [
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How definite integration works?
Let y= f(x) be continuous function such that [itex]f(x)\ge 0[/itex] for all [itex]a\le x[/itex]. Define F(x) to be the area under the graph from a to x. Then F(x+[itex]\Delta[/itex]x) is the area
under the graph from a to x+ [itex]\Delta[/itex]x. F(x+ [itex]\Delta[/itex]x)- F(x) is the a... | 4 | [
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Need help with the optimization of volume of 3 dimensional shapes.
November 11th 2012, 01:54 PM
devilray1018
Need help with the optimization of volume of 3 dimensional shapes.
A right circular cylinder is inscribed in a cone with height H and base radius R. Find the largest volume of such a cylinder (you should ... | 4 | [
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Internal energy and thermodynamic entropy
SW VandeCarr
Thanks for the link. I would note that in your expressions, N is the only variable in the relation between T and E. So [tex]S=\frac{log E}{a}[/tex] should be equivalent to Boltzmann's [tex]S=k. log.
W[/tex] and Gibbs'[tex] S=-k\sum p_{i}. log.p_{i}[/tex].
That ... | 4 | [
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Matrix determinants and differentiation
I'm having trouble understanding where this concept comes from:
Step 1) If you start out with the following two equations
v + log u = xy
u + log v = x - y.
Step 2) And then perform implicit differentiation, taking v and u to be dependent upon both x and y:
(d will represent the... | 4 | [
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Uniqueness of the Limit.
December 23rd 2005, 10:29 AM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Uniqueness of the Limit.
I was thinking perhaps the limit of a function at a constant or at infinity is not unique. Thus by delta-epsilon I mean there exists another ... | 5 | [
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Four segments, find angle?
December 22nd 2007, 07:36 AM #1
Four segments, find angle?
Given the geometry shown below I need to find angle r. I now all the sides (a,b,c,d). I do NOT know what angle K is. Here is the geometry setup:
I approached this problem the following way:
EC = AB + 2*BC*sin(k)
DE... | 4 | [
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Patent US5166694 - Vehicle location system having enhanced position location processing
BACKGROUND
The present invention generally relates to position location systems, and more particularly, to a vehicle position location system employing enhanced position location processing.
To efficiently manage its resources, a ... | 4 | [
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Advanced Geometry - Convex sets and Extreme points proof
November 28th 2011, 09:23 AM
maxgunn555
Advanced Geometry - Convex sets and Extreme points proof
Let K subset of R^n be a convex set. We call x1 element of K an extreme point of K if K/{x1} is convex too.
Prove that x1 element of K is an extreme point... | 5 | [
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0.0022430419921875,
-0.0810546875,
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0.0927734375,
0.008544921875,
-0.034423828125,
0.045166015625,
0.06298828125,... | 16,427 | 16427 | |
Common–Emitter Amplifier
General Amplifier Concepts
An amplifier can be represented as a two-port device. The two ports are called input and output. Each port has two terminals, and in general one of the terminals is ground. When a voltage (v[i]) is
applied at the input terminals, an output voltage (v[o]) is generated... | 4 | [
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0.0124511718... | 16,428 | 16428 | |
Continuum Hypothesis
May 15th 2010, 06:42 AM #1
Banned
Joined
Sep 2009
Posts
502
Continuum Hypothesis
The author of my book stated
The Continuum Hypothesis: There exists no set $S$such that
$\aleph_0<|S|<c.$ where $c = |\mathbb{R}|$
He then went on raising a question: Is there as set $S$ s... | 5 | [
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-0.0... | 16,429 | 16429 | |
Prove:β (heat pump) is always less or equal to β(Carnot HP)
Don't you have a textbook?
Basically, you start from the definition of the coefficient of performance and use the 1st law to write it in terms of ##Q_C## and ##Q_H##, the heat coming from the cold reservoir and that going to
the hot reservoir, respectively. T... | 4 | [
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-0.000... | 16,430 | 16430 | |
system of linear equations
May 19th 2008, 06:16 PM
mathconfusesme
system of linear equations
Solve the following systems of equations
4x + y -2z = 0
2x - 3y + 3z = 9
-6x - 2y + z = 0
Simplify the following expressions
(6x^2 - 3x + 2) - (4x^2 + 2x - 5)
Simplify the following to t... | 5 | [
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-0.... | 16,431 | 16431 | |
Nonempty set bounded from below
October 28th 2008, 07:55 AM #1
Senior Member
Joined
Apr 2008
From
Vermont
Posts
318
Nonempty set bounded from below
S is a nonempty set of real numbers bounded from below.
