content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
trigonometry and bearings
March 7th 2009, 09:28 PM #1
Newbie
Joined
Mar 2009
Posts
2
I really need help with this. The homework question reads:
A surveyor wants to find the distance across a swamp. The bearing from A to B is N32degreesW. The surveyor walks 50 meters from A and at the point C the beari... | 4 | [
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2 triangles
November 7th 2009, 09:41 PM #1
Senior Member
Joined
Jan 2009
Posts
381
2 triangles
THe diagram shows triangle ABC where points A , B , C and P are coplanar . BC=BP=AP and angle BAC =angle ABP = angle PBC = pi/5 rad
Prove that triangle ABC and BPC are similar triangles . Hence deduce that... | 4 | [
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modular proof
March 23rd 2009, 02:35 PM #1
Newbie
Joined
Mar 2009
Posts
8
Prove that if a=bmodn and c=dmodn then a+c=b+dmodn and ac=bdmodn
My solution for the first part is:
n|(a-b) so (a-b)=nq and n|(c-d) so (c-d)=np
so (a-b) +(c-d)=nq+np
(a+c)-(b+d)=n(q+p)
So n|[(a+c)-(b+d)]
... | 4 | [
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Integral (sin x/2 - cos x/2)^2
b0rsuk
1. The problem statement, all variables and given/known data
I'm unable to solve this integral. I get a result, but it doesn't match the solution.
\int(sin \frac{x}{2} - cos \frac{x}{2})^2 \mathrm{dx}
[tex]\int(sin \frac{x}{2} - cos \frac{x}{2})^2 \mathrm{dx}[/tex]
3. The att... | 5 | [
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Physics Forums - View Single Post - Small Sample Size
[tex]\begin{tabular}{lcr}
418 & 421 & 422 & 425& 427 & 431 \tabularnewline
434 & 437 & 439 & 446 & 447 & 448 & 453 \tabularnewline
454 & 463 & 465
\end{tabular}[/tex]
1. Calc the sample mean and sample standard deviation. [tex]\sum_{i=1}^{17} x_i=7451[/tex] and [t... | 5 | [
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proving linear transformation in R^3
December 9th 2008, 12:21 PM
pandakrap
proving linear transformation in R^3
suppose T: R^3 -> R^3 is given by T(x1,x2,x3) = (x1,-x2,0).
prove that T is a linear transformation. find the kernel, k, of T. Also, find dim K and dim (range T)
(Nod)
December 9th 2008, 05:... | 5 | [
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Evaluate the Indefinite Integral
$\int{\frac{\sqrt{x}-x^2+4}{x}}dx$ Lost on what to do. Thanks for the help!
thanks! ill try it from here and post what i get.
$\int{\frac{\sqrt{x}-x^2+4}{x}}dx$ $\int (\frac{1}{\sqrt{x}} - x + \frac{4}{x}) dx$ $\int (-x^{1/2}-x+\frac{4}{x}) dx$ Would that be the correct step, i'm lost... | 5 | [
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[SOLVED] Proving Identities
March 18th 2008, 01:26 PM #1
Newbie
Joined
Mar 2008
Posts
20
[SOLVED] Proving Identities
Hi,
I am realllly bad at proving identities... so I would appreciate any advice you have, when proving these three identities:
(4/4a+4) + (7/7a-7) = (2a^2 + 2a/a^2 + 2a + 1) * (a+... | 4 | [
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Point of intersection of two curves
August 7th 2011, 03:30 AM #1
Member
Joined
Jul 2011
Posts
80
Point of intersection of two curves
Hi
I am struggling with this method-my book does not explain it very well.
Can anybody recommend a method to follow? or maybe an example on line?
thanks
Joh... | 4 | [
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Existence of binary operation such that two algebraic structures are isomorphic.
July 13th 2011, 07:41 PM #1
Newbie
Joined
Jul 2011
Posts
5
Existence of binary operation such that two algebraic structures are isomorphic.
Here is a very tricky question that I am trying to solve since last three days but u... | 5 | [
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Fw: 3 projects in color and math
Note: To protect the privacy of our members, e-mail addresses have been removed from the archived messages. As a result, some links may be broken.
Fw: 3 projects in color and... | 5 | [
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Do Weighted Average Problems Faster
August 11, 2006
Today let's take a look at a very specific type of problem, one you can expect to see at least once on the GMAT, probably in the form of a Problem Solving question. Weighted averages are not
particularly tricky, but they can be very time-consuming, and when you only... | 4 | [
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integrating sinx(1+cosx)
May 2nd 2010, 01:41 PM #1
Newbie
Joined
Sep 2008
Posts
12
hey .
I need some help in integrating sinx(1+cosx) I've tried doing integration by parts but got in a big mess.
Help would be greatly appreciated
thankyou
ellie
Have you got some working to show?
