content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Math Help
October 2nd 2006, 06:18 AM #1
Member
Joined
Sep 2006
Posts
75
x^3 - y^3
Suppose that x and y are two real numbers such that x-y=2 and x^2+y^2=8. Find x^3-y^3.
I remember I knew how to solve this at one point, but forgot over the summer.
x-y=2, now square both sides to get:
(x-y)... | 4 | [
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0.00506591796875,
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-0.072265625,
0.0986328125,
0.01324462890625,
0.0027923583984375,
0.0556640625,
0.0615234375,
0.0859375,
-0.09619140625,
-0.041259765625... | 30,000 | 30000 | |
Mathematical Modeling of Cytotoxic Lymphocyte-Mediated Immune Response to Hepatitis B Virus Infection
Journal of Biomedicine and Biotechnology
Volume 2008 (2008), Article ID 743690, 9 pages
http://dx.doi.org/10.1155/2008/743690
Research Article
Mathematical Modeling of Cytotoxic Lymphocyte-Mediated Immune Response to... | 4 | [
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0.10546875,
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0.06591796875,
-0.00848388671875,
0.03125,
-... | 30,001 | 30001 | |
Math Help
September 20th 2008, 01:12 PM #1
Member
Joined
Nov 2006
Posts
152
Show that
For any real number x, let {x} = x −[x] denote the fractional part where [x] is the
usual floor function.
(a) Show that there exist infinitely many positive rationals x such that {x}+{x^2} = 0.99.
(b) Show ... | 5 | [
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0.0576171875,
-0.007598876953... | 30,002 | 30002 | |
Quickly, help please!
January 14th 2006, 11:06 AM #1
Newbie
Joined
Jan 2006
Posts
4
Quickly, help please!
An easy problem, PLEASE answer quickly.
Andrew, Boris, Cedric and Dan are collecting old paper. Toghether they collected 288 kg of it. How much paper did each of them collect if we know that And... | 4 | [
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0.0415... | 30,003 | 30003 | |
I am looking for help with the following
January 28th 2006, 10:27 PM
jaycas21
I am looking for help with the following
The book states
Three Vectors
U= Uxi + 3j+2k
V= -3i + Vyj+3k
W= -2i + 4j+Wzk
are mutally perpendicular Use dot product to solve for the componets
Ux,Vy & Wz
I do ... | 4 | [
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0.04052734375,
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0.023925... | 30,004 | 30004 | |
The Study on Hybridized Two-Band Superconductor
Advances in Condensed Matter Physics
Volume 2013 (2013), Article ID 528960, 7 pages
http://dx.doi.org/10.1155/2013/528960
Research Article
The Study on Hybridized Two-Band Superconductor
^1Program of Physics and General Science, Faculty of Science and Technology, Rajab... | 4 | [
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0.0203857421875,
0.0810546875,
-0.08935546875,
-... | 30,005 | 30005 | |
[SOLVED] Planes and vectors please help
April 12th 2010, 02:20 PM #1
Junior Member
Joined
Apr 2010
Posts
26
[SOLVED] Planes and vectors please help
I need to find the equation of a plane which passes through P( 1, 2, 0) and which is perpendicular to the planes
2x - 3y + 4z + 1 = 0
and
-x + 2y... | 4 | [
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0.038330078125,
-0.0673828125,
-0.0576171875,
0.030517578... | 30,006 | 30006 | |
Measurement and Model Validation of Nanofluid Specific Heat
Capacity with Differential Scanning Calorimetry
Advances in Mechanical Engineering
Volume 2012 (2012), Article ID 181079, 6 pages
http://dx.doi.org/10.1155/2012/181079
Research Article
Measurement and Model Validation of Nanofluid Specific Heat Capacity wit... | 4 | [
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0.0234375,
... | 30,007 | 30007 | |
What would the last 2 digits of 2008^2008 be?
July 23rd 2012, 08:48 PM
Atrey_G
What would the last 2 digits of 2008^2008 be?
Hello,
My question is as stated in the title.
Does anyone know an easy way to solve this.
It doesn't show the answer on a calculator and I don't want to always rely on Wolfram ... | 5 | [
-0.002777099609375,
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0.06982421875,
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0.03662109375,
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0.00323486328125,
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0.0181884765625,
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0.01287841796875,
-0.1098632... | 30,008 | 30008 | |
Holder condition?
