content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Derivative as a rate of change
October 25th 2009, 10:12 PM #1
Derivative as a rate of change
$s = -t^3 +3t^2 -3t$ with the interval $0\leq t \leq 3$
a. Find the body's displacement and average velocity for the given time interval.
$V=-3t^2 +6t - 3$
$V(0) = - 3$
$V(3) = -32$
Is this all thats... | 4 | [
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0.0101318359375,
-0.018310546875,
-0.0103759765625,
-0.033935546875,
0.003814697265625,... | 17,500 | 17500 | |
Linear Momentum and the center of mass
On a horizontal air track, a glider of mass m carries a post shaped like an inverted "L". The post supports a small dense sphere, also of mass m, hanging just above the top of the glider on a cord of
length L. The glider and sphere are initially at rest with the cord vertical. A c... | 4 | [
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0.068359375,
... | 17,501 | 17501 | |
minimal polynomials
March 5th 2009, 05:30 PM #1
Member
Joined
Oct 2008
Posts
130
minimal polynomials
Let V be a finite dimensional vector space over the field F, with dim(V)=n. We know that End(V), the space of linear transformations from V to itself. dim(End(V)) is n^2.
The minimal polynomial of a ... | 4 | [
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-0.0211181640625,... | 17,502 | 17502 | |
Determining the interval on which a function is increasing
April 18th 2009, 02:04 PM #1
Junior Member
Joined
Apr 2009
Posts
37
Determining the interval on which a function is increasing
I need to determine the interval on whhich f(x) = x - x^(-2) is increasing. I think I should first get the derivative: ... | 4 | [
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0.039306640625,
-0.0... | 17,503 | 17503 | |
The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 695183, 20 pages
http://dx.doi.org/10.1155/2012/695183
Research Article
The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
Depa... | 5 | [
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0.03466796... | 17,504 | 17504 | |
Impulse Response
I'm assuming you want an explicit solution for h(t)
there are other ways to solve that differential equation, but in signal processing courses you're usually taught to use laplace transforms.
assuming initial conditions are 0
you would get
(1/4)[s*H(s)-h(0)] + H(s) = 1/s
(1/4)[s*H(s)] + H(s) = 1/s
H... | 4 | [
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0.048095703125,
0.008483... | 17,505 | 17505 | |
pressure
Flow in valves and fittings
Pressure drop or head loss is proportional to the velocity in valves or fittings. For the most engineering practices it can be assumed that pressure drop or head loss due to flow of fluids in
turbulent range through valves and fittings is proportional to square of velocity.
To a... | 4 | [
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0.1196289... | 17,506 | 17506 | |
why does it work only when h tends to zero????
June 16th 2013, 11:50 PM #1
Junior Member
Joined
Jun 2013
From
india
Posts
34
Thanks
5
why does it work only when h tends to zero????
$f(x + h) = xf(x)\\<br /> Ef(x) = xf(x)\\<br /> E = x\\<br /> \ln E = hD\\<br /> \ln x = hD\\<br /> f(x) = y\\<br />... | 5 | [
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... | 17,507 | 17507 | |
Patent US5963930 - Apparatus and method for enhancing transfer function non-linearities in pulse frequency encoded neurons
This is a continuation of application Ser. No. 08/124,832, filed Sep. 21, 1993, now abandoned, which is a continuation of application Ser. No. 07/721,145, filed Jun. 26, 1991, now abandoned.
BACKG... | 4 | [
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... | 17,508 | 17508 | |
Interaction terms in nonlinear regression models
Say you wish to estimate a model with a binary dependent variable. You recall that you ought not use OLS primarily because OLS will not bound your predicted values between zero and one. So you use a
nonlinear variant, say, probit. But you also recall that it doesn’t matt... | 5 | [
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-0.1... | 17,509 | 17509 | |
Laser:population rate equation
1. The problem statement, all variables and given/known data
Simultaneous Laser Emission on Two Lines
Consider the multi-level system show in the figure where amplification can occur at frequencies [tex]\omega_{12}[/tex] and [tex]\omega_{21}[/tex]. The arrow "triplets" are meant to indica... | 4 | [
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polar coordinates
any one here good with finding area of surface of revolution or arc length in polar coordinate system?
I finally got one of the problems I was working on. Now stuck on find the length of the curve over the given interval. r=8(1+cos theta) [0, 2pi] r=8+8 cos theta r`=-8 sin theta Arc length= 2 $\int_0... | 4 | [
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0... | 17,511 | 17511 | |
Help find the algorithm
July 29th 2009, 02:47 AM #1
Newbie
Joined
Jul 2009
Posts
2
Help find the algorithm
Hi all,
I have two numbers X and Y. The total of these two numbers cannot go over 500. I need a generic way of calculating that when (X * 3) + Y is greater than 500, I move part of X into Y so ... | 4 | [
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Patent US20030200804 - MEMS gyroscope with parametric gain
FIELD OF THE INVENTION
[0001] The present invention relates to microelectromechanical gyroscopes, and in particular to a microelectromechanical gyroscope having parametric gain.