... | 5 | [
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Divisibility of (n^5 - n) by 30
April 11th 2011, 10:19 PM #1
Member
Joined
Apr 2008
Posts
204
Divisibility of (n^5 - n) by 30
hey guys am having major problems with this question:
show that $n^5 - n$ is always divisible by 30
i tried mathematical induction, which would have worked if it needed to... | 4 | [
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Fundamentals of Transportation/Queueing/Solution3
Problem:
In this problem we apply the properties of capacitated queues to an expressway ramp. Note the following:
• Ramp will hold 15 vehicles
• Vehicles can enter expressway at 1 vehicle every 6 seconds
• Vehicles arrive at ramp at 1 vehicle every 8 seconds
De... | 5 | [
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Evaluating limits.
October 5th 2009, 04:10 PM #1
Member
Joined
Sep 2009
Posts
149
Evaluating limits.
Evaluate the limit, if it exists. (If it does not exist, enter NONE).
I know according to rule 5 of the law of limits, this cant work by substition because the denominator would equal 0. I know i ... | 4 | [
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Parametrizing problem
April 5th 2011, 11:28 AM
Mauritzvdworm
Parametrizing problem
I am wondering if it is possible to parametrize the space of all unitary 3 by 3 matrices with complex entries.
$U=\left(\begin{array}{ccc}a&b&c\\d&e&f\\g&h&j\end{ array}\right)$ with U being any unitary 3 by 3 matrix.
We... | 4 | [
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Sum of three squares of rationals (proof)
April 11th 2009, 02:34 AM #1
Newbie
Joined
Apr 2009
From
Poland
Posts
11
Sum of three squares of rationals (proof)
Hi, I'd be grateful if someone could help me prove that 'if a positive rational is the sum of three squares of rational numbers, then its recipr... | 5 | [
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Patent US4758943 - Method and an apparatus for automatically tuning a process regulator
FIELD OF THE INVENTION
The present invention relates to a method for adjusting the setting of a digital process regulator with the aid of the result obtained from a simple relay feedback experiment.
BACKGROUND OF THE INVENTION
A ... | 4 | [
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Probability Distrubution- Binomal or geometric?
May 5th 2010, 03:28 PM #1
Newbie
Joined
Mar 2010
Posts
8
Probability Distrubution- Binomal or geometric?
Hi guys....
i dunt realli understand how to do this question:
what is the probability that a triple for a dice..will occur within the first 5 ... | 4 | [
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Prime Numbers
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
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□ GMAT Essay Tips & Grading from 800score
•
• Free GMAT Prep
□ Free GMAT CAT test
... | 4 | [
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Advanced functions graph
April 23rd 2007, 01:53 PM
bobchiba
Advanced functions graph
Hi again, This could be covered in my exams and my text books don't cover it. Theres about 10 examples, if anyone could go thru this one I rekon I'll be good to do the rest.
April 23rd 2007, 06:49 PM
Jhevon
Quote:
... | 5 | [
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sum of two uniform rand var
November 28th 2009, 11:37 AM #1
sum of two uniform rand var
If $X_1, X_2, X_3$ are independent random variables that are uniformly distributed over $(0,1),$ compute the probability that the largest of the three is greater than the sum of the other two.
Does this make sense?
The p... | 5 | [
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Find the equation of a higher-degree polynomial from graph
July 21st 2012, 01:43 PM
boyle96
Find the equation of a higher-degree polynomial from graph
hey everybody, this is my first post on the forum. I'm on my trig+ summer assignment and I only need help on one problem. The gist of it is that there's a graph, ... | 5 | [
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An Analytic Solution for the Boundary Layer Equations
Introduction
The boundary layer equations are a pair of nonlinear partial differential equations of second order, as follows:
They are used in fluid dynamics engineering as a model of a fluid or gas flowing past a stationary boundary. Generally speaking, the fluid... | 4 | [
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Cylinder rate of change problem.
March 5th 2011, 09:00 AM
StaryNight
Cylinder rate of change problem.
I'm trying to solve the following problem:
Consider a cylinder of radius 5 whose axis is along the z axis.
i) what is the rate of change of f(x,y,z) in the direction normal to the cylinder at the point ... | 4 | [
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Diffusion Equation
I actually happen to have Lamarsh right next to me. For the clarity of everyone else, what the asker is referring to is Section 5.5, entitled "boundary conditions," and it is a general discussion on
boundary conditions to the one-speed diffusion equation.
Some more of the excerpt:
"Since the diffus... | 4 | [
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... | 15,526 | 15526 | |
Patent US6836449 - Acoustic method and device for distance measurement
This application claims the benefit of and incorporates by reference essential subject matter disclosed in U.S. Provisional Patent Application No. 60/408,803 filed on Sep. 6, 2002.