November 3rd 2010, 07:17 AM #1
Member
Joined
Oct 2010
Posts
133
Holder condition?
My professor did not discuss this topic in class but it came up in his notes. Any help would be appreciated.
He states that a function $f$ satisfies a Holder condition of order $\alpha$, if there are ... | 5 | [
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0.032958984375,
0.0703125,
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... | 30,009 | 30009 | |
The Measure-Theoretic Entropy and Topological Entropy of Actions over
Journal of Mathematics
Volume 2013 (2013), Article ID 404626, 6 pages
http://dx.doi.org/10.1155/2013/404626
Research Article
The Measure-Theoretic Entropy and Topological Entropy of Actions over
^1Department of Applied Mathematics, Feng Chia Unive... | 4 | [
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-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 524698, 12 pages
http://dx.doi.org/10.1155/2014/524698
Research Article
Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds
^1D... | 5 | [
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Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 457965, 8 pages
http://dx.doi.org/10.1155/2014/457965
Research Article
Positive Solutions of a Singular Nonlocal Fractional Order Differential ... | 5 | [
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... | 30,012 | 30012 | |
18. Differentiation
Returns the derivative or differential of expr with respect to some or all variables in expr.
diff (expr, x, n) returns the n'th derivative of expr with respect to x.
diff (expr, x_1, n_1, ..., x_m, n_m) returns the mixed partial derivative of expr with respect to x_1, …, x_m. It is e... | 5 | [
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0.04541015625,
... | 30,013 | 30013 | |
Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values
The Scientific World Journal
Volume 2013 (2013), Article ID 431868, 7 pages
http://dx.doi.org/10.1155/2013/431868
Research Article
Some Improved Ratio, Product, and Regression Estimators of Finite ... | 5 | [
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0.0380859375,
-0.028198... | 30,014 | 30014 | |
Integration
January 15th 2008, 12:47 PM #1
Integration
First, I apologize for the straight text version. Sorry.
I need to resolve this:
Integral of [e^sqrt(x) / sqrt(x)] dx
Or, rewriting:
Integral of [x^(-1/2) * e^(x^(1/2))] dx
Since the derivative of x^(1/2) is (1/2)*x^(-1/2)
And t... | 4 | [
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0.0057373046875,
0.0082397460... | 30,015 | 30015 | |
real analysis lipschitz continuous
Show that f: R-->R defined as f(x)=(x^2) / (1+x^2) is Lipschitz continuous Can anybody help me with this please??
I presume that by "Lipschitz continuous" you mean what I would call just "Lipschitz": A function, f, is Lipschitz on a set A if and only if there exist a constant C such ... | 4 | [
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Factor a cubic without using CAS
How do you factor $24x^3-96x^2+102x-30=6(2x-5)(x-1)(2x-1)$ without a computer? (Obviously, I used a computer).
Are you aware of the Rational Root Theorem? For convenience I'm going to divide the polynomial by 6: $4x^3 - 16x^2 + 17x - 5 = 0$ Possible rational roots to this polynomial eq... | 4 | [
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0.059326171875,
0.08642578125,
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0.00051116943359375,
-0.03002929687... | 30,017 | 30017 | |
Analytic Formulation for the Sound Absorption of a Panel Absorber under the Effects of Microperforation, Air Pumping, Linear Vibration and Nonlinear Vibration
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 906506, 12 pages
http://dx.doi.org/10.1155/2014/906506
Research Article
Analytic Formulation for t... | 4 | [
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0.10986328125,
... | 30,018 | 30018 | |
Converting polar equations to parametric
September 26th 2007, 03:47 PM
riverjib
Converting polar equations to parametric
Hello-- I have four equations I simply can't figure out:
r=cot(theta)csc(theta)
r=8sin(theta)
r=2cos(theta)sin(theta)
rsin(theta+pi/6)=2
I tried squaring each of these in... | 5 | [
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0.02429... | 30,019 | 30019 | |
Hyperbolic second order
$u_{xx}-3u_{yy}+2u_x-u_y+u=0$
$u(x,y)=u(\xi\cos{\alpha}-\eta\sin{\alpha},\xi\sin{\alpha}+\eta\cos{\alpha}) =\omega(\xi,\eta)$
$\displaystyle\omega_{\xi\xi}(\cos^2{\alpha}-3\sin^2{\alpha})+\omega_{\eta\eta}(\sin^2{\alpha}-3\cos^s{\alpha})-8\omega_{\xi\eta}\sin{\alpha}\cos{\alpha}+\o... | 4 | [
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-0.09912109375,
-0.0306396... | 30,020 | 30020 | |
Determine the convergence.
