content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
solve for variable when vector a and b have a 45 degree angle between them
January 11th 2011, 07:57 AM #1
Member
Joined
Jan 2011
Posts
75
solve for variable when vector a and b have a 45 degree angle between them
vector a = (2,5) and vector b = (-1,t)
solve for t when the vectors have a 45 degree an... | 4 | [
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0.0517578125,
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0.103515625,
-0.05810546875,
-0.020... | 26,900 | 26900 | |
Math Help
How to calculate the inverse matrix by means of elementary matrices? I know that the method of gauss-jordan is easier
They are essentially the same method! If you can figure out the elementary matrices necessary to reduce matrix A to the identity matrix, then multiplying the identity matrix those elementary... | 5 | [
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0.0... | 26,901 | 26901 | |
Problem of hats
December 19th 2010, 08:56 PM #1
Newbie
Joined
Dec 2010
Posts
7
Problem of hats
There are N people. All with their own, unique hat. Each throw his hat into a pile, and mix it. The number of ways for n < N to get their hats is ( N-n)!. Why?
To understand these problems I take N to be a... | 4 | [
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Need explanation of differential equations
August 26th 2008, 03:34 PM #1
Newbie
Joined
Aug 2008
Posts
2
Need explanation of differential equations
Hello, I am a student at the University of Pittsburgh. I am majoring in electrical engineering. I have already successfully completed Calculus 1 and 2. Now I ... | 5 | [
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On the Joint Time Synchronization and Source Localization Using TOA Measurements
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 794805, 11 pages
http://dx.doi.org/10.1155/2013/794805
Research Article
On the Joint Time Synchronization and Source Localization Using TOA Measurements
... | 4 | [
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mean of continuous random variable
November 14th 2009, 02:47 AM
cribby
mean of continuous random variable
This is really a calculus question, but is part of a probability problem. Apologies if I've posted in the wrong place.
I'm given a cumulative distribution function $F(x)=1-(x+1)^{-2}, x>0$ and 0 elsewhe... | 5 | [
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... | 26,905 | 26905 | |
Related Rate of Change of an Angle
March 20th 2009, 11:45 AM #1
Newbie
Joined
Mar 2009
Posts
3
Related Rate of Change of an Angle
Hello
Out of pure maths interest, I was trying to solve the following problem:
We have: point O, anywhere on the plan; line AB, anywhere on the plan; point M, moving... | 5 | [
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Divisibility by 7 question
December 7th 2008, 07:39 PM #1
Junior Member
Joined
Oct 2008
Posts
51
Divisibility by 7 question
Hi there! I'm having some big trouble with this:
Let there be $x, y \in \mathcal{Z}$. Show that $10x + y$ is a multiple of $7$ if, and only if $x - 2y$ is a multiple of 7. Usin... | 5 | [
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Use Charpits to solve this PDE
February 7th 2011, 02:40 PM
bugatti79
Use Charpits to solve this PDE
Use Charpits Equations to Solve the following given that u=1 on the line x+2y=2.
Is the solution unique?
$<br /> 4u \frac{\partial {u}}{\partial x}=(\frac{\partial {u}}{\partial y})^2$
$<br /> 4up-q^... | 5 | [
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Matrix and Linear Mapping
November 27th 2008, 08:03 AM #1
Matrix and Linear Mapping
$h: {\mathbb{R} }^3 \rightarrow {\mathbb{R} }^2$ is given by $h(x,y,z) =(7x, y-z)$ is a linear mapping.
For this function, write down its matrix with respect to the standard bases of the domain and codomain.
I took this ... | 4 | [
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Transformations of quadratic equations
Can you please explain the transformations involved when transforming y = x^2 to y = 4(3x -6)^2 + 1
Hello, elmidge! $\text{Can you please explain the transformations involved}$ $\text{when transforming }\,y \:=\: x^2\,\text{ to }\,y\:=\:4(3x -6)^2 + 1$ $\text{We are going from }\... | 4 | [
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Sums and Inequalities
March 26th 2011, 09:51 AM #1
Junior Member
Joined
Feb 2009
From
London
Posts
39
Thanks
1
Sums and Inequalities
Using the fact that for all integers $n\geqslant1$ and real numbers $t>1$
$(n+1)t^n(t-1)>t^{n+1}-1>(n+1)(t-1),$
prove that for all positive integers m and... | 5 | [
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Patent US8130876 - Method for receiving a multi-carrier signal, transmission method, corresponding receiver and transmitter
1. SCOPE OF THE INVENTION
The present invention relates to the radio communications domain and more particularly the transmission and reception of a multi-carrier signal.