FIELD OF THE INVENTION
The invention relates to an acoustical meth... | 4 | [
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If 5a=9b=15c, what is the value of a+b+c? 1. 3c-a=5c-3b 2.
Author Message
TAGS:
If 5a=9b=15c, what is the value of a+b+c? 1. 3c-a=5c-3b 2. [#permalink] 08 Oct 2006, 07:09
... | 4 | [
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[SOLVED] Differentiate √(x² + 1) with respect to x.
April 25th 2008, 02:52 AM #1
[SOLVED] Differentiate √(x² + 1) with respect to x.
Question:
Differentiate $\sqrt{(x^2 + 1)}$ with respect to $x$.
Attempt:
$\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}$
$u = \sqrt{(x^2 + 1)} = (x^2 + 1)^{\... | 5 | [
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0.125,
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0.0169677734375,
-0.0272216796... | 15,529 | 15529 | |
Moment Generating Function (proof of definition)
1. The problem statement, all variables and given/known data
Prove that for a random variable [tex]X[/tex] with continuous probability distribution function [tex]f_X(x)[/tex] that the Moment Generating Function, defined as
[tex]
M_X(t) := E[e^{tX}]
[/tex]
is
[tex]
M_X... | 5 | [
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0.048828125,
... | 15,530 | 15530 | |
Integration partial fractions
You've only stated the question? Partial fractions is a good method here but first some algebra: $\int \dfrac{10}{(2x-6)(x+5)} = \int \dfrac{10}{2(x-3)(x+5)} = 5 \int \dfrac{1}{(x-3)(x+5)}$ $\dfrac
{1}{(x-3)(x+5)} = \dfrac{A}{x-3} + \dfrac{B}{x+5} \Leftrightarrow 1 = A(x+5) + B(x-3)$ Can y... | 5 | [
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0.0203857421875,
0.0222167968... | 15,531 | 15531 | |
Help please! thnk u
December 10th 2007, 08:41 AM #1
Member
Joined
Dec 2007
Posts
80
Help please! thnk u
I have being doing an old maths test paper to practise and i have done most of it but i am struggling with these last few Q's and i just cnt figure then out! its stressing me out! lol Any help
will... | 4 | [
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quarters and dimes
December 22nd 2006, 08:29 PM
shenton
quarters and dimes
This is hard to visualize because quarters is 25 cents and dimes is 10 cents. I can't figure this out. Please help.
A student has $6.80 in dimes and quarters. The number of dimes is two more than half the number of quarters. How many... | 4 | [
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Route Choice Model Considering Generalized Travel Cost Based on Game Theory
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 464038, 5 pages
http://dx.doi.org/10.1155/2013/464038
Research Article
Route Choice Model Considering Generalized Travel Cost Based on Game Theory
^1School of Automobile Eng... | 4 | [
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Patent US5745397 - Addition overflow detection circuit
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to an addition overflow detection circuit which detects an overflow when a result of addition of unsigned or signed numbers cannot be represented correctly, and more
particularly to an a... | 4 | [
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A few electricity problems
1. The problem statement, all variables and given/known data
1. Two 1.0 g spheres are charged equally and placed 2.0 cm apart. When released, they begin to accelerate at 225m/s^2.
What is the magnitude on each sphere.
2. You have a lightweight spring whose unstretched length is 4.0 cm. You... | 4 | [
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Adaptive control system for vehicles - Patent # 5094127 - PatentGenius
Adaptive control system for vehicles
5094127 Adaptive control system for vehicles
Patent
Drawings:
... | 4 | [
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Scaled Diagonal Gradient-Type Method with Extra Update for Large-Scale Unconstrained Optimization
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 532041, 5 pages
http://dx.doi.org/10.1155/2013/532041
Research Article
Scaled Diagonal Gradient-Type Method with Extra Update for Large-Scale Unconstrained Opt... | 4 | [
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Quicksort
2.3 Quicksort
Quicksort is popular because it is not difficult to implement, works well for a variety of different kinds of input data, and is substantially faster than any other sorting method in typical
applications. It is in-place (uses only a small auxiliary stack), requires time proportional to N log ... | 4 | [
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Change of Basis wrt Linear Transformation
May 11th 2008, 04:53 PM #1
Junior Member
Joined
May 2008
Posts
37
Change of Basis wrt Linear Transformation
Hi, I have one part of a two-part question related to a linear transformation.
------------
(a) Let a linear transformation T: R2 --> R3 be given... | 5 | [
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0.0... | 15,540 | 15540 | |
I have to solve this equation or term in order to calculate the area
February 12th 2011, 03:53 PM
Riazy
I have to solve this equation or term in order to calculate the area
Hi, my teacher did the following step, and I cant understand it really:
We have A = b $(With limits from 0 to a) Sqroot [1-x^2 / a^2 ] ... | 5 | [
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-0.... | 15,541 | 15541 | |
Mechanics 1, string and tension Problem, Home work due
October 13th 2012, 10:57 AM
mysur
Mechanics 1, string and tension Problem, Home work due
Hi, This is silver doing 12th year, I have clearly anyidea regarding inextensible string, could you please explain and help me in this problem. Thank you well in Advance... | 4 | [
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Cauchy Criterion.