March 14th 2008, 10:54 AM #1
Junior Member
Joined
Mar 2008
Posts
49
Determine the convergence.
For the following series ∑ of a(n) between n=1 and ∞, determine if
the series converges and if so find the limit. (Hint: use partial
fractions to express a(n).)
(a) a(n)=... | 5 | [
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-0.125,
0.06... | 30,021 | 30021 | |
Interest, compounded quarterly..
July 7th 2009, 03:08 AM
Wesker
Interest, compounded quarterly..
I am unsure/unaware of the formula and how to use it to complete this problem. Any help is greatly appreciated.
Art invests $2700 in a savings account that pays 9% interest, compounded quarterly. if there are no... | 4 | [
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-0.06787109375... | 30,022 | 30022 | |
Find the sum of polynomials
Please find the sum of these problems with the steps: 1. (3x^5-2x^4+6x) and (2x^5+9x^4+4x) 2. (7x^2+9x^4+4-6x^3)-(8-4x^3+4x^4+5x^2)
Sum just means to add. (3x^5-2x^4+6x) + (2x^5+9x^4+4x) ............expand the brackets = 3x^5-2x^4+6x + 2x^5+9x^4+4x ..............now group like terms = 3x^5 ... | 4 | [
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0.004791259765625,
-0.060791015625,
0.01... | 30,023 | 30023 | |
Journal of the South African Institution of Civil Engineering
Services on Demand
Article
Indicators
Related links
Share
Print version ISSN 1021-2019
J. S. Afr. Inst. Civ. Eng. vol.53 no.1 Midrand Apr. 2011
... | 4 | [
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Complex Dynamics of a Diffusive Holling-Tanner Predator-Prey Model with the Allee Effect
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 270191, 12 pages
http://dx.doi.org/10.1155/2013/270191
Research Article
Complex Dynamics of a Diffusive Holling-Tanner Predator-Prey Model with the Allee Effect
Facult... | 5 | [
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-0.0... | 30,025 | 30025 | |
Finding the vertex and x-intercepts of an equation
How do i find the vertex and the x-intercepts of y=2(x-3)(x+1)?
The equatio describes a parabola opening up. You find the x-intercepts if y = 0. Since you have the equation in factored form you can read the values of the x-intercepts directly: x = 3 or x = -1
Expand t... | 4 | [
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0.0390625,
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-0.06152343... | 30,026 | 30026 | |
One more fun proof1
November 12th 2006, 06:37 PM #1
Newbie
Joined
Nov 2006
Posts
22
One more fun proof1
Thank you in advance for any more help!
Prove that S = { n−1/n |n ∈ N} is bounded above and that its supremumn
is equal to 1.
(Hint: First show that 1 is an upper bound for S. Then suppose... | 5 | [
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-0.0791015625,
0.0419921875,
-0.03515625,
... | 30,027 | 30027 | |
Question regarding frations with variables?
May 24th 2010, 11:33 AM #1
Question regarding frations with variables?
Hello, I feel ridiculous asking this question but I just cannot remember.
This is my problem:
5/6x+1/2=5/3x
I know I am supposed to get the common denominator, but how do I do that whe... | 4 | [
-0.055419921875,
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0.033935546875,
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0.011962890625,
-0.07666015625,
0.0... | 30,028 | 30028 | |
A Lie Symmetry Classification of a Nonlinear Fin Equation in Cylindrical Coordinates
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 527410, 10 pages
http://dx.doi.org/10.1155/2014/527410
Research Article
A Lie Symmetry Classification of a Nonlinear Fin Equation in Cylindrical Coordinates
Department of ... | 5 | [
-0.0947265625,
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0.078125,
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Minimal Polynomials
February 3rd 2010, 07:39 AM
Kirsty
Minimal Polynomials
Hi
I am wondering how to find the minimal polynomial of 2+\sqrt{i} over \mathbb{Q}.