BACKGROUND OF THE INVENTION
[0002] Microelectromechanical (MEMS) gyroscopes are ... | 4 | [
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-0.0148315429687... | 17,513 | 17513 | |
Patent US20090222372 - Method of Creating and Trading Derivative Investment Products Based on a Statistical Property Reflecting the Volatility of an Underlying Asset
RELATED APPLICATIONS
The present application is a continuation of U.S. patent application Ser. No. 11/601,284 (still pending), filed Nov. 17, 2006, the e... | 4 | [
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0.00363... | 17,514 | 17514 | |
Differential equation resembling to cycloid
Register to reply
by tom-73
Tags: cycloid, differential, equation, resembling
P: 2 What is the function corresponding to this ODE:
In complex notation it... | 4 | [
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-0.0135498046875,... | 17,515 | 17515 | |
Unbounded linear operator
March 29th 2011, 11:23 PM #1
Member
Joined
Sep 2009
Posts
161
Unbounded linear operator
Dear Colleagues,
Could you please help me in solving the following problem:
Let $X$ and $Yeq \{0\}$ be normed spaces, where $dimX=\infty$. Show that there is at least one unbounded l... | 5 | [
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Sum of unknowns
May 14th 2009, 05:50 AM #16
I've edited the original question because there was a mistake in it.
Can x and y be determined if it is given that there are 65 positive values which the sum of a non-negative multiple of x and a non-negative multiple of y cannot give
I.e. Nx + My has 65 unatt... | 4 | [
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Patent US5331346 - Approximating sample rate conversion system
BACKGROUND OF THE INVENTION
The present invention concerns a system for resampling one sampled data signal to generate another sampled data signal where the two sampled data signals have different sample rates, and in
particular, to such a system which res... | 4 | [
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Product of dirac delta distributions
I'm told that a product of distributions is undefined. See,
http://en.wikipedia.org/wiki/Distrib...multiplication
where the Dirac delta function is considered a distribution.
Now the Dirac delta function is defined such that,
[tex]\[
\int_{ - \infty }^{ + \infty } {{\rm{f(x}}_1... | 5 | [
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Re: Challenge: Simple algorithm for continuing series of integers
in reply to Challenge: Simple algorithm for continuing series of integers
BTW, this test case is wrong:
[[0, 1, 1, 2, 3],... | 4 | [
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0.003... | 17,520 | 17520 | |
Question on having the root of a variable in denominator
January 29th 2013, 01:51 AM #1
Junior Member
Joined
Jan 2013
From
adelaide
Posts
26
Hi, Ive just been learning how to do some derivatives and have become stuck on a question because i think I dont understand some algebra.
ok question is fin... | 4 | [
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Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 830237, 11 pages
http://dx.doi.org/10.1155/2013/830237
Research Article
Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Ve... | 5 | [
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Repairable Queueing System with Variable Breakdown Rates
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 173407, 10 pages
http://dx.doi.org/10.1155/2013/173407
Research Article
The M/M/ Repairable Queueing System with Variable Breakdown Rates
^1School of Science, Yanshan University, Qinhuangd... | 4 | [
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Analytic Model for Conduction Current in AlGaN/GaN HFETs/HEMTs
Active and Passive Electronic Components
Volume 2012 (2012), Article ID 806253, 11 pages
http://dx.doi.org/10.1155/2012/806253
Research Article
Analytic Model for Conduction Current in AlGaN/GaN HFETs/HEMTs
Department of ECE, North Carolina State Univers... | 4 | [
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Load, elasticity, strain, strength
1. The problem statement, all variables and given/known data
A continuous and aligned glass reinforced composite consists of 40 volume % of glass fibers, having modulus of elasticity = 10 X 10^6 psi and 60 volume % of polyester resin that when hardened,
displays a modulus of elasticit... | 5 | [
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0.0092163... | 17,525 | 17525 | |
Prove the following equation
October 25th 2012, 10:22 AM #1
Newbie
Joined
Oct 2012
From
Poland
Posts
2
Prove the following equation
Hi. How to prove that equation:
$|AB|^{2} = |QA| * |AE| + |NB| * |BD|$
Additional informations:
$|BN| = |BC|$
$|AQ| = |AC|$
$|AD|$ and $|BD|$ are... | 4 | [
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0.0... | 17,526 | 17526 | |
Evaluate involving arcsech and square roots
August 27th 2009, 04:26 AM #1
Junior Member
Joined
Aug 2009
Posts
29
Evaluate involving arcsech and square roots
How do i evaluate
$<br /> \int_{1}^{x}dz\sqrt{\frac{z}{z^3-1}}<br />$
It is part of a previous question where i prooved that the derivativ... | 5 | [
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0.0869140625,
... | 17,527 | 17527 | |
How to find points on a square given two points
March 8th 2008, 11:05 PM #1
Newbie
Joined
Mar 2008
Posts
7
Hi there,
I am currently in high school and was posed this problem as a challenge to solve. At first it sounded simple but i am really stuck.
A(7,2) C(1,4)
Are the vertices on the diago... | 4 | [
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Determinant inequality of square-product sum of diagonal matrix and upper-triangular matrix
up vote 4 down vote favorite
1
Recently, I have seen a matrix inequality but don't know how to prove it. The inequality goes as follows.