Here is what I have done so far:
x=inf S=glb S
Since x=glb S, there cannot be an x+e... | 4 | [
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0.028... | 16,432 | 16432 | |
Separable differential equations problems
August 13th 2007, 03:36 AM #1
Junior Member
Joined
Apr 2007
Posts
32
Separable differential equations problems
Two problems I'm stuck on.( sorry these aren't separable, they are first order linear, i wrote the wrong thing)
1: t*(dy/dt) + 2y = t^2 - t + 1
... | 5 | [
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-0.038... | 16,433 | 16433 | |
Number pattern
July 30th 2010, 06:55 AM #1
Junior Member
Joined
Mar 2010
Posts
31
Number pattern
Hi, The question I have is:
Express a single generality that generalises all three related observations that
$1+3+5+3+1=3^2+2^2$
$1+3+5+7+9+7+5+3+1=5^2+4^2$
$1+3+1=2^2+1^2$
and show that ... | 4 | [
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-0.0002079010009765... | 16,434 | 16434 | |
Applications of Integration
March 25th 2007, 05:17 PM #1
Applications of Integration
I am posting this on behalf of vc15ao4 who seems to have problems posting.
vc15ao4
I can't seem to figure out how to post in the forum. Every time I'm at the forum, it says I can't. I dont have enough access privledges... | 5 | [
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0.078125,
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0.05126953125,
0.0186767578125,
-0.0844... | 16,435 | 16435 | |
RSA Decryption method
November 7th 2011, 03:11 AM #1
Member
Joined
Jul 2011
Posts
196
RSA Decryption method
I am trying to understand how this method for simplifying the decryption process works. I understand that if I have the message c raised to the public exponent modulo the modulus, then to decrypt
... | 5 | [
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If n is a positive integer and r is remainder, when
Author Message
TAGS:
If n is a positive integer and r is remainder, when [#permalink] 21 Apr 2008, 21:00
1
... | 4 | [
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... | 16,437 | 16437 | |
If x and y are positive integers and 5^x
Author Message
TAGS:
If x and y are positive integers and 5^x [#permalink] 06 Apr 2012, 08:42
3
... | 4 | [
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Brevet US7027494 - Method for generating orthogonal spread codes in mobile communication system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an orthogonal spread code of a CDMA mobile communication system, and more particularly, to a method for generating an LS code via exten... | 4 | [
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0.0067443847... | 16,439 | 16439 | |
Linear Fractional Transformation
Kreizhn
For [itex]a,b,c,d\in \mathbb{R}[/itex] satisfying ad-bc=1 define [itex] T: \mathbb{H}^2 \rightarrow \mathbb{H}^2 [/itex] by
[tex] T(z) = \frac{az+b}{cz+d} [/tex]
Show that T maps that positive y-axis (imaginary axis) to the vertical line [itex] x=\frac{b}{d}, x= \frac{a}{c}[... | 4 | [
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0.011962890625,
-0.07275390625,
... | 16,440 | 16440 | |
novice needs help
November 17th 2009, 05:05 AM #1
Newbie
Joined
Nov 2009
Posts
2
novice needs help
I am needing help with the following six puzzles. Any and all help would be greatly appreciated.
1. Here is a long division sum, showing all the work, and the result. Simple, right? The sum works out e... | 4 | [
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... | 16,441 | 16441 | |
Flexibility Analysis of Piping (Part-2)
Flexibility in Tortion
Let us now consider the deflection of a beam when it is
subjected to bending and tortion. In case of a beam subjected to moments as .shown in figure, the angle θ (The change in slope) is given by;
θ - Angle in radians Homent, 1b inch
M - Moment, 1b inch... | 4 | [
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0.018310546875,
-0.0898437... | 16,442 | 16442 | |
Laplace equations in circular regions: Dirichlet problems on annular regions
April 21st 2009, 09:23 AM #1
Newbie
Joined
Apr 2009
Posts
2
Laplace equations in circular regions: Dirichlet problems on annular regions
show that the steady state solution in the annular region is
u(r,theta)= a_0*((ln(r)-ln... | 4 | [
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Multidimensional multirate systems: characterization. design, and applications
- IEEE TRANSACTIONS ON SIGNAL PROCESSING , 2008
"... We study the invertibility of M-variate Laurent polynomial N × P matrices. Such matrices represent multidimensional systems in various settings such as filter banks, multiple-input
multi... | 4 | [
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0.0490... | 16,444 | 16444 | |
free software for solving three equations of this type...