I have got it to x^{4}-2x^{2}+9 but I don't know how to shaw that this is irreducible!
Thanks
February 3rd 2010, 09:39 AM
tonio
Quo... | 5 | [
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calc 3, maxes and mins. quick question
October 21st 2009, 02:50 PM #1
Member
Joined
Nov 2008
From
MD
Posts
165
calc 3, maxes and mins. quick question
find the maximum and minimum values of the function subject to the given contraint.
f(x,y)= 8x+3y
subject to (x-1)^2 + (y+2)^2 = 9
so i to... | 5 | [
0.004547119140625,
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0.0458984375,
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0.0322265625,
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0.0079345703125,
0.0537109375,
-0.00872802734375,
-0.0859375,
-0.... | 30,031 | 30031 | |
Cyclically 130
March 19th 2013, 01:58 AM #1
Junior Member
Joined
Sep 2012
From
Kota
Posts
73
Cyclically 130
Consider all quadruples of real numbers (x1,x2,x3,x4), such that x1≤x2≤x3≤x4 and each of the four numbers plus the product of the other three equals 130. If S is the sum of all possible values ... | 4 | [
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0.06884765625,
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-0... | 30,032 | 30032 | |
Roots of linear sum of Fibonacci polynomials
Some approach to guess solutions:
G
[1]
has a single solution ##x=2##
G
[2]
has two solutions ##x=1\pm i##
##G_3 = x^3-2x^2+3x-2## has three solutions ##x=1##, ##x=\frac{1}{2}(1\pm i\sqrt{7})##
##G_4 = x^4-2x^3+4x^2-4x+2## has four solutions ##x=\frac{1}{2}(1\pm i)-\... | 4 | [
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0.01031494140625,
... | 30,033 | 30033 | |
Need help with Calculus questions (Test Tommorow)
September 29th 2009, 11:20 AM #1
Newbie
Joined
Mar 2009
From
USA
Posts
21
Need help with Calculus questions (Test Tommorow)
Hey guys, I am having some difficulty with a couple of Calculus questions on my review. For the most part I feel pretty confide... | 5 | [
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... | 30,034 | 30034 | |
Hyperbolic Inverse Equation
January 22nd 2011, 01:44 AM #1
Newbie
Joined
Mar 2010
Posts
15
Hyperbolic Inverse Equation
Hi, I'm trying to work out the following:
Find non-trivial values of A and B for which u=Asech^2xBx is a solution of (d^2u/dx^2)-u+3u^2.
Any help would be really appreciated!
... | 5 | [
-0.0220947265625,
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0.002899169921875,
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0.0022735595703125,
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0.033935546875,
0.00946044921875,
-0.011108398437... | 30,035 | 30035 | |
Need help with Calculus questions (Test Tommorow)
September 29th 2009, 11:20 AM
Gitano
Need help with Calculus questions (Test Tommorow)
Hey guys, I am having some difficulty with a couple of Calculus questions on my review. For the most part I feel pretty confident, but these four have been bothering me. (Also ... | 5 | [
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-... | 30,036 | 30036 | |
Joint Optimization of Microstrip Patch Antennas Using Particle Swarm Optimization for UWB Systems
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 649049, 8 pages
http://dx.doi.org/10.1155/2013/649049
Application Article
Joint Optimization of Microstrip Patch Antennas Using Particle Sw... | 4 | [
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... | 30,037 | 30037 | |
Solutions for the December Problems
192.
Let ABC be a triangle, D be the midpoint of AB and E a point on the side AC for which AE = 2EC. Prove that BE bisects the segment CD.
In the following solutions, F is the intersection point ... | 5 | [
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-0.09521484375,... | 30,038 | 30038 | |
Does this differential equation have a solution?
xvudi
Ohm is resistance. I apologize for the confusion.
So R(r) = C1 * exp(0 * r) = C1
This is really the long way around.
R'(r) = 0 ==> R(r) = C
The idea is that if the derivative of something is zero, the something must be a constant.