2. TECHNOLOGICAL BACKGR... | 4 | [
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A vector equation thingy
May 19th 2010, 10:04 PM #1
Member
Joined
May 2008
Posts
77
A vector equation thingy
Calculate $\int_{C}f(X).dX$ where $f(x,y)=(x^2+xy,y-x^2y)$ and C is parametrized by $x=t, y= \frac{1}{t} \; (1\leq t \leq 3)$
I'm not really sure how to go about this. This is what I've attem... | 5 | [
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Two lin alg question
June 12th 2009, 06:49 PM #1
Two lin alg question
1. Use gauss-jordan elimination to solve the following systems
x - 2y + z = -6
2x - 3y = 7
-x + 3y - 3z =11
I got a finite solution for this one which was wrong so I'm redoing it. Is it suppose to be infinite?
Ok. so I got ... | 5 | [
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Complex integration of cos^2 z, please help?
April 1st 2013, 02:58 AM
szak1592
Complex integration of cos^2 z, please help?
Integral of (cos^2 z) from ( - pi ) iota along |z|= pi to (pi) iota in the right half plane
STATE IF THE FUNCTION IS ANALYTIC OR NOT AND THEN INTEGRATE USING PARAMETRIC REPRESENTATION I... | 5 | [
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Math Help
April 10th 2010, 05:53 AM #1
Member
Joined
Nov 2009
Posts
75
siny/y ? ...
can anyone explain why...
lim (siny/y) = 1 , as y --> 0
?... surely siny/y = 0... as y--->0
because sin0/0 = 0 ??
thanks!
Because for small x, $\sin x \approx x$...
Here's a proof Khan Acade... | 4 | [
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Chebyshev and Central Limit Theorem
August 2nd 2009, 08:08 PM #1
Junior Member
Joined
Oct 2008
Posts
70
Chebyshev and Central Limit Theorem
Let S be the number of heads in 1,000,000 tosses of a fair coin. How does on use (a) Chebyshev's inequality and (b) the Central Limit Theorem to estimate the probabi... | 4 | [
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Vector Velocity
October 29th 2010, 01:36 AM #1
Newbie
Joined
Feb 2009
Posts
4
Vector Velocity
Hi
Can someone verify these answers are correct (or at least say where I went wrong)? Thanks
$v_{b}$ = velocity of bee in still air (speed = 6.7ms^-1; directon = N25 degrees E)
$v_{b}$ = 6.7cos(90-... | 4 | [
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solve using either addition or substitution
April 4th 2007, 06:50 AM #1
solve using either addition or substitution
1. 10x + 2y = 7
y = -5x + 3
2. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
... | 4 | [
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Joint Probability Density Function with Two Continuous Random Variables
April 24th 2008, 10:36 AM #1
Junior Member
Joined
Dec 2007
Posts
32
Joint Probability Density Function with Two Continuous Random Variables
Hi
Each front tire on a vehicle is supposed to be at a pressure of 26 psi. Suppose the a... | 4 | [
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How to solve f(x) equations
August 6th 2011, 07:34 AM #1
Junior Member
Joined
Jan 2009
Posts
64
Hi How do I approach the question below:
Let f(x)= 2x^2 - 5,g(x)= 3-4x, k(x) = 6x/(x^2-2)
Find the following and simplify:
a)g(-1)
b) (g+k)(1)
c)(fk)(2)
d f(g(1)
e (f(x+h) - f... | 4 | [
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Weight Elevation
January 18th 2007, 01:16 PM #1
Banned
Joined
Jan 2007
Posts
315
Weight Elevation
If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above seal level is given approximately by:
W(h) = m(4000)/(4000 + h)^2
If Ritter weighs 120 pounds a... | 5 | [
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Determining Measure of Angle Without Tables or Calculators
Date: 03/05/98 at 00:18:18
From: Guy Vooys
Subject: Unit Circles - calculating angles
I'm 38 years old, and I am embarking on another calculus course. It
seems I've forgotten everything, so I am back reviewing my old texts.
My current problem is with the uni... | 5 | [
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Riemann Sums and Integrals
August 29th 2009, 08:35 AM #1
Newbie
Joined
Aug 2009
Posts
11
Riemann Sums and Integrals
Question: Find the integral of the equation 2x+1 from 0 to 3 using Riemann Sums.
Please show me how to do this, I keep on getting 9 as the answer, but it is actually 12.
It depend... | 4 | [
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very hard inversely proportional
January 26th 2010, 06:09 AM #1
Super Member
Joined
Oct 2008
From
Bristol, England
Posts
897
very hard inversely proportional
Hi this is my question:
The grant avalible to a section of society was inversely proportional to the number of people needing the grant. Wh... | 4 | [
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Simplifying problem
August 6th 2010, 09:46 PM
Hefotos
Simplifying problem
In the equation
f(x) = -3( (2-3x^2)^-1/2 + 3x^2(2-3x^2)^-3/2)
my text book jumps to the simplification
f(x) = -6(2-3x^2)^-3/2)
Could someone please explain this simplification?