October 23rd 2007, 01:28 AM #1
Newbie
Joined
Oct 2007
Posts
3
free software for solving three equations of this type...
Hi everybody,
I join you because I need help
I want to solve three equations with three unknown values (x,y,,z) and the... | 5 | [
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0... | 16,445 | 16445 | |
Double check these derivatives
October 1st 2009, 07:39 AM #1
Banned
Joined
Sep 2009
Posts
35
Double check these derivatives
Clearly I'm missing at least one important step.
(1) Find an equation of the line tangent to the curve y1 given below that is parallel to the given line y2.
y1=6x * sqrt(x... | 5 | [
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0.00958251953125,
-0.124511718... | 16,446 | 16446 | |
Application of a Sum Formula
January 6th 2012, 06:03 AM #1
Member
Joined
May 2011
Posts
178
Thanks
6
Application of a Sum Formula
"Write cos(arctan 1 + arccos x) as an algebraic expression." So, I understand that I am to use formula for cos(u + v) because it fits the expression, where u = arctan 1 an... | 4 | [
-0.034423828125,
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... | 16,447 | 16447 | |
Patent US5442363 - Kinematic global positioning system of an on-the-fly apparatus for centimeter-level positioning for static or moving applications
STATEMENT OF GOVERNMENT INTEREST
The invention described herein may be manufactured and used by or for the Government of the United States of America for governmental pur... | 4 | [
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Proving Inequality
Hello UC151CPRFirst, note that for $n\ge0, 3^n\ge1$ $\Rightarrow 2\cdot3^n\ge 2$ (1) Then suppose that $P(n)$ is the propositional function $1+2n\le 3^n$ Then $P(n) \Rightarrow 1+2n + 2 \le 3^n+2$ $\
Rightarrow 1 +2(n+1) \le 3^n + 2\cdot3^n$, using (1) $\Rightarrow 1 +2(n+1) \le 3^n(1+2)=3^{n+1}$ So ... | 4 | [
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-0.042... | 16,449 | 16449 | |
How to treat dy/dx when integrating
August 28th 2013, 02:53 PM #1
Member
Joined
Aug 2009
Posts
101
How to treat dy/dx when integrating
Hello all!
I'm feeling pretty sheepish. I finished calc 3 two years ago and am just starting diff EQ. The first section is kicking my butt pretty hard.
Here's m... | 5 | [
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-0.06... | 16,450 | 16450 | |
Intersection of 3 planes
September 13th 2009, 09:48 AM #1
Senior Member
Joined
Nov 2008
Posts
425
Intersection of 3 planes
Find the intersection of pi1, pi2, pi3, and describe geometrically in each case.
pi1: x+y-z=3
pi2: 2x-y+z=5
pi3: x-2y+2z=6
ok, so this is my work (how does it look?)... | 5 | [
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-0.0732421875,
... | 16,451 | 16451 | |
[(f(x+h) - f(x))/h] versus [(f(x) - f(0))/x]
LearninDaMath
I have this problem, f(x) = (√x) - 2x On some interval [0,1].
One of the things im supposed to do is to show that it's differentiable on the interval.
Now, I am aware that the definition of the derivative is f'(x) = lim as h[itex]\rightarrow[/itex] 0 of [i... | 4 | [
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-0.067... | 16,452 | 16452 | |
Cayley Hamilton Theorem
February 28th 2010, 06:27 PM #1
Cayley Hamilton Theorem
Could someone walk me through why saying for a matrix $A$
if $p(t) = det(tI-A)$,
then $p(A) = det(AI-A) = det(A-A) = 0$
is an invalid proof of the Cayley Hamilton Theorem?