Now, using the initial con... | 5 | [
-0.0673828125,
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0.015380859375,
... | 30,039 | 30039 | |
the encyclopedic entry of tractrix
Tractrix
(from the
Latin
verb
trahere
"pull, drag"), or
tractrice
, is the
curve
along which a small object moves, under the influence of friction, when pulled on a
horizontal plane
by a piece of thread and a puller that moves at a right angle to the initial line between th... | 5 | [
-0.017578125,
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-0.06982421875,
0.035400390625,
-0.03369140625,
-0.02783203125,
... | 30,040 | 30040 | |
Word Problem #5
May 12th 2006, 12:37 PM #1
Newbie
Joined
May 2006
Posts
5
Word Problem #5
Chrstobal decided to make a 28km canoe trip up and 28km trip down the Grand River. The speed of the current is3km. One way, Christobal travelled with the current and the other way against the
current. During his... | 4 | [
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0.019287109375,
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0.047119140625,
-0.064453125,
0.0299072265... | 30,041 | 30041 | |
Modelling the Influence of Manufacturing Process Variables on Dimensional Changes of Porcelain Tiles
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 142343, 12 pages
http://dx.doi.org/10.1155/2013/142343
Research Article
Modelling the Influence of Manufacturing Process Variables on Dimens... | 4 | [
0.00848388671875,
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0.07568359375,
0.094... | 30,042 | 30042 | |
Parametric equation / Cartesian equation
July 20th 2010, 10:16 AM
wiseguy
Parametric equation / Cartesian equation
My textbook says:
x = 2 + 5 tan t
y = 1 + 3 sec t
By performing appropriate operations on the parametric equations, eliminate the parameter and get a Cartesian equation relating x a... | 4 | [
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0.0274658203125,
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-0.0324707... | 30,043 | 30043 | |
The Decibel
Henry Ott Consultants
Electromagnetic Compatibility Consulting and Training
The Decibel
The decibel (dB) is a very commonly used and often misunderstood unit of measurement. The dB is a logarithmic unit express... | 4 | [
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0.0120849609375,
-0.014343... | 30,044 | 30044 | |
Surface Integral Help
December 11th 2013, 05:25 AM #1
Junior Member
Joined
Dec 2013
From
United Kingdom
Posts
46
Thanks
1
Surface Integral Help
I'm really not sure how to set up the question or solve it, any help would be appreciated.
Thanks in Advance.
Re: Surface Integral Help
Y... | 5 | [
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-0.052... | 30,045 | 30045 | |
Trig equation help!!
Hi guys here is my question cos3x= sinx for the domain--- 0</ x </ Pi/2 any help would be appreciated
Transform the equation like this.... sin(90-3x)=sinx then the rest is easy.............
No it's not still easy, as you have to take into account the symmetries of the unit circle as well. You're ... | 4 | [
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differential equation word problem.
May 15th 2007, 01:08 PM
myoplex11
differential equation word problem.
suppose an object of weight 128 lbs is projected downwards with an initial velocity of 10ft/s in medium that offers resistance of magnitude 8|v|. Assuming gravitational acceleration is constant
(g=32ft/s... | 5 | [
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-0.060546875,... | 30,047 | 30047 | |
-Variation in the Sense of Riesz-Korenblum
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 718507, 12 pages
http://dx.doi.org/10.1155/2013/718507
Research Article
Functions of Bounded -Variation in the Sense of Riesz-Korenblum
^1Escuela de Matemática, Universidad Central de Venezuela, Los ... | 5 | [
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-0.03173828125,
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0.01531982421875,
-0.0... | 30,048 | 30048 | |
Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 835098, 15 pages
http://dx.doi.org/10.1155/2014/835098
Research Article
Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints
^1College of... | 5 | [
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0.0400390625,
-0.002... | 30,049 | 30049 | |
Coordinate geometry
April 1st 2008, 06:38 AM #1
Member
Joined
Jul 2007
Posts
147
Coordinate geometry
Dear forum members,
I have a following problem
A circle touches both the x-axis and the y-axis and passes through the point (1,2). Find the equation of the circle. How many possibilities are ... | 4 | [
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0.11962890625,
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0.05029296875,
0.041259765625,
0.06689453125,
-0.0810546875,
-0.0... | 30,050 | 30050 | |
Commutative and Bounded BE-algebras
Algebra
Volume 2013 (2013), Article ID 473714, 5 pages