For an arbitrary $n\times n$ diagonal matrix $\mathbf{D}$ and an arbitrary upper-triangul... | 5 | [
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Patent US5796645 - Multiply accumulate computation unit
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to digital computational units that perform series of multiplies, additions, and subtractions on groups of input operands. These units provide high speed and efficiency
necessary for co... | 4 | [
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0.0971679... | 17,530 | 17530 | |
Area HELP
January 20th 2008, 01:34 PM #1
Newbie
Joined
Jan 2008
Posts
10
Area HELP
Area HELP
800cm(cubed) of milk is to be stored in a container.
what area of metal is required to make a carton 16 cm high of square cross-section so that it will hold the milk?
Say the side of the squar... | 4 | [
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0... | 17,531 | 17531 | |
Transmission of Infectious Diseases En Route to Habitat Hotspots
Abstract
Background
The spread of infectious diseases in wildlife populations is influenced by patterns of between-host contacts. Habitat “hotspots” - places attracting a large numbers of individuals or social groups -
can significantly alter contact pa... | 4 | [
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separable equations (DFQ)
January 19th 2009, 09:31 AM
cheertcc101
separable equations (DFQ)
Alright so I have this equation and I need to solve it using the separable equation method ...
sin(x)dy/dx + ycos(x) = xsin(x)
I tried to separate the equation and got this ...
(1/y)dy = cos(x)/(sin(x)-xsin... | 5 | [
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-0.0116577... | 17,533 | 17533 | |
Virial Theorem
1.They define something called called 'scalar moment of inertia around the origin', I. It looks similar to moment of inertia around an axis in mechanics but not quite.
2. The first derivative G = (1/2) dI/dt is called 'virial'. They prove that the first derivative of the virial, dG/dt, i.e. the second t... | 4 | [
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0.0066223... | 17,534 | 17534 | |
Prove that Operators are Hermitian
I'm sorry, but I made a big mistake. The last thing I intended to do was confuse you, but I think I might have done so.
In my two most recent posts, I mistakenly wrote,
[tex] \left[ \left( \frac{d}{dx} \right) g(x) \right]^* =g^*(x) \left(\frac{d}{dx} \right) \mathrm{\ \ \ \ \ [sic]... | 5 | [
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0.087... | 17,535 | 17535 | |
Primes in set of rational numbers
c) Write an element,
[tex]p = 2^n \frac{a}{b}[/tex]
where a and b are odd. If n>1, then let, [itex]x = 2^{n-1}[/itex] and [itex]y =2[/itex]. Then [itex]p | xy[/itex], but [itex]p \not | x[/itex] and [itex]p \not| y[/itex]. Thus p is not a prime if n>
1.
If n=1, and, p|xy, then either x... | 4 | [
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Frequency response analyser with multiplying digital to analogue converter - Patent # 4868487 - PatentGenius
Frequency response analyser with multiplying digital to analogue converter
4868487 Frequency response analyser with multiplying digital t... | 4 | [
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0.01647949... | 17,537 | 17537 | |
Potential function
April 26th 2009, 12:35 PM #1
Super Member
Joined
Jun 2008
Posts
829
Potential function
Find a potential function
$F(x,y,z) = (yz)i + (xz+z)j + (xy+y-1)k$
My solution:
$rotF = [(x+1)-(x+1)]i - [y-y]j + [z-z]k$
$rotF = (0,0,0)$ is conservative
$\frac{ \partial \ph... | 5 | [
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-0.0654296875... | 17,538 | 17538 | |
Integrating a fraction/square roots when 'x' is on the bottom
April 28th 2009, 05:35 PM #1
Newbie
Joined
Apr 2009
Posts
7
Integrating a fraction/square roots when 'x' is on the bottom
How would I transpose this formula so I can integrate it? I'm not good with integrating fractions or square roots.
I... | 5 | [
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0.0322265625,
0.09033203125,
-0.0544... | 17,539 | 17539 | |
Poisson Distribution
September 14th 2008, 10:37 PM #1
Poisson Distribution
Let $X$ be a Poisson distribution. Show that $P\{X=k\}$ increases as it approaches to $\lambda$, reaching it's max when k is the largest integer less then $\lambda$ then decrease as $k > \lambda$
Hint: Consider $\frac{P\{X=k\}}{P\{X=k... | 5 | [
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0.002807617187... | 17,540 | 17540 | |
Derivatives / Integrals / Transforms
28.4 Derivatives / Integrals / Transforms
Octave comes with functions for computing the derivative and the integral of a polynomial. The functions polyder and polyint both return new polynomials describing the result. As an example we’ll
compute the definite integral of p(x) = x^2... | 5 | [
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0.1103... | 17,541 | 17541 | |
Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 307981, 14 pages
http://dx.doi.org/10.1155/2013/307981
Research Article
Global Exponential Stability of Almost Periodic Solutions for SICNNs wi... | 5 | [
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matrix products
August 24th 2007, 09:12 AM
kamaksh_ice
matrix products
if A and B are n* n matrix, and AB is not equal to BA . and ABA is equal to A^2B; BAB is equal to B^2 A; then prove that A+B is not invertible.
August 24th 2007, 10:33 AM
red_dog
I think is not true.