Well if you look at the matrix $A-tI$ you ... | 4 | [
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0.03173828125,... | 16,453 | 16453 | |
proof problem( I dont know what this belong to)
prove lnx < square root of x if x > 0
Last edited by soleilion; April 5th 2008 at 02:42 PM.
ok you have to redefine them.... $\ln(x)=\int_1^{x}\frac{1}{y}dy$ and $\sqrt{x}=\int_0^{x}\frac{1}{2y}dy$$\forall{x}>0$ from there you can see what to do..but then again $\ln(x)\... | 5 | [
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-0.03... | 16,454 | 16454 | |
Some ideas concerning the Goldbach conjecture
Video illustration
Hello,
Me and a friend, David Barrack, are non-mathematicians but we've been having fun lately with the Goldbach conjecture. I thought I'd share some of our tools with you guys, some of you might be
interested in helping us to progress on this problem -... | 4 | [
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0.08935546875,
0.083984375,
-0.0120849609375,
-0.0791015625,
-0.01513671875,
0.03857421875,
-0.03515625,
0.006439208984375,
-0.017822265625,
0.00439453125,
-0.0037689208984375,
-... | 16,455 | 16455 | |
Reducible Polynomials
October 10th 2010, 02:50 AM #1
Member
Joined
Dec 2009
Posts
224
Reducible Polynomials
Let $p$ be a prime. How do we show that the number of reducible polynomials over $\mathbb{Z}_p$ of the form $x^2+ax+b$ is $p(p+1)/2$?
I just know that $\mathbb{Z}_p$ is a field, and a polynomi... | 4 | [
0.044677734375,
-0.030029296875,
0.02880859375,
0.03662109375,
0.0966796875,
0.052734375,
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0.031494140625,
0.00946044921875,
-0.06396484375,
-0.04443359375,
0.04296875,
0.02490234375,
-0.007568359375,
-0.040771484375,
-0.00408935546875,
-0.033447265625,
-0.0284423828... | 16,456 | 16456 | |
Counting Subsets of a Finite Set
Let B be a finite set. Set m= |B|. Prove that B has 2^m subsets. Help?
There are like forty different ways to do this. Three approaches: 1) Let $[k]=\{1,\cdots,k\}$. Show that $2^{[k+1]}$ can be partitioned into two blocks, the elements of $2^{[k]}$ and the elements of
$2^{[k]}$ united... | 5 | [
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-0.04614257... | 16,457 | 16457 | |
Conservative systems
March 10th 2011, 09:19 PM
mukmar
Conservative systems
A charged particle moves along a line joining two charged particles which are fixed at the locations $x = 0$ and $x = a > 0$. Assume the interactions between the moving charged particle and each
of the fixed charges is repulsive and o... | 4 | [
-0.0181884765625,
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0.0003490447998046875,
... | 16,458 | 16458 | |
Patent US7476248 - Method of calculating the required lens power for an opthalmic implant
BACKGROUND OF THE INVENTION
This invention relates generally to the field of ophthalmic lenses and, more particularly, to toric intraocular lenses (e.g. pseudophakic IOL, AC phakic IOL, PC phakic IOL, Iris-fixed IOL and etc.).
T... | 4 | [
-0.049560546875,
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-0.01544189453125,
-0.0034027099609... | 16,459 | 16459 | |
Conservation of momentum
bobie
Could you ,please, be more explicit AT?
suppose the spinning ball (m1=1) has a spoke .2m long and v 10 m/s: then KE=50, p=10, L = 2
m2 (at rest) has a spoke .1 m long
what happens
To be clear, this is not a "spinning ball". This is a 1 kg ball that is fixed to a massless spoke that is... | 5 | [
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0.12890625,
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0.01904296... | 16,460 | 16460 | |
Stats: Normal Approximation to Binomial
Recall that according to the Central Limit Theorem, the sample mean of any distribution will become approximately normal if the sample size is sufficiently large.
It turns out that the binomial distribution can be approximated using the normal distribution if np and nq are bo... | 4 | [
0.08349609375,
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0.03637695312... | 16,461 | 16461 | |
Physics Lab: what happens if we ignore gravity?
tahayassen
Well, I wasn't asking for an easier one necessarily. I was just wondering if there was any alternative to the sine function.
I'm still confused to why gravity doesn't affect dynamic motion. I've uploaded a diagram.
The first question is answered by the the... | 5 | [
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0.0... | 16,462 | 16462 | |
Is "is homomorphic to" an equivalence relation?
January 9th 2013, 08:29 AM #1
Junior Member
Joined
Aug 2012
From
us
Posts
66
Is "is homomorphic to" an equivalence relation?
Is "is homomorphic to" an equivalence relation? (Hint: the difficulty is to decide on an appropriate meaning for the quoted phra... | 5 | [
-0.07373046875,
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Population Model
September 20th 2007, 04:45 AM
fifthrapiers
Population Model
We have a population model given by the differential equation:
dP/dt = (k*cos(t))*P, where k is a pos. constant, and P(T) undergoes yearly seasonal changes.