http://dx.doi.org/10.1155/2013/473714
Research Article
Commutative and Bounded BE-algebras
Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
Received 2 August 2013; Ac... | 5 | [
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0.036865234375,
0.02502... | 30,051 | 30051 | |
Rate of Change
April 25th 2009, 06:48 PM #1
Newbie
Joined
Dec 2008
Posts
19
Rate of Change
The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture had 10,000 bacteria initially, 20,000 a time t1
minutes and 100,000... | 5 | [
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-0.052001953125,... | 30,052 | 30052 | |
need help with complex number
May 11th 2013, 08:50 PM #1
Junior Member
Joined
May 2013
From
thailand
Posts
43
need help with complex number
Hi, the question I'm struggle with is (z^2 + 1)^3 = -1
I have to find all the solutions for this question and the answer should be in Cartesian form
I s... | 5 | [
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0.0234375,
-0.023681640625,
-0.047607421875,
-0.0... | 30,053 | 30053 | |
Synchronization of Chaotic Delayed Neural Networks via Impulsive Control
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 305264, 10 pages
http://dx.doi.org/10.1155/2014/305264
Research Article
Synchronization of Chaotic Delayed Neural Networks via Impulsive Control
^1School of Automation and Electronic... | 5 | [
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0.01531982421875,
-0.0... | 30,054 | 30054 | |
Some of the people in Town X are left-handed, some are tall
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Some of the people in Town X are left-handed, some are tall [#permalink] 05 Dec 2009, 09:27
... | 4 | [
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Vector Dot and Cross Products
November 15th 2007, 11:00 AM
oaksoft
Vector Dot and Cross Products
OK I'm pretty new to Vectors and I'm missing something very basic here.
Any help would be appreciated.
I can recite equations on both Dot and Cross products until I am blue in the face.
I can even under... | 4 | [
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Minimizing Diagonals of rectangles
November 15th 2006, 01:10 PM
Jacobpm64
Minimizing Diagonals of rectangles
Of all rectangles with given area, $A$, which has the shortest diagonals?
I'm not sure what this question is asking, but I tried. I'll show my work, Please tell me if I did it correctly or help me if... | 5 | [
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Modulo Definition of Addition and Multiplication
March 15th 2011, 02:36 PM #1
Member
Joined
Nov 2010
Posts
86
Modulo Definition of Addition and Multiplication
Some help with the following proof would be great:
Zn is the set of integers modulo n
Fix an integer n >= 2. Addition and multiplicatio... | 4 | [
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Math Help
May 8th 2012, 04:26 PM #1
Newbie
Joined
May 2012
From
NZ
Posts
7
Query
Where possible find all angles between 0 and 2(pi) that satisy the equation?
cot^2(theta)+5 = 6cot(theta)
Present your answer in radians
I got theta = (pi)/4 radians and 3.927 radians.
Is this correc... | 4 | [
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Proof about eigenvalues/vectors of a linear transformation
June 27th 2009, 05:50 PM #1
Proof about eigenvalues/vectors of a linear transformation
I had to say whether the following affirmation was true or not and explain. I fell in love with the proof I gave : (I hope there's no flaws in it)
Let $T$ be a line... | 5 | [
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Circle Geometry Proof - Opposite Angles of a Cyclic Quadrilateral are Supplementary
May 17th 2009, 02:53 AM
xwrathbringerx
Circle Geometry Proof - Opposite Angles of a Cyclic Quadrilateral are Supplementary
Hi
I was wondering if anyone could please show me how to prove the theorem: opposite angles of a cycl... | 4 | [
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How often do various outcomes occur in games of chance? - RGT Online
How often do various outcomes occur in games of chance?
3 December 2012
By
Alan Krigman
Casino players often wonder about the prospects of experiencing various numbers of rounds before some outcome occurs or between results. The event of interest ... | 4 | [
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This is a straight line?
June 9th 2011, 09:01 AM #4
MHF Contributor
June 9th 2011, 08:02 AM #3
June 9th 2011, 07:59 AM #2
June 9th 2011, 07:44 AM #1
Member
So either [tex]\frac{dY}{dx}= 0[//tex] or $(1+ Y)^{-\frac{3}{2}}= 0$. But that second equation is impossible.
That's essentially what Ackbeat said.
... | 5 | [
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Getting vector normal from parametric equations
October 25th 2008, 03:12 PM #1
Member
Joined
Jun 2008
Posts
175
Question states "The Cartesian equation of the plane containing the line x=3t, y=1+t, z=2-t and passing through the point (-1,2,1) is?"