Let $A$ such that $A^2eq A$ and... | 5 | [
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-0.00952... | 17,543 | 17543 | |
Integration help needed
November 17th 2007, 02:58 PM #1
Newbie
Joined
Sep 2007
Posts
17
Integration help needed
Hey guys, I need some help with some integration problems. Some I could solve already but there are two where I need help. If you can help me, however, please don't just say me: integrate this,... | 5 | [
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0.0267... | 17,544 | 17544 | |
Integration by parts
March 30th 2009, 12:13 PM #1
Junior Member
Joined
Sep 2008
Posts
29
Integration by parts
I am struggling with this question
a(t)= t/10e^t/10 so v(t) I think is the integral of this?
can somebody explain this to me using integration by parts
Do you mean $a(t) = \frac{t}{1... | 5 | [
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0.0260009765... | 17,545 | 17545 | |
Help understanding proof involving Maxwell equation
You missed one:
$$ \left( \frac{1}{c^2}\frac{\partial^2}{\partial t^2}-\nabla^2 \right)\vec B = 0\\
\implies \frac{1}{c^2}\frac{\partial^2}{\partial t^2}\vec B =\nabla^2\vec B\\
\implies \frac{1}{c^2}\frac{\partial^2}{\partial t^2}\vec B = \nabla(\nabla\cdot\vec ... | 4 | [
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-0.03442382812... | 17,546 | 17546 | |
find remainder
Find r when 319^566 is divided by 37. I can get it down to (11^2)^283*(29^2)^283.
Hello, frankdent1! Are you allowed to use Modulo Arithmetic? Find the remainder when $319^{566}$ is divided by $37.$ We find that: . $319^6 \:\equiv \:-1 \pmod{37}$ Then: . $319^{566} \:=\:319^{6\
cdot94 + 2} \:=\:<br /> (... | 5 | [
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Compute eye space from window space
From OpenGL.org
This page will explain how to recompute eye-space vertex positions given window-space vertex positions. This will be shown for several cases.
Definitions
Before we begin, we need to define some symbols:
Symbol Meaning
M The projec... | 4 | [
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Node-voltage Method, some misconception?
Nodal analysis is exactly the same think as node-voltage method.
And we can choose any node we want as a reference point (GND).
See the example
We have a four nodes in our circuit. I pick as a reference point (GND) node 4.
So node 4 by dedefinition has a potential of 0 V.
S... | 5 | [
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-0.0986328125,... | 17,549 | 17549 | |
calculus help!!!
October 25th 2008, 12:58 AM #1
Newbie
Joined
Sep 2008
Posts
18
calculus help!!!
Hi,
1.) Let R be the region in the xy plane that is outside the circle x^2+y^2=1 but inside the circle x^2+y^2=2 . Evaluate the double integral
double integration over R {1/x^2+y^2}dA
2.) Evalu... | 5 | [
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0.01495361328125,
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-0.041015625,
-0.08642578125... | 17,550 | 17550 | |
Time
Time Scales in Satellite Geodesy
In general there are three different time systems that are used in space geodesy:
See Figure 1 for a diagrammetric representation of the relationship between the time systems.
Dynamical Time
Dyn... | 4 | [
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... | 17,551 | 17551 | |
plz solve these problems.....
January 22nd 2009, 12:53 AM #1
Junior Member
Joined
Jan 2009
From
india
Posts
51
plz solve these problems.....
1:Show that union of two subgroups may not be a group?
2:If G is a group and H is a subgroup of index 2 in G,prove that H is normal subgroup of G?
Tak... | 5 | [
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Help: Kinetic Energy and Friction - A block pulled by another on a pulley
^
The pulley makes it so that the second mass exerts a force purely in the x direction, not affecting the normal force. I used left (or down, for the second mass), as the positive direction.
The force exerted by mass m is equal to its mass times... | 4 | [
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... | 17,553 | 17553 | |
Help please?
Find the set of values of x for which $\frac{x}{x-1} > \frac{2}{3-x}$ thank you :)
what about multiplying the both sides by the squared denominators? Ive answered a similar question like you did and my tutor said it was wrong and told me to use the squared method, which confused
the hell outta me. (by squ... | 4 | [
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... | 17,554 | 17554 | |
Target Image Matching Algorithm Based on Binocular CCD Ranging
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 785072, 8 pages
http://dx.doi.org/10.1155/2014/785072
Research Article
Target Image Matching Algorithm Based on Binocular CCD Ranging
^1School of Information Technology, Jilin Agriculture Unive... | 4 | [
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... | 17,555 | 17555 | |
Hi any Ideas where I went wrong (induction)?
February 23rd 2010, 09:43 AM #1
Member
Joined
Dec 2009
Posts
180
Hi any Ideas where I went wrong (induction)?
What is wrong with this solution?
Problem:
Prove that $\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+...+\frac{ n}{2^n} = 2-\frac{n+2}{2^n}$ for $n=... | 5 | [
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-0.042236328125,
0.0... | 17,556 | 17556 | |
Help with formula...(basic algebra)
March 11th 2009, 05:50 PM #1
Newbie
Joined
Mar 2009
Posts
13
Formula is N=t^2-t/2
Problem...if a leage has 45 games scheduled, how many teams belong to the league, assumeing that each team plays every team once?
How do you set this problem up??? if "t" is the ... | 4 | [
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Official Quant Thread for CAT 2011 [Part 8] (New) : PaGaLGuY : The Education Network
Commenting on this post has been disabled.
Commenting on this post has been disabled.
Commenting on this post has been disabled.
Commenting on this post has been disabled.
Commenting on this post has been disabled.