Assume that P(0) = P_(0).
1.) Solve the Dif. Equation and graph ... | 4 | [
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-0.051025390625,
-0.0654296875,
-0... | 16,464 | 16464 | |
Linear equations using addition
Register to reply
by uperkurk
Tags: addition, equations, linear
P: 159 I'm probably making a silly mistake or Wolfram Alpha is lying to me.
Question: Find the value of ... | 4 | [
-0.06689453125,
0.01470947265625,
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-0.004730224609375,
-0.016357421875,
-0.004791259765625,
-0.11621093... | 16,465 | 16465 | |
Bit of help please, rule
February 4th 2010, 12:39 PM #1
Member
Joined
Oct 2007
Posts
188
Bit of help please, rule
Ok, so how to do we use the quotient rule to show that this function
$g(x) = \frac{e^{(20-x/36)}}{(5+x)^2}$................ $(x>-5)$
has derive.
$k '(x) = \frac{(14+5x-x^2)e^{x... | 5 | [
-0.035888671875,
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-0.028564453125,
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0.00421142578125,
-0.0087280273... | 16,466 | 16466 | |
Check my work please
January 27th 2010, 11:31 AM #1
Junior Member
Joined
Aug 2007
Posts
37
Check my work please
1. Using the laws of indices, remove the brackets from $(x^3y^7)^4$
$(a^mb^n)^k = a^{mk}b^{nk}$
$(x^3y^7)^4 = x^{34}y^{74}$
2. Transpose the formula $v = \sqrt{x+2y}$ for y
... | 4 | [
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0.03564453125,
... | 16,467 | 16467 | |
Would someone be willing to help me with my Trigonometry makeup work?
March 21st 2012, 05:52 PM #1
Newbie
Joined
Mar 2012
From
TN
Posts
7
Would someone be willing to help me with my Trigonometry makeup work?
I was pretty sick the past few days and had to miss a few days. Going through my makeup work,... | 4 | [
-0.04052734375,
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0.0211181640625,
0.0... | 16,468 | 16468 | |
Re^2: Search for identical substrings
... | 5 | [
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0.02758789... | 16,469 | 16469 | |
Two curves, centroid, integration
March 12th 2013, 02:16 PM #1
Member
Joined
Sep 2011
Posts
75
Two curves, centroid, integration
26-4-15
Find centroid of region bounded by following curves:
y = 4x^2
y = 2x^3
I found two y intercepts: x = 2 and x = -2
obvious x intercept is zero
... | 5 | [
0.042724609375,
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-0.0... | 16,470 | 16470 | |
Chain rule
October 19th 2010, 11:25 AM #1
Junior Member
Joined
Jan 2010
Posts
43
Hey,
I am currently having difficulties applying the chain rule to problems from what i can gather the chain rule is the derivative of the inside multiplied by the derivative of the outside
I tried working through a ... | 5 | [
0.0123291015625,
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-0.0... | 16,471 | 16471 | |
Extension Sliding Mode Controller for Maximum Power Point Tracking of Hydrogen Fuel Cells
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 371064, 8 pages
http://dx.doi.org/10.1155/2013/371064
Research Article
Extension Sliding Mode Controller for Maximum Power Point Tracking of Hydrogen Fuel Cells
Depar... | 4 | [
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-0.01434326171875... | 16,472 | 16472 | |
Physics Forums - (y')^2+y^2=-2 why this equation has no general solution ?
young_eng Oct15-10 05:41 PM
(y')^2+y^2=-2 why this equation has no general solution ?
hi
(y')^2+y^2=-2
why this differential equation has no general solution ?
Pengwuino Oct15-10 07:01 PM
Re: (y')^2+y^2=-2 why this equation has no g... | 5 | [
-0.0546875,
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Patent US6473753 - Method and system for calculating term-document importance
CROSS-REFERENCE TO RELATED APPLICATION
This application claims the benefit of pending U.S. Provisional Application No. 60/103,718, filed Oct. 9, 1998, which application is incorporated by reference in its entirety.
TECHNICAL FIELD
This inv... | 4 | [
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-0.0561523... | 16,474 | 16474 | |
Integration by parts or by Substitution
November 17th 2010, 03:40 AM #1
Junior Member
Joined
Oct 2010
Posts
28
Integration by parts or by Substitution
$\int_{1}^{4} (x^2-2) *ln(x) \, dx$.