I know I need to get the vector normal from the param... | 5 | [
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Radius of curvature problem
March 13th 2009, 11:54 AM
Stonehambey
Radius of curvature problem
I'm having a little trouble finding the radius of curvature for problems of the following form
$y^n=f(x)$
For examples. I'm asked to find the radius of curvature at the point (0,0) for the curve $y^2=4ax$
... | 5 | [
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find (f + g) (x) and its domain
f(x) = 1 / squarroot(x) g(x) = x^2 - 4x how do i begin?
$(f+g)(x) = \frac{1}{\sqrt{x}} + x^2 + 4x$ What values can't you plug into the function?
Wow, so then (f/g)(x) would have the same domain? And so would (fog)(x) And so would (f + g)(x) for these same values of g and f??? f(x) = 1 ... | 4 | [
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Taylor Polynomial
April 21st 2008, 09:49 AM
akhayoon
Taylor Polynomial
Question was
evaluate the 4th taylor polynomial of $\sqrt{3+x^{2}}$ around a=-1
my answer was
$f4(x)=2-\frac{-(x+1)}{2}-\frac{(x+2)^{2}}{(8)2!}-\frac{3(x+1)^{3}}{(32)3!}-\frac{15(x+1)^{4}}{(128)4!}$
the marker notes howev... | 5 | [
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Area of triangle in parallelogram
November 24th 2011, 07:07 AM
Kanwar245
Area of triangle in parallelogram
The questions asks for finding the area of triangle AMN. Also, ADEB and ADCF are parallelograms.
PS: there's a typo in the diagram, area of ADCB = 68cm^2
November 24th 2011, 07:45 AM
Quacky
Re: It's... | 4 | [
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Equation of line that is tangent to graph of f and parallel
May 30th 2009, 09:50 AM #1
Newbie
Joined
May 2009
Posts
12
Equation of line that is tangent to graph of f and parallel
I need to find an equation of the line that is tangent to the graph and parallel to the given line:
function:
$f(x)=x... | 4 | [
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Chi-Square Distribution
1. Exploratory Data Analysis
1.3. EDA Techniques
1.3.6. Probability Distributions
1.3.6.6. Gallery of Distributions
1.3.6.6.6. Chi-Square Distribution
Probability Density The chi-square distribution results when ν independent variables with standard normal distributions are squared and summ... | 4 | [
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... | 30,070 | 30070 | |
Permutations
June 5th 2008, 06:35 AM #1
Newbie
Joined
Jun 2008
Posts
15
Hi , i am kinda weak at permutations nd ve been breakin me head
Find the number of ways in which a student can attempt a exam, such that he answers at least two questions out of a total of 150 questions in the exam , given each q... | 4 | [
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Math Help
October 12th 2011, 06:56 AM #1
Radicals
Hello forum, vaironxxrd here.
I somehow con fussed myself trying to solve radicals I got many more questions but I will ask the simple ones first.
Problem: $\sqrt12$
What I believe is the solution is $3\sqrt2$
Procedure: $12/3=4 , 4/2= 2$
Re: ... | 4 | [
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Find Equation of Tangent Line
Find the equation of a tangent line at the given value (in form Ax+Bx+C=0) $y^3+xy-y=8x^4$ ; x=1
first you have to find the slope of the function by finding the derivative which with this function you have to do implictly then plugging in 1and whatever why value we get by plugging 1 into ... | 5 | [
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another question
December 13th 2008, 06:40 PM #1
Junior Member
Joined
Dec 2008
Posts
27
another question
I have another question if someone wouldn't mind helping me.
how would you differentiate:
y = ((x^2+4)^2) * ((2x^3-1)^3)
My first thought was that it involved two separate Chain Rules ... | 4 | [
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Rate of divergence of Lebesgue integrals.
February 9th 2011, 03:04 AM
Jezuz
Rate of divergence of Lebesgue integrals.
Hi!
I have a couple of problems from the book: Mathematics for physics and physicists by W. Appel, which I can not solve.