Commenting on ... | 4 | [
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... | 17,558 | 17558 | |
Distance between 2 pullies
The above solution is approximate as already stated. To get an exact solution, consider the attached picture:
1. The small solid circle on the left has radius r, center C1 = (0,0) and equation y^2 = r^2 - x^2. The large solid circle on the right has radius R, center C2 = (d,0) and equation y... | 4 | [
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Dirichlet forms and symmetric Markov processes. de Gruyter
Results 1 - 10 of 177
- FIELDS
"... In this paper, we investigate symmetric jump-type processes on a class of metric measure spaces with jumping intensities comparable to radially symmetric functions on the spaces. The class of
metric measure spaces includes... | 4 | [
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... | 17,560 | 17560 | |
Show event is completly independent of another event
December 2nd 2009, 04:38 PM
zorro
Show event is completly independent of another event
Question :
Show that if the event A is completely independent of events B and C, then A is independent of logical sum $B \cup C$
December 2nd 2009, 09:56 PM
matheagle
... | 5 | [
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-0.099609... | 17,561 | 17561 | |
Last two, I promise (for tonite)
September 13th 2006, 07:40 PM
Suwanee
Last two, I promise (for tonite)
I'm not sure if I know how to write these out, but here goes: (multiply and simplify)
k^2+11k+28 X k^2+8k
k^2+12k+32 X k^2+4k-21
ADD and simplify:
m^2-8m + 15
m-5 m-5
That is m^2-8m ... | 4 | [
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... | 17,562 | 17562 | |
Plotting with complex numbers
December 5th 2011, 05:38 PM #1
Newbie
Joined
Nov 2011
Posts
4
Plotting with complex numbers
Hi, I'm trying to plot a function like (2/3)Z + 1/(3Z^2), where Z is complex.
I understand the basic idea of Z^2 = (x+iy)*(x+iy)= x^2+ 2xyi - y^2 is represented as x^2 - y^2 in t... | 4 | [
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Math Help
January 15th 2009, 01:50 PM #1
Newbie
Joined
Jan 2009
Posts
10
Trig
Can somebody help me do these please.o (greater or equal to) y and (less than or equal to) 360 degrees.
1. sin(x/2)= √3/2
2. 2sin^2(x) - 7sin(x) = -3 when o (greater or equal to) x and (less than or equal to) 360 deg... | 4 | [
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Finding minimum variance unbiased estimator (MVUE)
March 30th 2010, 03:49 PM #1
Newbie
Joined
Mar 2010
Posts
17
Finding minimum variance unbiased estimator (MVUE)
Random sample Y1,....,Yn with pdf:
f(y|θ) = 3y^2/θ^3, 0<y<θ and 0 elsewhere
Given Y(n) = max(Y1,...,Yn) is sufficient for θ,
a) S... | 4 | [
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Quadratic with fractions - completing the square or formula
January 10th 2012, 02:53 AM #1
Doing past papers at the mo & have a quadratic which I am stuck on
find fixed points of f(x) = x^2+(13/12)x-1/2
Now, fixed points are when f(x) = x, so I have subtracted x from both sides
=> x^2 + (1/12)x - 1/2... | 4 | [
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New Limit questions
October 6th 2009, 12:30 PM
Sneaky
New Limit questions
how do you solve the question in the picture?(Itwasntme)
Moderator edit: The question is $\lim_{x \rightarrow - \infty} (x + \sqrt{x^2 + 3x})$.
October 6th 2009, 12:46 PM
tonio
Quote:
First we multiply the expression by ... | 5 | [
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-0.0242919921875,
... | 17,567 | 17567 | |
trigonometric identities
May 7th 2007, 05:12 PM #1
Newbie
Joined
May 2007
Posts
2
trigonometric identities
i have been staring at my book for the past hour waiting for divine inspiration...
you know the identities where for example sin(x) = 1 / csc(x) and cos(x) = 1 / sec(x)
HOW do i apply that... | 4 | [
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0.07... | 17,568 | 17568 | |
Modulus and Argument
December 15th 2008, 07:02 AM
r_maths
Modulus and Argument
Find modulus and argument of: $- 2 - \sqrt {12} i$
$\left| z \right| = \sqrt {( - 2)^2 + ( - \sqrt {12} )^2 } = 4$
$<br /> \tan (Argz) = \frac{y}<br /> {x}<br />$
$Argz = \tan ^{ - 1} \frac{y}<br /> {x} = \tan ^{ - 1} \... | 5 | [
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0.010070800781... | 17,569 | 17569 | |
find the slope of the curve:
April 20th 2009, 03:23 PM #1
Newbie
Joined
May 2005
From
Christchurch kiwiland
Posts
7
find the slope of the curve:
hi i have no idea where to start on this.
please could somebody explain
find the slope on the line tangent to the curve
y = (x^3 -1)(x^2+3x+2)... | 4 | [
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quick limit
September 30th 2007, 06:20 AM #1
Junior Member
Joined
Sep 2007
Posts
38
quick limit
I have to figure out this limit:
Let (an) be a sequence whose limit as n approaches infinity is 1. Suppose that an does not equal 1 for all n in the natural numbers. For any fixed k in the natural numbers,... | 5 | [
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-... | 17,571 | 17571 | |
Patent US6038577 - Efficient way to produce a delayed version of a maximum length sequence using a division circuit
FIELD AND BACKGROUND OF THE INVENTION
The present invention relates to a method and apparatus for producing a delayed version of a sequence of bits, and, more particularly, to a method and apparatus for ... | 4 | [
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sampling distribution
January 22nd 2009, 02:26 PM
chrisc
sampling distribution
Hello
I'm working on a homework question and I am looking for some assistance.