Which type of integration I should use? and how?
If I dicede to use integration by substitution:
u= $x^2-... | 5 | [
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0.... | 16,475 | 16475 | |
Differential forms, help finding the exterior dervative in dimensions greater than 3
saminator910
hopefully this will clarify, for this 4-form
[itex]\alpha=x_{1}x_{2}dx_{2}dx_{4} + x_{3}x_{4}dx_{1}dx_{2}[/itex]
how would one go about finding the exterior derivative? I have no idea which partials to put where, this... | 5 | [
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0.00634765625,
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-0.0654296875,... | 16,476 | 16476 | |
A Simple Stochastic Climate Model: Deriving the Backbone
July 2, 2013 by climatesight
Last time I introduced the concept of a simple climate model which uses stochastic techniques to simulate uncertainty in our knowledge of the climate system. Here I will derive the backbone of this
model, an ODE describing the respo... | 4 | [
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0.00... | 16,477 | 16477 | |
Linear Dependence & independence
March 18th 2009, 03:19 PM
Craka
Linear Dependence & independence
The question is to determine whether the following vectors are linearly dependent or linearly independent.
The vectors are
{(1, 2, 3, 4), (2, 3, 4, 5), (3, 4, 5, 6), (4, 5, 6, 7)}
I put into matrix for... | 5 | [
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Patent US5140542 - Method and device for the arithmetical calculation of two-dimensional transforms
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method and a device for the arithmetical calculation of two-dimensional transforms.
2. Description of Related Art
In many field... | 4 | [
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0.154296875,
... | 16,479 | 16479 | |
Patent US4476538 - Trigonometric function generator
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to an electrical circuit for generating an output signal corresponding to a trigonometric function of an angle input signal. More particularly, this invention relates to a
circuit which can... | 4 | [
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0.... | 16,480 | 16480 | |
Adding a condition to make a set theory identity true
November 28th 2013, 11:17 AM #1
Member
Joined
Apr 2010
Posts
116
Thanks
1
Adding a condition to make a set theory identity true
Let A, B, and C be sets. The formula
$A-(B-C) = (A-B)\cup C$
is sometimes false. State an additional necessar... | 4 | [
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0.039306640625,
-0.02429199... | 16,481 | 16481 | |
Proof on this word problem
October 16th 2012, 10:08 AM
gfbrd
Proof on this word problem
Hey there I need some help with this proof.
There are 2000 points on a circle, and each point is given a number that is equal to the average of its two nearest neighbors. Show that all the numbers must be equal.
I a... | 5 | [
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-0.04... | 16,482 | 16482 | |
Logarithm Problems
May 9th 2009, 01:11 AM #1
Junior Member
Joined
Sep 2008
Posts
30
Logarithm Problems
Can someone help me?
1. $\log_{4}x - \log_{16}(x+3) = \frac{1}{2}$
2. $\log(x+12) + \log(x-3) = 2$
3. $\log_{x^2}9 - \log_{x}36 = 1$
And for this problem, can you check if I solved... | 4 | [
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Help w/ acceleration formula
You can solve for time by solving the equation quadratically.
Your equation is correct; d is actually (x-x0), the 'distance' you travel from start point to end point. Usually it's the number of meters travelled; for your problem it's the number of cigarettes.
You've got positive velocity ... | 4 | [
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Patente US5442950 - Method and apparatus for determining properties of reservoir rock
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to the field of oil and gas production from subterranean reservoirs. More particularly, the invention is an improved method and apparatus for the determina... | 4 | [
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Four-group stabilized zoom lens design of two focal-length-variable elements
« journal navigation
Four-group stabilized zoom lens design of two focal-length-variable elements
Optics Express, Vol. 21, Issue 6, pp. 7758-7767 (2013)
http://dx.doi.org/10.1364/OE.21.007758
Abstract
We present a theoretical method for a... | 4 | [
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∫(4dx)/sqrt(-4x - x^2)
1. The problem statement, all variables and given/known data
[itex]∫\frac{4dx}{\sqrt{-4x - x^2}}[/itex]
2. Relevant equations
[itex]arcsin(\frac{x}{a}) = \frac{1}{\sqrt{a^2-X^2}}[/itex]
Correct Answer: 4sin^-1[itex]\frac{1}{2}[/itex](x + 2) + c
3. The attempt at a solution
I am completely l... | 5 | [
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Superannuation Geometric Series Question
November 25th 2010, 03:47 AM
rusdev
Superannuation Geometric Series Question
Qu:
An amount of $3000 is invested in a superannuation fund at the start of each year for 18 years. The interest at a rate of 9% p.a. is paid half-year.