Prove that the following infinite sum is converges using Cauchy Criterion. $\Sigma^{\infty}_{n=1} \frac{cos{nx}-cos{(n+1)x}}{n}$ $x-Constant$ (Headbang)
Just to clarify, you're trying to show that $\displaystyle{\sum_{n=1}^{\infty} \frac{\cos(nx)-\cos((n+1)x)}{n}}}$ converges, correct? And you're req... | 5 | [
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... | 15,543 | 15543 | |
planet motion
April 19th 2008, 12:27 PM
Chez_
planet motion
I have this q, its long to explain but iv dont the first parts just need help with the last 2 q's
The planet saturn has many moons.The table below gives the mean radius of orbit and the time taken to coplete one orbit for five of the best known of ... | 4 | [
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... | 15,544 | 15544 | |
solving inhomogenous linear difference equations
March 15th 2011, 11:52 AM #1
Newbie
Joined
Mar 2011
Posts
1
Solve the following inhomogeneous linear difference equation: Yk+3 + 5Yk+2 - 2Yk+1 - 6Yk = 32k + 6. Use Yk=Ak+b to solve for A and B.
So far I have followed my notes and have got
A(k+3)+B+... | 4 | [
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(3^m)(5^n)(11^k) is not a perfect number
April 5th 2012, 09:44 AM
Wachoorou
(3^m)(5^n)(11^k) is not a perfect number
Show that a number of the form (p^m)(q^n), where p and q are Distinct Odd Primes,can never be a perfect number. Also show that a number of the form (3^m)(5^n)(11^k) can never be a perfect number.
... | 5 | [
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Business Homework Problem Help
April 27th 2009, 08:42 PM #1
Newbie
Joined
Apr 2009
Posts
1
Hey all, new here. This math problem is killing me, and I have to turn it in tomorrow, but I can't figure out the right answer:
The marketing manager of a department store has determined that revenue, in dollar... | 4 | [
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Which is correct ?
November 6th 2005, 09:08 AM
kippy
Which is correct ?
Hi.
(Let, Int=integral and Sqrt=square root and In=natural log)
In a math book I found that
Int( Sqrt(Z^2-A^2) )
= (A^2)/2 * ( (Z*Sqrt(Z^2-A^2))/(A^2) - In((Z+sqrt(z^2-A^2))/A) )
= (Z*Sqrt(Z^2-A^2))/2 - ( (A^2)/2 * In(... | 5 | [
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reduces the first NB rows and columns of a complex general m by n matrix A to upper or lower real bidiagonal form by a unitary transformation Qaq * A * P, and returns the matrices X and Y which are needed to apply the transformation to the unreduced part of A
zlabrd (l) - Linux Man Page
zlabrd: reduces the first NB ... | 4 | [
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0.... | 15,549 | 15549 | |
Home
Order statistics [Notation]
Posted on February 16, 2008 @ 01:36:53 PM by Paul Meagher
Order statistics are statistics derived from data ord... | 5 | [
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Dynamics of Almost Periodic BAM Neural Networks with Neutral Delays
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 682592, 9 pages
http://dx.doi.org/10.1155/2014/682592
Research Article
Dynamics of Almost Periodic BAM Neural Networks with Neutral Delays
Department of Mathematics, Kunming University, Ku... | 5 | [
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Homomorphisms
April 12th 2012, 02:43 PM
Aryth
Homomorphisms
Let $G_1$ and $G_2$ be groups with identities $e_1$ and $e_2$, respectively. Let $f: G_1 \to G_2$ be a homomorphism of groups. Let $K$ be the kernel of $f$. Let $x \in K$. Which of the following
is/are necessarily true?
a) $x = e_1$
b) $x =... | 5 | [
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0.069335... | 15,552 | 15552 | |
Group Theory Question involving nonabelian simple groups and cyclic groups
paddyoneil
1. The problem statement, all variables and given/known data
Let A be a normal subgroup of a group G, with A cyclic and G/A nonabelian simple. Prove that Z(G)= A
2. Relevant equations
Z(G) = A <=> C[G](G) = A = {a in G: ag = ga ... | 4 | [
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... | 15,553 | 15553 | |
Imaginary roots factoring help
July 29th 2009, 01:46 PM #1
$r^{2}-6r+6=0$
This might result in an $i$ root. I am not sure just stuck.