August 6th 2010, 10:20 PM
Grandad
H... | 4 | [
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mathschallenge.net
Perpendicular Construction
Problem
ABCD is a unit square, M is the midpoint of BC, and DX is perpendicular to AM.
Prove that triangle DXC is isosceles but not equilateral.
Solution
Consider the following diagram.
It is possible to produce a semi-circle, with centre at C and radius CD. As X li... | 4 | [
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... | 26,927 | 26927 | |
Logarithmic Question.
May 29th 2010, 12:08 PM #1
Junior Member
Joined
May 2010
Posts
36
Logarithmic Question.
. Mr. Logarithmic is showing his class a solution to a problem. Is Mr. Logarithmic correct? Explain and correct if he is incorrect. Express 2log25 - log2(4/5) + 1/2log216 as a simple logarithm =
... | 4 | [
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0.06201171... | 26,928 | 26928 | |
proof of closed subset
September 3rd 2010, 02:32 AM #1
Member
Joined
Jul 2010
Posts
99
proof of closed subset
Hi,can anyone please help me with this question? I cannot even start it.
Let f: $R \rightarrow R$ be a continuous function and let
$C=\{x \in R \mid f(x)=0\}$
Prove that C is a close... | 5 | [
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-0.05664062... | 26,929 | 26929 | |
Iterative Algorithm for Common Fixed Points of Infinite Family of Nonexpansive Mappings in Banach Spaces
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 787419, 13 pages
http://dx.doi.org/10.1155/2012/787419
Research Article
Iterative Algorithm for Common Fixed Points of Infinite Family of Nonexpansive ... | 5 | [
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Roots of unity.
January 6th 2010, 05:08 PM #1
Junior Member
Joined
Nov 2009
Posts
42
Roots of unity.
I'm trying to find the value of $(-64)^\frac{1}{6}$.
Expressing $-64$ in the form $r(\cos{\theta}+i\sin{\theta})$, we have:
$-64 = 64(\cos{\pi}+i\sin{\pi})$
Which gives:
$(-64)^{\frac{... | 5 | [
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... | 26,931 | 26931 | |
Factorsing by removing a common factor
January 23rd 2010, 04:24 PM #1
Newbie
Joined
Jan 2010
From
Virginia, USA
Posts
5
Factorsing by removing a common factor
I can factorize problems like this:
3x^2 + 5x
3x^2: (1) (3) (x) (x)
5x: (1) (5) (x)
Using 1 and x to drop outside and use the ... | 4 | [
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Sandwich theorem generalization
December 4th 2009, 03:05 PM
Also sprach Zarathustra
Sandwich theorem generalization
Let {a_n}, {b_n} and {c_n} be a 3 closed sequences. Prove the generalization of sandwich rule:
If a_n <= b_n <= c_n for all natural n and if liminf(a_n)=limsup(c_n)=L, then all the three sequen... | 5 | [
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... | 26,933 | 26933 | |
Math Help
January 20th 2011, 05:35 PM #1
Member
Joined
Nov 2010
Posts
94
Limits
1. Show that lim (n^n)/(n!e^n) exists without finding the limit.
n->oo
2. Show that lim (1/n){(2*4*...*(2n))/(1*3*...*(2n-1))}^2 exists without finding the limit. n->oo
I guess I have to prove this by least upp... | 5 | [
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0.006500244140625,... | 26,934 | 26934 | |
Line Source Scattering by Buried Perfectly Conducting Circular Cylinders
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 261818, 7 pages
http://dx.doi.org/10.1155/2012/261818
Research Article
Line Source Scattering by Buried Perfectly Conducting Circular Cylinders
^1Department of Inf... | 4 | [
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... | 26,935 | 26935 | |
Why an inverse-Wishart prior may not be such a good idea
March 7, 2012
By Simon Barthelme
While playing around with Bayesian methods for random effects models, it occured to me that inverse-Wishart priors can really bite you in the bum. Inverse Wishart-priors are popular priors over
covariance functions. People like... | 4 | [
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0... | 26,936 | 26936 | |
applying math to surveying
August 10th 2009, 03:48 PM #1
Newbie
Joined
Apr 2009
Posts
13
applying math to surveying
Hi there,
Dont know if have posted this question to the rite forum.