The question refers back to another, but I believe this is all the information below.
n = 20
variance = 1.4
let S^2 denote the sample ... | 5 | [
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-... | 17,573 | 17573 | |
cubic formula
August 23rd 2008, 01:16 AM #1
Junior Member
Joined
Aug 2008
Posts
47
cubic formula
Q). Let a,b,c be the roots of x^3 + 2x^2 + 7x + 1 = 0.
Obtain A^3 +b^3 +C^3
SOLUTION).
a + b + c = -2
ab + bc + ca = 7
abc = -1
Now what is (a + b+ c)^3 = a^3 + b^3 + c^3 ++++++++
... | 5 | [
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Sequence Series Question
Find a geometric series with common ration 1/w that has limiting sum 1/(1-w)
hey mate, good question As Im sure you well aware a geometric series a(n) is defined so that a(n+1) = r * a(n), where r is the common ratio here you have given that r = 1/w thus, a(n+1) = (1/w)a(n)
assuming a(0) = a y... | 5 | [
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I can't figure this out...
October 29th 2008, 01:07 PM #1
Newbie
Joined
Oct 2008
Posts
11
I can't figure this out...
Assume the random variable X is normally distrubted with mean = 50 and standard deviation = 7. Compute its probability.
P(34 < X < 61)?
Compute the z-scores for the endpoints of ... | 5 | [
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-... | 17,576 | 17576 | |
Differentiating through the integral sign
February 21st 2009, 01:28 PM #1
Member
Joined
Feb 2009
Posts
103
Differentiating through the integral sign
Here's the question:
By integrating through the integral sign, evaluate $\int_{0}^\infty (x^2 + a)^{-n} dx$ where n is a positive integer and a > 1.
... | 5 | [
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... | 17,577 | 17577 | |
Concavity of a function
November 6th 2009, 08:59 PM
xxlvh
Concavity of a function
I am to determine the inflection point and intervals where the graph is concave up and concave down, and I have gotten a wrong answer somehow. I'm guessing it's probably when I solved for y'', it
was a very long derivative to s... | 4 | [
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-0.045166015625,... | 17,578 | 17578 | |
having trouble factoring
May 4th 2012, 12:49 PM #1
Newbie
Joined
May 2012
From
california
Posts
7
having trouble factoring
although technically I am working on a calculus problem the problem I'm having is with algebra. a step in my problem requires me to factor this equation:
4x-2(x^2-1)^-1/2=0
... | 4 | [
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... | 17,579 | 17579 | |
fourier transform of f(x)=e^(-ax^2) sin(bx)
October 5th 2011, 04:50 AM #1
Member
Joined
Apr 2008
Posts
204
fourier transform of f(x)=e^(-ax^2) sin(bx)
i need to find the fourier transform of $f(x)=e^{-ax^2} sin(bx)$
i get $F(\lambda) = \frac{1}{\sqrt{2\pi}} \int^{\infty}_{-\infty} e^{-ax^2} sin(bx) ... | 5 | [
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... | 17,580 | 17580 | |
implicit differentiation... a very annoying question
If $x^2y = (x+y)^3$ show that dy/dx = y/x HOW?????? Thanks
Differentiating implicitly: $2xydx+x^2dy=3(x+y)^2dx+3(x+y)^2dy\Longrightarrow(x ^2-3(x+y)^2)dy=(3(x+y)^2-2xy)dx$$\Longrightarrow -(2x^2+6xy+3y^2)dy=(3x^2+4xy+3y^2)dx\Longrightarrow$ $\frac{dy}{dx}=-\
frac{3x... | 5 | [
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-0.... | 17,581 | 17581 | |
Need help on limits......
By direct substitution we have that the limit looks like $\frac{0}{0}$ so we may use L'Hopital's rule: $\lim_{x \to 1} \frac{\sqrt[3]{x} - 1}{x-1} = \lim_{x \to 1} \frac{ \frac{1}{3} x^{-2/3} }{1} =
\frac{1}{3} 1^{-2/3} = \frac{1}{3}$ If that doesn't work for you, (this is gonna be weird!) not... | 5 | [
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-0.05029296875,
... | 17,582 | 17582 | |
Proving equations
jgens
Just multiply them together and note that the result is 1. That is sufficient.
Did you misread the question? Multiplying them together gives
[tex]\frac{csc(\theta)- cot(\theta)}{csc(\theta)+ cot(\theta)}[/tex]
which can be
shown
to be equal to 1 but is not obviously so. Did you miss the ... | 4 | [
-0.099609375,
0.064453125,
0.08740234375,
0.0233154296875,
-0.0308837890625,
0.06884765625,
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0.00171661376953125,
0.032470703125,
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0.01239013671875,
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0.040283203125,
0.04541015625,
0.0028076171875,
-0.0703125,
-0.044677734375,
0.09130... | 17,583 | 17583 | |
vector field
November 9th 2009, 08:15 PM
acosta0809
vector field
The question:
For the vector field = -y + x, find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 +
y2 = 36 to the point \( (6)/sqr... | 5 | [
0.00421142578125,
0.0042724609375,
-0.06103515625,
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0.01031494140625,
0.000553131103515625,
0.0181884765625,
0.057373046875,
-0.0361328125,
0.00110626220703125,
0.00872802734375,
0.026611328125,
-0.06884765625,
-0.0732421875,
-0.0181884765625,
0.04345703125,
-0.129882... | 17,584 | 17584 | |
Complex variables - find an additional solution
January 13th 2013, 12:03 PM
Ragnarok
Complex variables - find an additional solution
This is not really a calculus question but I am taking a course in basic complex analysis and this is from the first chapter.