This is the determinant of my matrix and I need to find the eigenvalues. No square roots or fractions allowed. Must be a whole number or something like $2i$
Last edite... | 5 | [
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0.10791015625,
0.0546875,
-0.052490234375,
-0.038818359375,
-0.03295898... | 15,554 | 15554 | |
derivative - using quotient rule
March 18th 2010, 01:45 AM #1
Junior Member
Joined
Mar 2010
Posts
35
derivative - using quotient rule
how do I get the derivative of:
-4x
---------
(x^2-1)^2
the answer is
12x^2+4
--------------
(x^2-1)^3
using the quotient rule, it seem... | 5 | [
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-0.05224609375,
-0.03125,
-0.003082275390625,
0.0299072265625,
0.0152587890625,
-0.0159912109375,
0.1064453125,
0.0498046875,
0.034912109375,
0.01165771484375,
-0.06396484375,
0.051513671875,
-0.054443359375,
0.0795898... | 15,555 | 15555 | |
Cummulative distribution function
March 18th 2010, 01:39 AM
gralla55
Cummulative distribution function
Let X be an exponentially distributed stocastic variable with probability density:
f(x;b) = (1/b)e^(-1/b), for x larger than or equal to 0, else 0)
How can I find the cummulative distribution function... | 5 | [
-0.053466796875,
-0.0145263671875,
-0.013671875,
-0.0634765625,
-0.050048828125,
-0.01214599609375,
-0.0011749267578125,
0.00799560546875,
0.01165771484375,
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0.0712890625,
-0.06982421875,
0.0478515625,
0.02685546875,
0.033447265625,
0.021484375,
0.046630859375,
-0... | 15,556 | 15556 | |
(Intersection)-Cohomology of Orbit Spaces of $SO(n)$ acting on spheres.
up vote 2 down vote favorite
This is a problem i am thinking for a while but did not find an answer. Maybe one of you knows it.
Let $G:= SO(n,\mathbb{R})$, $G\times \mathbb{R}^n\to \mathbb{R}^n$ the standard representation of $G$, and $G\times \m... | 4 | [
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0.0480957031... | 15,557 | 15557 | |
Number of streets
April 24th 2006, 04:13 AM
OReilly
Number of streets
In one residantial area every street crosses over every other street and there are no three streets which crosses each other in same point.
How many streets there are in that residential area if there are 21 crosses?
April 24th 2006, 05:... | 5 | [
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... | 15,558 | 15558 | |
Acceleration as a function of velocity - HW problem help
jayvastani
How can you just cancel "v" on both sides in second step , where it can take a value zero...
Easy, you just say that the step was valid for all non-zero values of v.
[tex]a=v\frac{dv}{dx}=-kv^2[/tex] (In this case, k=0.05)
From this step to the n... | 4 | [
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0.02270... | 15,559 | 15559 | |
another implicit differentiation question
Here's another: If $ax^2 + by^2 = c$ show that the second derivative is equal to $-ac/b^2y^3$ Thanks
Because the second derivative will have an "x" in it and eliminating that reintroduces the "c". Since $ax^2+ by^2= c$, $2ax+ 2byy'= 0$. Differentiating again, $2a+ 2by'^2+ 2byy... | 5 | [
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... | 15,560 | 15560 | |
How do you show that a monotone increasing real function on a closed interval [a, b]
March 12th 2008, 07:54 PM
Kelles
How do you show that a monotone increasing real function on a closed interval [a, b]
Hello Everyone,
I have two questions on measure theory:
1)
How do you show that a monotone increa... | 5 | [
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0.0654296875,
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-0... | 15,561 | 15561 | |
Symmetry restoration
In Zee's book on QFT he derives this equation for the effective potential in [tex]\phi^4[/tex] theory:
[tex]V_{eff}(\phi)=\frac{1}{4!}\lambda(M)\phi^4+\frac{\lambda(M)^2}{(16 \pi)^2}\phi^4[log\frac{\phi^2}{M^2}-\frac{25}{6}]+O(\lambda(M)^3)[/tex]
The effective potential is basically the potential... | 4 | [
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-0.1... | 15,562 | 15562 | |
How to solve this identity?
November 21st 2010, 08:53 AM #1
Newbie
Joined
Nov 2010
Posts
5
How to solve this identity?
tan(pi/4 + x) + tan(pi/4 - x) = 2sec2x
I know that I must use compound angle formula for tan, but I'm still having heaps of trouble. Can someone show me the steps to solve this plea... | 5 | [
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0.033203125,
0.048095703125,
0.04... | 15,563 | 15563 | |
Please help with an ln problem
January 25th 2010, 03:02 PM #1
Junior Member
Joined
Nov 2009
Posts
39
Please help with an ln problem
Can anyone help with this problem?
ln(r^3s^7([7th root](r^7s^10)))
is equal to A ln r +B ln s
where A=______ and B=________
This is what I have so far:
... | 4 | [
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0.07910156... | 15,564 | 15564 | |
Continuity Tests
September 20th 2009, 07:49 PM #1
Continuity Tests
At which points are is the function continuous?
y = (3x - 1)^(1/4)
The function is continuous at the interval [1/3, infinity). Discontinuous at (-infinity,1/3] because a negative answer is obtained.