Have attached a question on solving of vertical curves.
can any help or give me a start of where to begin s... | 4 | [
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-0.0033569335937... | 26,937 | 26937 | |
Geometric sequence & series
November 23rd 2008, 08:16 PM #1
Member
Joined
Sep 2007
Posts
198
Geometric sequence & series
A sequence of numbers u_1, u_2, …, u_n, … is given by the formula $u_n = 3(\frac{2}{3})^n - 1$ where n is a positive integer.
(a) Find the value of u_1, u_2 and u_3.
(b) Show t... | 4 | [
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0.000364303588867... | 26,938 | 26938 | |
Bifurcation Analysis in Population Genetics Model with Partial Selfing
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 164504, 9 pages
http://dx.doi.org/10.1155/2013/164504
Research Article
Bifurcation Analysis in Population Genetics Model with Partial Selfing
^1School of Science, Sichuan University of ... | 5 | [
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-0.052... | 26,939 | 26939 | |
please help with using double integrals to solve for mass and center of mass
November 15th 2009, 04:10 PM #1
Newbie
Joined
Nov 2009
Posts
3
please help with using double integrals to solve for mass and center of mass
Find the mass and center of mass of the lamina for density = k
where R = a triangle ... | 5 | [
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-0.02783203125,
-0.00... | 26,940 | 26940 | |
Find the Positive Root Of The Following Equation
June 27th 2012, 07:56 AM
gregzaj1
Find the Positive Root Of The Following Equation
Positive root of the following equation:
34*x^2 + 68*x - 510
Recall:
a*x^2 + b*x + c
x1 = ( - b + sqrt ( b*b - 4*a*c ) ) / ( 2*a)
I have no idea how to go abou... | 4 | [
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0.0712890625,
0.04052734375,
0.018... | 26,941 | 26941 | |
Solve the linear programming problem
July 10th 2010, 10:23 AM #1
Newbie
Joined
Jun 2010
Posts
16
Solve the linear programming problem
Assume $x >= 0$ and $y >= 0$
Minimize $C=4x+2y$ with the constraints.
${ x+y>=7, 4x+3y>=4, x<=10, y<=10 }$
So, the minimum is 10, now what ! lol
1. Re-... | 4 | [
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0.00396728515625,
0.060302734375,
-0.010070800781... | 26,942 | 26942 | |
Linear and Nonlinear Matrix Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 741430, 2 pages
http://dx.doi.org/10.1155/2013/741430
Editorial
Linear and Nonlinear Matrix Equations
^1Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, General Campus, Evin, Teh... | 5 | [
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-0.007537841796... | 26,943 | 26943 | |
Solving a trig equation
April 14th 2010, 06:59 PM #1
Member
Joined
Mar 2010
Posts
133
Find exact values for all solutions to the following equation on the interval
0 ≤ t ≤ 2pi
2 cos 2t = 1 - 4 cos t
2(2cos^2 -1) = 1 - 4 cos t
4 cos ^2 t -2 = 1 - 4 cost t
4 cos^2 t + 4 cos t - 3 = 0
... | 4 | [
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-0.06494140625,
0.00494384765625,
-0.... | 26,944 | 26944 | |
two problems in binomial theorem
October 13th 2012, 01:10 AM #1
Member
Joined
Jun 2010
From
Zewail University - Cairo - Egypt
Posts
136
two problems in binomial theorem
1)In the expansion of $(2x-3)^1^5$ if $13T3 + 10T4 + T5 = 0$ where Tn is the term number n
find the values of X that satisfy the... | 4 | [
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0.01336669921875,
-0.0130615234375,
... | 26,945 | 26945 | |
question about sequences
July 14th 2009, 02:06 PM #1
Junior Member
Joined
Jan 2009
From
vancouver
Posts
58
question about sequences
it's a fact that every convergent sequence is bounded. recall that, by definition, a sequence {An}has the limit L if for every W>0 there is a corresponding integer N suc... | 4 | [
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0.060546875,
0.01031494140625,
... | 26,946 | 26946 | |
Simplifying Boolean Algebra
January 9th 2010, 04:38 AM #1
Simplifying Boolean Algebra
So I'm preparing for my exam on monday and I found this exercise hanging around in my math book, been staring at it for some time now but still no clue where to start...
Simplify the given Boolean formula:
$x' (yzu + z... | 5 | [
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0.0228271484375,
-0.00506591796875,
-0.08154296875,
0.05957031... | 26,947 | 26947 | |
UPGMA
Construction of a distance tree using clustering with the Unweighted Pair Group Method with Arithmatic Mean (UPGMA).
The UPGMA is the simplest method of tree construction. It was originally developed for constructing taxonomic phenograms, i.e. trees that reflect the phenotypic similarities between OTUs, but it ... | 4 | [
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0.03076171875,
-0.03076171875,
0.... | 26,948 | 26948 | |
Homework Help
Posted by steve alexander on Tuesday, November 25, 2008 at 8:41pm.