Show that the indicated numbers satisfy the give... | 5 | [
-0.13671875,
0.00225830078125,
-0.0079345703125,
0.1435546875,
0.07177734375,
-0.07763671875,
-0.035888671875,
0.041015625,
0.023681640625,
-0.040283203125,
0.10400390625,
-0.060791015625,
0.007659912109375,
0.08154296875,
-0.0255126953125,
0.002227783203125,
0.00341796875,
0.01940... | 17,585 | 17585 | |
Confusing Matrix Question
March 26th 2010, 08:25 AM #1
Confusing Matrix Question
Let an $n \times n$ determinant be:
$C_n = \left| \begin{array}{cccc} \frac{1}{a_1 + b_1} & \frac{1}{a_1 + b_2} & ... & \frac{1}{a_1 + b_n} \\ \frac{1}{a_2 + b_1} & \frac{1}{a_2 + b_2} & ... & \frac{1}{a_2 + b_n} \\ ... & ... & ... | 5 | [
-0.0830078125,
-0.06689453125,
-0.05859375,
-0.056396484375,
-0.0537109375,
0.039306640625,
0.022216796875,
-0.06103515625,
-0.01080322265625,
-0.046142578125,
-0.00640869140625,
-0.0062255859375,
-0.01507568359375,
-0.037841796875,
-0.107421875,
0.043701171875,
0.059814453125,
-0.... | 17,586 | 17586 | |
Inequality with absolute values
November 27th 2010, 03:31 PM
rcs
Inequality with absolute values
Solve for
|x(x+1)| < |x +4|
[x(x+1)] 2 < (x+4)2
[x(x+1)] 2 – (x+4)2 < 0
[x (x+1) – (x+4)] [x (x+1) + (x+4)] < 0
(x2 + x – x – 4) (x2 + x + x + 4) < 0
(x2 – 4) (x2 + 2x + 4) < 0
the produ... | 4 | [
0.0079345703125,
0.055419921875,
-0.0205078125,
-0.006622314453125,
0.0264892578125,
0.0216064453125,
-0.0291748046875,
0.0732421875,
0.01251220703125,
-0.041015625,
0.001953125,
-0.0218505859375,
0.13671875,
0.053466796875,
-0.015625,
0.00909423828125,
0.004791259765625,
-0.056640... | 17,587 | 17587 | |
density for order stat, sufficient stat, MLE question
March 10th 2011, 06:15 PM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
density for order stat, sufficient stat, MLE question
Pls take a look, this is an exam practice question but no answer is provided.
Question.
Let $Y_1, .... | 5 | [
-0.041748046875,
-0.058837890625,
0.022216796875,
-0.05322265625,
0.0322265625,
0.017333984375,
0.03662109375,
-0.0299072265625,
-0.012451171875,
-0.01434326171875,
0.06494140625,
-0.00897216796875,
-0.0002384185791015625,
-0.0147705078125,
-0.00083160400390625,
0.02294921875,
0.0324... | 17,588 | 17588 | |
Algebra Proofs
August 1st 2008, 02:23 AM
magentarita
Algebra Proofs
(1) If f(x) = a^x, show that f(A + B) = f(A) * f(B)
(2) If f(x) = a^x, show that f(Ax) = [f(x)]^A
August 1st 2008, 02:39 AM
nikhil
Quote:
f(x) = a^x
f(A + B)=a^(A + B)
=a^A*a^B
but a^A =f(A) and a^B=f(B)
putting... | 4 | [
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0.076171875,
-0.031494140625,
-0.01806640625,
0.0810546875,
-0.054931640625,
-0.0257568359375,
0.06005859375,
0.07373046875,
-0.046875,
0.010498046875,
0.0223388671875,
0.06640625,
0.07470703125,
-0.130859375,
0.04296875,
-0.073... | 17,589 | 17589 | |
[SOLVED] speed & velocity
February 25th 2008, 01:29 PM #1
cst301
Guest
Using standard eq. v=s/t can a vehicle accelerate to a speed of 114m/hr in a distance of .9tenth of a mile.
Well of course it's possible.