So to apply the continuity tests, ... | 4 | [
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-0.131835... | 15,565 | 15565 | |
Finding value of c in a quadratic
April 7th 2009, 06:14 AM #1
Member
Joined
Aug 2008
Posts
179
The remainder when -4x^2 + 2x + 7 is divided by (x - c) is -5. Find a possible whole number value of c.
This is what I tried to do:
P(c)= -4c^2 + 2c + 7
-4c^2 + 2c + 7 = -5
-4c^2 + 2c = -12
... | 4 | [
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0.0047607421875,
-0.0339355468... | 15,566 | 15566 | |
Math problems
August 10th 2007, 11:53 PM #1
Junior Member
Joined
Feb 2007
Posts
59
Math problems
I have these problems
1. Use inductive reasoning to determine the next three numbers in the pattern: 2, 9, 20, 35, ….
2. Find a counterexample to the statement “The square of a number added to the ... | 4 | [
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-0.003509521484... | 15,567 | 15567 | |
a
Physics 224 Fall 00
Final Exam Dec 12
Name_________________________
Good luck! Please show all work since this will be graded with partial credit.
┌────────┬──────┬─────┬─────┬───┬─────┬──────┬┐
│Problem │Points│Score│Prob... | 4 | [
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0.041259765625,
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0.0186767578125,
-0.020751953125,
0.031127... | 15,568 | 15568 | |
Math Help
September 24th 2005, 09:30 AM #1
Newbie
Joined
Sep 2005
Posts
4
hard task
I don't know how to solve this task:
Participants of math competition are solving six tasks. For each task
you can get one of marks - 6,5, 3 or 0 .
It transpired that for each pair of participants we can ind... | 5 | [
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0.0152587890625,
0.04931640625,
-0.0107421875,
-0.0002... | 15,569 | 15569 | |
Simple Plane and Point problem.
September 11th 2012, 07:38 AM
aqualiary
Simple Plane and Point problem.
According to the "Flat Earth Club", Earth is a plane described by the equation
x + y + z = 18:
Also according to the Flat Earth Club, Earth will be destroyed on the day this assignment
is due by an... | 5 | [
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-0.12353515... | 15,570 | 15570 | |
Series with Factorial
dekoi
How come the lower limit was replaced by 0 from 1?
Thanks.
Hmmm, look at the equality again:
[tex]\sum_{n = 1} ^ {\infty} \left( \frac{\sin \left( \frac{n \pi}{2} \right)}{n!} \right) = \sum_{n = 0} ^ {\infty} \left( \frac{(-1) ^ n}{(2n + 1)!} \right)[/tex]
It's not only that n = 1 has ... | 4 | [
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0.0634765625,... | 15,571 | 15571 | |
Misc Exercises
February 19th 2008, 05:55 AM #1
Misc Exercises
1:
Prove the following:
zw* - z*w is purely imaginary or zero for all complex numbers z and w
2:
A geometric series has a second term of 6 and the sum of its first three terms is -14. Find its fourth term.
3:
Is it possibl... | 4 | [
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0.0250244140625,
-0.1318359375,
-0.0155639648... | 15,572 | 15572 | |
Find an equation of the line that satisfies the given conditions
February 17th 2009, 10:28 PM
rckstr4lfe
Find an equation of the line that satisfies the given conditions
I have three "find the equation of the line" problems I cannot complete correctly.
1.
Through points (-1, -6) and (2, -4)
2.
... | 4 | [
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0.05517578125,
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0.10791015625,
-0.08349609375,
-0.0395507... | 15,573 | 15573 | |
integration problems - urgent
June 20th 2006, 10:27 AM #1
Newbie
Joined
Jun 2006
Posts
22
Hi,
Attached document contain question rearding indefinite integrals.
Can someone help to provide solution for all three questions ASAP.
Apologise for improper way of defining the question as i don't h... | 5 | [
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0.031738281... | 15,574 | 15574 | |
Hyperbola Problem
September 12th 2008, 01:50 PM
jeta
Hyperbola Problem
I'm having trouble with this problem. Any help would be appreciated.
The normal at any point on the hyperbola x^2/a^2 - y^2/b^2 = 1 intersects the x and y axes at P and Q respectively. Find the locus of the midpoint of PQ.
Thanks
S... | 5 | [
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0.05078125,
0.007568359375,
0.1455078125,
-0.01031494140625,
-0.10... | 15,575 | 15575 | |
Linear transformation between function spaces
August 26th 2009, 05:54 AM #1
Newbie
Joined
Aug 2009
Posts
2
Linear transformation between function spaces
Hi all.
I am a beginner to real maths and am looking at a problem from a book by Loomis and Sternberg.