An automobile with seven years of use has a commercial value of $34057.7, but five years ago its value was $72250. If the value of such automobile varies exponentially with the time. (36-41)
36.- What was the value of the automobile when... | 4 | [
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-0.0033111572265625,
-0.09130859375,
-0.046386... | 26,949 | 26949 | |
Normal distribution with 2 equations
May 27th 2010, 02:36 AM
LordMayor
Normal distribution with 2 equations
Hi Guys,
I'm having trouble with the following Question. I don't know where I should start and what I need to do with the correlation. I hope you can show me a direction to solve this:
The Mayor ... | 4 | [
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0.08203125,
-0.029052734375,
-0.049560546875,
... | 26,950 | 26950 | |
radius of convergence
July 8th 2008, 03:36 PM #1
Newbie
Joined
Jul 2008
Posts
2
radius of convergence
Hi please could you assist me: questions posted below:
Assuming the function f is holomorphic in the disk $D(0,1) = \{ z \in \mathbb{C}:|z| < 1\}$, prove that $g(z) = \overline {f(\overline z )}$ i... | 5 | [
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0.0177001953125,
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0.0079345703125,
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-0.0634765625,
-0.08837890625,
-0.0184326171875... | 26,951 | 26951 | |
Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 658905, 11 pages
http://dx.doi.org/10.1155/2012/658905
Research Article
Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
... | 5 | [
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-0.06640625,
... | 26,952 | 26952 | |
2 discrete math prob
October 11th 2007, 02:23 PM #1
Newbie
Joined
Nov 2006
Posts
6
2 discrete math prob
i have two problems that i need help with real quick if someone could please help me...
the first is..
1. Let A=B=C=R, and let f:A-->B, g:B-->C be define by f(a)=a^2-3a+5 and g(b)=2b+4. Find:... | 4 | [
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0.0625,
0.02978515625,
0.0703125,
-0.05322265625,
0.02941894... | 26,953 | 26953 | |
Derivatives Help!
May 21st 2008, 02:13 PM #1
Junior Member
Joined
Sep 2007
Posts
69
Derivatives Help!
1)Find the slope of the tangent line to the graph at any point
f(x)=sqrt (3-x)
2) Find the slope of the tangetn line to the graph at given point and give an equation of the tangent line
f(x)... | 4 | [
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0.076171875,
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-0.0... | 26,954 | 26954 | |
[SOLVED] Help Needed...
June 6th 2009, 04:53 AM #1
Banned
Joined
Apr 2009
Posts
6
[SOLVED] Help Needed...
-Show that x-a is a factor of x^n-a^n for any positive integer n.
-Show that x+a is a factor of x^n+a^n for any positive odd integer n.
Prove that if a≠b, then (a, b) and (b, a) lie on a ... | 5 | [
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Series problems
February 16th 2009, 09:15 PM #1
Series problems
I need some help with these series problems, i do not know what test to use on them. Help appreciated thanks (also i do not know how to type a summation symbol).
Summation n=0 to infinity 13arctan(n)
summation n=1 to infinity sin(43n) / 1... | 5 | [
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0.0888671875,
-0.027709... | 26,956 | 26956 | |
log differntial
April 10th 2010, 11:59 AM #1
Junior Member
Joined
Nov 2009
Posts
29
log differntial
y= ln(3x+4)^4
i got
4 ln (3x+4) then = 4 * 1/ (3x+4) * 3
4 * 3/ (3x+4) y' = 12/(3x+4)
Ah, $\log(x^2) = 2\log(x) eq (\log(x))^2$ which is where you've gone wrong.
Just differentiate i... | 5 | [
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Initiating a Mathematical Model for Prediction of 6-DOF Motion of Planing Crafts in Regular Waves
International Journal of Engineering Mathematics
Volume 2013 (2013), Article ID 853793, 15 pages
http://dx.doi.org/10.1155/2013/853793
Research Article
Initiating a Mathematical Model for Prediction of 6-DOF Motion of Pl... | 4 | [
-0.044189453125,
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... | 26,958 | 26958 | |
Performance of 2D Compressive Sensing on Wide-Beam Through-the-Wall Imaging
Journal of Electrical and Computer Engineering
Volume 2013 (2013), Article ID 636972, 11 pages
http://dx.doi.org/10.1155/2013/636972
Research Article
Performance of 2D Compressive Sensing on Wide-Beam Through-the-Wall Imaging
CISS Departmen... | 4 | [
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Points A, B, and C lie on a circle of radius 1. What is the
Author Message
TAGS:
Points A, B, and C lie on a circle of radius 1. What is the [#permalink] 27 Sep 2009, 08:00
... | 4 | [
0.0272216796875,
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A geometry/derivative word problem
November 28th 2008, 08:05 PM #1
Newbie
Joined
Nov 2008
Posts
7
A geometry/derivative word problem
a container has the shape of an open right circular cone, as shown in the figure above. The height of the container is 10 cm and the diameter of the opening is 10 cm. Water... | 5 | [
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0.... | 26,961 | 26961 | |
Finding the scalar equation of a plane
March 26th 2009, 07:29 AM
Dudeface
Finding the scalar equation of a plane
Here's the question:
Find the scalar equation of the plane through the points M(1,2,3) and N(3,2,-1) that is perpendicular to the plane with equation 3x + 2y + 6z +1 = 0.