How much is the investment worth ... | 5 | [
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One to One functions
September 8th 2009, 06:16 PM
Chinnie15
One to One functions
If f and g are one-to-one functions where f(-7)=6, F(2)=9 and g(-7)=9, then find-
a)g of f^-1(6)
b)f of g^-1(9)
c)f^-1 of g(-7)
I'm confused as to what goes where? I know how to compose functions, but this is con... | 4 | [
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Residue theorem troubles
October 15th 2009, 07:44 PM #1
Residue theorem troubles
Hi. I am trying to evaluate the following integral:
I = $\int_{0}^{\infty } \frac{x^{-p}}{1-2x\cos{\theta}+x^{2} }$
where -1 < p < 1 and 0 < $\theta$ < 2*Pi. One can easily show the following:
$1-2x\cos{\theta}+x^{2}=(x... | 5 | [
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Integrating r^2 exp(-2r/a)
June 27th 2010, 11:33 AM #1
Newbie
Joined
Feb 2010
Posts
11
Integrating r^2 exp(-2r/a)
Integrating in the limits: infinity -> 0
I have tried integration by substitution and get -ar^2/2 exp(-2r/a) + k, which then gives me zero when I apply the limits. Apparently, the final ... | 5 | [
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Physics Forums - View Single Post - Spectrum of linear operators
1. The problem statement, all variables and given/known data
Let A be a linear transformation on the space of square summable sequences [itex]\ell[/itex]^2 such that (A[itex]\ell[/itex])[n] = [itex]\ell[/itex][n+1] + [itex]\ell[/itex][n-1] - 2[itex]\ell[... | 4 | [
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Particles and charge
I just noticed that this looked funny so I did it over:
[tex]F= 6.67x10^{-11}N(m/kg)^2 \frac{(6.60 x10^ {-27}kg)(3.25x10^{-25}kg)} {(9.1x10^{-15})^2} = 1.727x10^-33 N[/tex]
nrqed
Yes (but don't put absolute values...there are no absolute values taken when we calculate potential energy. here it... | 5 | [
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Wolfram Demonstrations Project
Distribution of Discrete Records
Consider a sequence of independent, identically distributed data values , , …. Assume that the data values are from among the non-negative integers 0, 1, 2, … with no upper bound. A value is a
record value (or a high-water mark) if it is the largest value... | 4 | [
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Colour Number Graph
June 1st 2011, 05:19 AM
Dinkydoe
Colour Number Graph
Hey, I'm a little stuck on the following problem:
Let $x_1,\cdots x_{kl+1}$ be n different real numbers. Show there exists a decreasing subsequence with at least k+1 terms, or a increasing sequence of at least l+1 terms. With as hint: ... | 4 | [
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Variational method for geodesics - I'm stuck!
Corals
df/dx_alpha=dg[beta,gamma]/dx_xlpha*dx_beta/du*dx_gamma/du
My question is shouldn't this last term be differentiated with the product rule, so that
df/dx_alpha=dg[beta,gamma]/dx_xlpha*dx_beta/du*dx_gamma/du +
g[beta,gamma]*d/dx_alpha{dx_beta/du*dx_gamma/du}
f is... | 4 | [
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[SOLVED] Algebra homework - please check if these are right ->
August 13th 2008, 05:25 AM #1
Junior Member
Joined
Jul 2008
Posts
37
I'm working on my second homework, as I've mentionned before this is a math class I'm taking to get myself up to college math. I'm starting my master's in Human Ress, but ... | 4 | [
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Patent US7827471 - Determining message residue using a set of polynomials
Publication number US7827471 B2
Publication type Grant
Application number US 11/581,055
Publication date Nov 2, 2010
Filing date Oct 12, 2006
Priority date Oct 12, 2006
Fee status Paid
Also published as CN101162964A, CN10... | 4 | [
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Derivative of a curve traversed in the opposite direction
I hope that this is a foolish question and that someone can make quick meat out of it. If [itex] \gamma: S^1 \to M [/itex] is a loop on an arbitrary manifold M, our goal is to analyze the tangent
vectors to [itex] \gamma [/itex] when the loop is traversed in the... | 5 | [
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0... | 16,499 | 16499 |