Let $T$ be the linear transformation fr... | 5 | [
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0.0341796875,
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-0.0810546875,
0.02978515625,... | 15,576 | 15576 | |
Mathematical induction proof, help?
February 23rd 2010, 03:26 PM
forumlurker
Mathematical induction proof, help?
S(n): 2+7+12+...+(5n+2) = 1/2(n+1)(5n+4)
S(1): LHS (5(1)+2) = 9
RHS 1/2(1+1)(5(1)+4) = 9 RHS = LHS
Assume True: S(k) = 2+7+12+...+(5k+2) = 1/2(k+1)(5k+4)
Want to Show True: S(k+1) ... | 4 | [
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-0.0032806396484375,
0.035400390625,
0.06... | 15,577 | 15577 | |
Power Series
January 11th 2010, 03:00 AM #1
Newbie
Joined
Dec 2009
Posts
5
Power Series
I'm stuck on this dam question:
I mean the first parts are pretty simple but I don't see how it translates to the series, any help from you old chaps would be greatly appreciated.
Okay, what did you get fo... | 5 | [
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0.01556396484375,
-0.07373046875,
-0.01525... | 15,578 | 15578 | |
Area of a polygon
March 22nd 2007, 01:26 PM #1
Newbie
Joined
Feb 2007
Posts
9
Area of a polygon
Hello, I was wondering if anyone can help me with this problem.
A) Let A_n be the area of a polygon with n equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangle... | 5 | [
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-0.0225830078125,
0.041015625,
-0.0483... | 15,579 | 15579 | |
Simultaneous Inequalities
May 13th 2011, 06:37 AM #1
Member
Joined
Mar 2011
Posts
92
Simultaneous Inequalities
Hi Guys,
This one is long problem. I figured out most of it, but need a hint with the last proof part.
Draw a diagram illustrating the region S of the xy-plane which is defined by the ... | 4 | [
0.004058837890625,
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0.059814453125,
0.0150146484375,
0.0284423828125,
-0.01544189453125,
-0.... | 15,580 | 15580 | |
Acceleration problem
August 4th 2009, 01:55 PM
radioheadfan
Acceleration problem
The position equation for the movement of a particle is given by $s(t) = \sqrt{t^3 +1}$ where s is measured in feet and t is measured in seconds. Find the acceleration when t = 2 seconds.
I know that I have to get y'', I got ${... | 5 | [
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0.01171875,
0.01953125,
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0.04052734375,
-0.056396484375,
-0.01336669921875,
-0.06396484375,
0.01733398437... | 15,581 | 15581 | |
Using deritative to calc irc
January 21st 2008, 03:14 PM #1
Using deritative to calc irc
Use the deritative to calculate the instanteous rate of change of the given input value. (You can eliminate the h algebraically.
13. s(t)=16r^2+64 where t=2
I haven't a clue where to start...limits are foreign to me... | 4 | [
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-0.006683349609375,
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0.033447265625,
0.01623535156... | 15,582 | 15582 | |
Positive divisors
January 25th 2010, 06:18 AM
davidman
Positive divisors
There are $x$ number of positive divisors of $72$, $y$ number of positive divisors of $900$.
The positive divisors of $900$ that are not divisors of $72$ are $z$.
Hoping there's a formula and you're not actually supposed to go ove... | 4 | [
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-0.0119... | 15,583 | 15583 | |
angular rate of change
January 19th 2010, 03:43 PM #1
Senior Member
Joined
Aug 2009
Posts
349
angular rate of change
in a free fall experiment, an object is dropped from a height of 256 ft. a camera on the ground 500 ft from the point of impact records the fall of the object. find the rates of change of ... | 5 | [
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0.032226... | 15,584 | 15584 | |
Find the hydrostatic force on one end of the tank if it is filled to a depth of 8 ft.
1. The problem statement, all variables and given/known data
A large tank is designed with ends in the shape of the region between the curves y =(1/2)x^2 and y = 12, measured in feet. Find the hydrostatic force on one end of the tank ... | 5 | [
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-0.052246... | 15,585 | 15585 | |
Evaluating trig function
March 20th 2009, 03:28 PM #1
Junior Member
Joined
Jan 2009
Posts
66
Evaluating trig function
My original integral has the following limits $\int_2^4$ and l use the following substitution $x=2sec\theta$. My question is how do l change the limits of the integral ?