Now I know that the ... | 4 | [
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... | 26,962 | 26962 | |
Chapter 8
COMMODITY-BY-INDUSTRY INTERINDUSTRY MODELS: THE LOGIC OF THE NOVA SCOTIA INPUT-OUTPUT MODEL
This section develops an economic model from the accounting tables f... | 4 | [
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the encyclopedic entry of Menelaus' theorem
Menelaus' theorem, attributed to Menelaus of Alexandria, is a theorem about triangles in plane geometry. Given points A, B, C that form triangle ABC, and points D, E, F that lie on lines BC, AC, AB,
then the theorem states that D, E, F are collinear if and only if:
$frac... | 5 | [
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Homework Help
Posted by Cam on Tuesday, December 6, 2011 at 12:39pm.
A plane is heading west at 200 mph. The wind is blowing S30°W at 25 mph.
1. What is the ground speed of the plane?
2. When you solve the triangle, what is the smallest angle?
3. What is the largest angle of the triangle?
4. What is the remaining ... | 5 | [
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... | 26,965 | 26965 | |
Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 561980, 11 pages
http://dx.doi.org/10.1155/2013/561980
Research Article
Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled ... | 5 | [
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0... | 26,966 | 26966 | |
laplace transformation #2
Factor 2 error in Inverse Laplace Transform #2
There was a discussion of a curious LaplaceTransform glitch a while ago in this group ( http://forums.wolfram.com/mathgroup/archive/2004/Oct/msg00248.html ). Here is a similar example in version 5.1:
In[1]:= InverseLaplaceTransform[p*(PolyGamma[p... | 5 | [
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-0.078125,
-0.0644531... | 26,967 | 26967 | |
Math Help
March 14th 2013, 07:52 AM #1
Newbie
Joined
Mar 2013
From
bucharest
Posts
5
derivatives
I must find an ecuation like f(x) and to resolve this. f(x)+f`(x)=0 . (where f`(x) is derivative) I made smth but it`s correct. my teacher said to me that f(x) is smth like sinx*e^x but with
somethin... | 5 | [
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... | 26,968 | 26968 | |
Estimation and Accuracy of Origin-Destination Highway Freight Weight and Value Flows
Paul Metaxatos
University of Illinois at Chicago
ABSTRACT
This paper proposes a spatial interaction modeling framework and implements a maximum likelihood estimation of highway freight weight and value flows using the gravity model. ... | 4 | [
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... | 26,969 | 26969 | |
double integrals
March 1st 2006, 09:18 AM #1
Newbie
Joined
Mar 2006
Posts
2
double integrals
an some1 please help me with the following 2 question, i have attemped both but seem to come out with the correct answer:
1. ∫dx ∫(x-y)dy the 1st integral sign has the limits a and 0. the 2nd sign has the li... | 5 | [
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-0.14453125,... | 26,970 | 26970 | |
find the exact values for the horizontal tangent
i just would like someone to check my work on this one i think ive done it correctly
f(x)= x^3+x^2-x-17
f' = 3x^2-2x-1
3x^2-2x-1=0
(3x+1)(x-1)=0
x= 1, -1/3
1^3+1^2-1-17=-16
(-1/3)^3+(-1/3)^2-(-1/3)-17=-17.3
(1, -16), (-1/3,-17.... | 4 | [
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Probability of at least 5 consecutive heads in 10 coin flips
P: 19
A good way to visualize all the possibilities is to think of the possibilities in sets, where the run of at least five consecutive heads starts at some toss, n, and a set includes all possibilities
for some n. The sets of permutations can be specified ... | 4 | [
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... | 26,972 | 26972 | |
Coordinates, vectors and cross products
October 15th 2010, 07:30 AM #1
Newbie
Joined
Oct 2010
Posts
9
Hi
I have 4 3D points and I have been told I need to create 2 vecors out of them. I then need to cross product these vecotrs to then get another vector.