First we have the following information:
$\text{Initial Speed }= 0 \frac{m}{hr}$
$\... | 4 | [
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0.06640625,
0.029541015625,
-0.07568359375,
-0.00070953369140625,
0.0546875,
0.037... | 17,590 | 17590 | |
percentage % of a number
March 24th 2009, 03:19 AM
lambofgod
percentage % of a number
okay i'm currently studying for a ASVAB test for the military. and they have questions like the one below,
" what number is 5% of 2000 "
how would i solve for something like that?
or they have
" 35% of what ... | 4 | [
0.046142578125,
0.0255126953125,
0.0126953125,
-0.0255126953125,
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0.021484375,
0.0859375,
0.035888671875,
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0.08154296875,
0.0400390625,
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0.06396484375,
0.08349609375,
0.024658203125,
0.04296875,
-0.0177001953125,
-0.003936767578125,
-0.1... | 17,591 | 17591 | |
Confusion in Series
January 23rd 2008, 07:55 PM #1
Member
Joined
Sep 2007
Posts
198
Confusion in Series
Given that $Ur = r (2r + 1) + 2^{r + 2}$, find
n
∑Ur
r=1
I’ve done but I’m confused about my answer. Please tell me is it wrong or right.
I got $\frac{1}{6} n(n + 1) (4n + 5) + 2^{... | 4 | [
-0.0869140625,
0.022216796875,
0.0159912109375,
0.05126953125,
0.017578125,
0.0286865234375,
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0.016357421875,
0.03857421875,
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0.048828125,
-0.046630859375,
-0.09912109375,
-0.003662109375,
-0.09375,
0.0585... | 17,592 | 17592 | |
1. Introduction2. Materials and Methods2.1. Materials2.2. Preparation of Hybrid Copolymer2.3. Characterization of Hybrid Copolymer2.4. Wastewater Source2.5. Wastewater Flocculation2.6. Response Surface Methodology3. Results and Discussion3.1. FTIR Spectra3.2. Morphological Analysis3.3. Statistical Analysis3.4. Analysis... | 4 | [
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0.0546875,
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0.04736328125,
-0.03955078125,
-0.047607421875,
-0.01080322265625,
-0.04150390625,
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0.03759765625,
-0.10009765625,
-0.053955078125,
0.06640625,
0.019042... | 17,593 | 17593 | |
Sequences (F#)
A sequence is a logical series of elements all of one type. Sequences are particularly useful when you have a large, ordered collection of data but do not necessarily expect to use all the elements.
Individual sequence elements are computed only as required, so a sequence can provide better performance ... | 5 | [
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-0.0201416015625,
-0.053955078125,
-0.0299072265625,
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0.060302734375,
0.009521484375,
0.0155029296875,
0.07373046875,
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0.026611328125,
0.0020751953125,
0.00701904296875,
0.03076171875,
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-0.0142822265625,
-... | 17,594 | 17594 | |
calculus word problem, help plz?
October 18th 2009, 05:01 PM
sid2010
calculus word problem, help plz?
AP Calculus help anyone?
1.Use the position function s(t) = -16(t)^2 + vo(t) + so for free- falling objects.
Question - A ball is thrown straight down from the top of a 220-foot building with an initial... | 4 | [
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0.038818359375,
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0.1220703125,
0.0216064453125,
0.0201416015625,
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0.00189971923828125,
0.058349609375,
-0.0211181640625,
-0.005828857421875,
0.0354003906... | 17,595 | 17595 | |
An Integral Inequality #1
Assume $f \in C^{(1)} ([0,1])$,and $f(0)=0,f(1)=1,$ then $\int_0^1 |f(x)-f'(x)| dx \geq \frac{1}{e}$ thanks very much
Use the fact that $\forall x \in [0,1], |e^{-x}(f(x) - f'(x))| \leq |f(x) - f'(x)|$ $\Rightarrow \int^1_0 |e^{-x}(f(x) - f'(x))|\, dx \leq \int^1_0|f(x) - f'(x)|\, dx$ $\Right... | 5 | [
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0.0218505859375,
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0.04150390625,
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... | 17,596 | 17596 | |
Solving Equations - using addition property
February 19th 2006, 02:40 PM
Euclid Alexandria
Solving Equations - using addition property
Obviously I don't know what I'm doing here. The book gives an answer of -8, so any hints on where my method is flawed would be appreciated.
z + 9 = 1
z + 9 = + (-1) = 1 ... | 4 | [
-0.1376953125,
0.0732421875,
0.045166015625,
0.06298828125,
-0.0025177001953125,
-0.04052734375,
0.01531982421875,
0.04736328125,
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0.0439453125,
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0.040283203125,
0.006683349609375,
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-0.06396484375,
-0.08203125,
-0.022460937... | 17,597 | 17597 | |
Latin American applied research
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versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.33 n.4 Bahía Blanca oct./dic. 2003
A new approach to Wiener-like modeling
L. R. Castro^1,O. E. Agamennoni^2, and C. E. D'Attellis^3
^1 Dto. de Matemá... | 4 | [
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0.0810546875,
0.003326416015625,
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-0.018310546875,
0.015625,
0.08203125,
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0.01531982421875,
0.0281982421875,
0.057861328125,
-0... | 17,598 | 17598 | |
Express Area as a function of r
HallsofIvy
The wording you gave was clear. You have a rectangle with a semicircle at each end of radius r. That end of the rectangle, then, has length 2r. For the moment call the length of the other sides l.
Then the area of the two semi-circles totals [itex]\pi r^2[/itex] and the are... | 4 | [
0.08154296875,
0.02783203125,
0.017822265625,
0.020751953125,
0.045166015625,
0.003570556640625,
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0.099609375,
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0.061279296875,
0.08984375,
0.029541015625,
-0.049560546875,
-0.0181884765625,
-0.00598... | 17,599 | 17599 |