Attempt to s... | 4 | [
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-0.00866699218... | 15,586 | 15586 | |
Velocity/Acceleration Problem Help
November 15th 2009, 11:52 AM #1
Newbie
Joined
Aug 2009
Posts
8
Velocity/Acceleration Problem Help
"A particle moves along the x-axis so that its velocity at time T is given by:
v(T)= -(T+1)sin(T^2/2)
At T=0 the particle is at position x=1.
a) Find the acc... | 5 | [
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0... | 15,587 | 15587 | |
Patent US5935198 - Multiplier with selectable booth encoders for performing 3D graphics interpolations with two multiplies in a single pass through the multiplier
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to binary multipliers for computer systems, and more particularly to multiplie... | 4 | [
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-0.... | 15,588 | 15588 | |
Angle between two points on a circle
November 5th 2009, 08:47 AM #1
Newbie
Joined
Nov 2009
Posts
4
[SOLVED] Angle between two points on a circle
I'd like to calculate the angle between two points on a circle, in which the radius of the circle is known, as are the coordinates of the two points and the cen... | 4 | [
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0... | 15,589 | 15589 | |
Exact inversion of matrix complexity (by Gaussian elimination)
October 29th 2013, 06:34 AM
abscissa
Exact inversion of matrix complexity (by Gaussian elimination)
I would like to check if what I have done is correct. Please, any input is appreciated.
**Problem statement:** Consider a non-singular matrix $A... | 4 | [
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-0.07714... | 15,590 | 15590 | |
Math Help
April 17th 2009, 10:07 PM #1
Junior Member
Joined
Feb 2009
Posts
40
need help
consider a function $f: Real \rightarrow Real$. Prove that f is continuous on R iff for every subset B of Real
$f^{-1}(int B) \subseteq f^{-1} (B)$
Hi
This is always true.
I think you meant: $f^{-1... | 5 | [
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-0.05... | 15,591 | 15591 | |
Urns and balls.
May 6th 2010, 04:50 AM #1
Junior Member
Joined
Aug 2009
Posts
27
Urns and balls.
- - - - - - - - - - - - - - - - - - - - -
An urn U1 contains 5 black balls and 4 white balls.
An urn U2 contains 4 black balls and 5 white balls
Part A.
We draw simultaneously 3 balls from U1... | 5 | [
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... | 15,592 | 15592 | |
vectors, normal to the plane
May 14th 2007, 12:27 AM #1
Newbie
Joined
Jan 2007
Posts
18
vectors, normal to the plane
Find the normal vector to the plane which is
a) parallel to 4i-2j+2k and i+3j+3k
b) passes through the points O(0,0,0), P(1,-1,2) and Q(3,2,-1)
These are two seperate questio... | 4 | [
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Help with volume of cross-sections please!
January 15th 2009, 08:32 PM
Kaitosan
Help with volume of cross-sections please!
Straight from my book:
"The base of a solid is the region in the xy-plane bounded by Y = Sinx, the X-axis, X = 0, and X = pi/2. What is the volume of the object if every vertical slice ... | 5 | [
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-0.... | 15,594 | 15594 | |
Geometry help.
March 9th 2009, 07:11 AM #1
Newbie
Joined
Feb 2009
From
New York
Posts
14
Geometry help.
Extend the bisectors of angles A, B, and C of triangle ABC to meet the circumcircle at points X, Y, and Z. Show that I is the orthocenter of triangle ABC.
I think I is the orthocenter of XYZ. ... | 4 | [
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0.01... | 15,595 | 15595 | |
Find the angular speed
August 29th 2008, 02:10 AM #1
Newbie
Joined
Aug 2008
Posts
9
Find the angular speed
A car is traveling at 40 mph and has tires that are 94 meters in diameter. Find the angular speed of the wheel in revolution per minute.
Hello, jcrodua!
I'm sure there's typo . . . please ... | 4 | [
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-0.11... | 15,596 | 15596 | |
Spaceships at right angles
daniel_i_l
Thanks for the reply. I have a few questions.
I don't understand why you need gamma before doing any transformations.
You don't really for the problem but doing so gives you the correct gamma factor for the transformed velocity (as reciprocal of the time component.)
How can ... | 5 | [
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Gamma Function
From the property ... $\displaystyle \Gamma(1+x) = x\ \Gamma(x)$ (1) ... You derive that... $\displaystyle \Gamma(2+x) = x\ (1+x)\ \Gamma(x)$ $\displaystyle \Gamma(3+x) = x\ (1+x)\ (2+x)\ \Gamma(x)$
... $\displaystyle \Gamma(n+x) = x\ (1+x)\ ... \ (n-1+x)\ \Gamma(x)$ (2) Now if You set in (2) $x=\frac{1}... | 5 | [
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0.0234375,
... | 15,598 | 15598 | |
Induction for sequences
OK, I am completely stupid when it comes to induction. Any help? I shouldn't have taken this class.
Use Mathematicla induction for part 1. let $S_n$be a statement that $a_n$ is odd Assume $S_{k-2}$ and $S_{k-1}$ are true and then prove $S_k$is true. $a_k = 2a_{k-2} +3a_{k-1}$ Now $2a_{k-2}$ is ... | 4 | [
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0.0405273437... | 15,599 | 15599 |