Now with my terrible grasp of maths, I'm ... | 4 | [
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Show that dy/dx is +ve when a < x < b
December 15th 2011, 03:23 AM #1
Member
Joined
Jul 2009
From
London
Posts
109
Show that dy/dx is +ve when a < x < b
I have a differentiation problem which starts with
$y = x^2 (4 - x)$
I have to find dy/dx. No problem there, get
$f'(x) = 8x - 3x^2$
... | 4 | [
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0.08056640625,
-0.0015640258... | 26,974 | 26974 | |
trig and limits problem
April 4th 2012, 08:27 PM #1
Newbie
Joined
Apr 2012
From
phoenix,az
Posts
2
trig and limits problem
hi,
using sin(θ)/θ x->0 = 1 explain how
a.) lim (sin2x)/5x = 2/5 as x ->0
b.)lim (cos h -1)/h = 0 as h->0 using the half angle formula cos h = 1 - 2 sin^ * (h/2)
... | 5 | [
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-0.0137939... | 26,975 | 26975 | |
-
andrew123 can anyone integrate using substitution: sin[(sqrt)x] / (sqrt)x
Safrole u = sqrt(x), so du = 1/(2sqrt(x)) dx
Copter2 looks like a sin there though :o
Safrole thus we get int( sin(sqrt(x))/sqrt(x) dx ) = 2*int( sin(u) du )
= -2cos(u) = -2cos(sqrt(x))
TheBlueWizard equival... | 5 | [
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Math Help
January 16th 2008, 07:50 PM #1
sofreshsoc1ean
Guest
log
i have a final exam tomorrow for calculus, and I saw some of the questions
I need help figuring out the answers!
here aree some
1.)condense into a single log:
log5+3log x-2+log y+ (2/3)log z
2.) expand :
ln 4 [cube root... | 4 | [
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Project Euler with Scala
I came across
this
interesting post about solving some
Project Euler
questions using Scala. Being a fan of Project Euler myself, I though I'll outline some of the solutions that I came up using Scala. Of course, I have taken trivial examples and the objective is more
to learn Scala than to ... | 5 | [
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... | 26,978 | 26978 | |
find limit by rearrangement or L'Hopital's?
April 11th 2008, 08:50 PM #1
Newbie
Joined
Apr 2008
Posts
7
find limit by rearrangement or L'Hopital's?
Hi, 1st post.
According to my text book the following limit converges to $e^2$:
$\lim_{n\to\infty}(\frac {n + 3}{n + 1})^n<br />$
through rearra... | 5 | [
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Some Sufficient Conditions for Starlikeness and Convexity of Order
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 869469, 4 pages
http://dx.doi.org/10.1155/2013/869469
Research Article
Some Sufficient Conditions for Starlikeness and Convexity of Order
^1Department of Mathematics, Suqian College, Suqia... | 5 | [
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... | 26,980 | 26980 | |
On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 168425, 13 pages
http://dx.doi.org/10.1155/2014/168425
Research Article
On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential E... | 5 | [
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-0.... | 26,981 | 26981 | |
A few math problems I need help on.
December 21st 2009, 02:51 PM #1
Newbie
Joined
Dec 2009
Posts
8
A few math problems I need help on.
1. Write the equation of the line (in point slope form) that is parallel to the line y=-3x-2 and passes through the point (3,-4)
2. Write the equation of the line (i... | 4 | [
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Proof for Associative Law for Symmetric Difference
January 7th 2009, 05:43 PM
h2osprey
Proof for Associative Law for Symmetric Difference
That is, prove that A delta (B delta C) = (A delta B) delta C.
I managed a lengthy proof but only with the use of De Morgan's Laws - just checking if this is acceptable?
... | 5 | [
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0.03125,
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0.03125,
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0.06005859375,
0.02001953125,
0.08740234375,
-0.112304687... | 26,983 | 26983 | |
Matrix eigenvalues
January 28th 2009, 03:10 PM #1
Newbie
Joined
Jan 2009
Posts
3
Matrix eigenvalues
If you are told that a square matrix M is diagonalisable, and it has only one eigenvalue which is c, then how do you show that M=cI, where I is the identity matrix?
Alternatively, and more generally, ... | 5 | [
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0.0245361328125,
0.05029296875,
0.0820... | 26,984 | 26984 | |
Taylor series expansion
June 26th 2010, 10:53 AM
usagi_killer
Taylor series expansion
Find the Taylor series for http://stuff.daniel15.com/cgi-bin/ma...%5Csqrt%7Bx%7D centered around http://stuff.daniel15.com/cgi-bin/mathtex.cgi?x=1.
I've gotten pretty close but I don't know how to put it back into summatio... | 5 | [
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... | 26,985 | 26985 | |
Factoring Quadratic equations
January 25th 2011, 05:02 PM #1
Newbie
Joined
Jan 2011
Posts
1
Factoring Quadratic equations
I remember doing something like this in Algebra 2, but I am in PreCal so sorry if it is the wrong section..
The equation is:
2x^2+9x+4=0
When I plug this equation into t... | 4 | [
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0.028564453125,
-0.052978515... | 26,986 | 26986 | |
Exponential Attractor for Coupled Ginzburg-Landau Equations Describing Bose-Einstein Condensates and Nonlinear Optical Waveguides and Cavities
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 390476, 8 pages
http://dx.doi.org/10.1155/2013/390476
Research Article
Exponential Attractor for Coupled Ginzburg-... | 4 | [
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0.04248046875,
-0.013671875,
-0.117675781... | 26,987 | 26987 | |
Logs
October 15th 2012, 06:21 AM
RD33
Logs
Solve for x: (9/4)log4x=10
this is what I got:
log4 (x^(9/4))=10
4^10 = x^(9/4)
(4^10)^(4/9) = (x^(9/4))^(4/9)
4^(4/10) = x
4^(2/5) =x
am I on the right track?
October 15th 2012, 06:37 AM
topsquark
Re: Logs
Quote:
First of all ... | 4 | [
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how much paper would I need to write out this number?? (applied use of logarithms)
December 27th 2012, 06:13 PM
zachd77
how much paper would I need to write out this number?? (applied use of logarithms)
Got this problem to do....... don't know where to start. Need help!
If 9^(9^9) is multiplied out and type... | 5 | [
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the encyclopedic entry of relative density
Relative density, sometimes called specific density, is the ratio of the density of a substance to the density of a given reference material. If a substance's relative density is less than one then
it is less dense than the reference; if greater than one then it is denser than... | 4 | [
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... | 26,990 | 26990 | |
Separating the variables or some other way?
April 24th 2010, 01:03 PM #1
Junior Member
Joined
Sep 2008
Posts
32
Separating the variables or some other way?
Hello all,
I'm being confused by a differential equation problem. Solve:
(2x + 4x^2) dy/dx = e^y
My approach has been to transfer the ... | 5 | [
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0.073... | 26,991 | 26991 | |
Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate
Journal of Chaos
Volume 2013 (2013), Article ID 723581, 8 pages
http://dx.doi.org/10.1155/2013/723581
Research Article
Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate
^1Department... | 4 | [
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Nonnegative Matrix Factorizations Performing Object Detection and Localization
Applied Computational Intelligence and Soft Computing
Volume 2012 (2012), Article ID 781987, 19 pages
http://dx.doi.org/10.1155/2012/781987
Research Article
Nonnegative Matrix Factorizations Performing Object Detection and Localization
^1... | 4 | [
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Almost Automorphic Mild Solutions to Neutral Parabolic
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 183420, 10 pages
http://dx.doi.org/10.1155/2013/183420
Research Article
Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain
^1Departm... | 5 | [
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Graphing with Calculus and Calculators
December 16th 2007, 11:34 AM #1
Junior Member
Joined
Dec 2006
Posts
40
Graphing with Calculus and Calculators
I am very annoyed with these certain problems because I have spend 2.5hrs on them and do not have the full answer... If someone can show me their thinking p... | 4 | [
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-0.058349609375,... | 26,995 | 26995 | |
Implict differentiation: 2cosysinx=1
January 26th 2013, 06:27 PM #1
Implict differentiation: 2cosysinx=1
Hello,
The question is to find the equation of the normal to the curve $2\cos y\sin x = 1$ at $(\tfrac{\pi}{4},\tfrac{\pi}{4})$.
I'm not confident with implicit differentiation, but using the product... | 4 | [
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Projectile motion question
November 10th 2009, 06:06 PM
neobeatlemaniac
Projectile motion question
Hi. I'm having trouble solving this problem:
"A prjoectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?"
I tried using the ... | 4 | [
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0.0... | 26,997 | 26997 | |
On what interval is f increasing/decreasing and concave up/down
October 20th 2009, 10:56 AM #1
Newbie
Joined
Mar 2009
From
USA
Posts
21
On what interval is f increasing/decreasing and concave up/down
f (x)= x - 2sinx, 0<x<2pi (less than or equal to)
Regarding this problem, I think that I have it... | 5 | [
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Arithmetic Sequence.
May 18th 2010, 07:40 PM #1
Junior Member
Joined
May 2009
Posts
68
Arithmetic Sequence.
A super ball is dropped from a height of 64 feet. Each time it hits the ground, it rebounds 78% of the distance it has fallen. In theory how far will the ball travel before coming to rest?
Expl... | 4 | [
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