The problems are:
1) Show that
$\int_1^x dt \frac{| \si... | 5 | [
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Numerical Solution of the Modified Equal Width Wave Equation
International Journal of Differential Equations
Volume 2012 (2012), Article ID 587208, 15 pages
http://dx.doi.org/10.1155/2012/587208
Research Article
Numerical Solution of the Modified Equal Width Wave Equation
Department of Mathematics, Faculty of Educat... | 5 | [
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Sapnning Sets
March 8th 2010, 08:40 AM #1
Sapnning Sets
So to determine if a set is a spanning set, you find if the determinant is a non-zero, yes? What do you do for non-square matricies?
Your question makes no sense: think carefully what you want to ask and then ask it within the proper context. This i... | 5 | [
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the encyclopedic entry of Condorcet's Jury Theorum
Condorcet's jury theorem
is a
political science
theorem about the relative probability of a given group of individuals arriving at a correct decision. The theorem was first expressed by the
Marquis de Condorcet
in his 1785 work
Essay on the Application of Analysi... | 4 | [
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the encyclopedic entry of Quotient vector space
In
mathematics
, with 2- or 3-dimensional
vectors
with
real
-valued entries, the idea of the "length" of a vector is intuitive and can easily be extended to any
real vector space R^n
. It turns out that the following properties of "vector length" are the crucial o... | 4 | [
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Help on the Proof Checker
Related Pages
The Proof Builder uses a logical system that closely resembles the calculus used by E. J. Lemmon in his book Beginning Logic (London: Chapman & Hall) and by Colin Allen in his book Logic Primer
(Cambridge: MIT Press 1992). Some familiarity with either system or with natural ded... | 5 | [
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What is the range of this function? the function is f(x,y)=2xy/(x^2+y^2)
March 2nd 2013, 12:48 AM #1
Newbie
Joined
Dec 2012
From
leb
Posts
9
What is the range of this function? the function is f(x,y)=2xy/(x^2+y^2)
the function is f(x,y)=2xy/(x^2+y^2)
the domain is R-{(x,y)=(0,0)}
I managed to... | 4 | [
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Working with sec...any thoughts
November 28th 2010, 02:37 PM
minusb
Working with sec...any thoughts
Hi,
I'm solving the integral of sec x.
I'm using a t sub ie $t = tan(x/2)$
I've integrated to $ln(|1+t|/|1-t|)$
Now I believe I have to multiply inside the brackets by $cos(x/2)+sin(x/2)$ so I'... | 5 | [
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Surface Area of an Astroid
December 7th 2008, 05:20 PM
adiman84
Surface Area of an Astroid
Hi all,
I have a presentation tomorrow on a homework problem and I am stuck on the following problem:
Find the surface area of the astroid x^(2/3) + y^(2/3) = 1
Since it is symmetric I leave the bottom part o... | 5 | [
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Question about a derivative problem
September 13th 2012, 04:48 PM #1
Newbie
Joined
Sep 2012
From
United States
Posts
7
Question about a derivative problem
The problem is simply
f(x) = x^(3/2)
using (f(x+h) - f(x)) / h and multiply with the conjugate I get
(x+h)^3 - x^3
/
h(x+h... | 5 | [
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Big System Equations
May 7th 2007, 04:32 PM
stones44
Big System Equations
z = (90-x)
w = (120-y)
y = (180-x)
x = (120 - v)
v = 180-(240-y)
Solve for any of them, I don't care! They all end up solving eachother..AHH is these even possible?
May 7th 2007, 05:17 PM
topsquark
Quote:
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Sampling with replacement
January 20th 2010, 07:45 PM #1
Sampling with replacement
A = {1, 2, ..., N} is a set of N integers.
I'm sampling from A, one element each time, with replacement.
How many sampling may I expect to perform, in average, before obtaining one element that already came out?
I wo... | 5 | [
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... | 30,086 | 30086 | |
Geometric and quadratic means
May 4th 2007, 12:06 PM #1
Newbie
Joined
May 2007
Posts
5
Geometric and quadratic means
I suspect that there is no pair of distinct integers a, b for which the geometric mean and the quadratic mean (root mean square) are both integers, but I am getting nowhere trying to prove... | 4 | [
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Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 498902, 11 pages
http://dx.doi.org/10.1155/2013/498902
Research Article
Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations
^1School of Mathematical ... | 5 | [
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Circle Question
June 2nd 2007, 01:03 PM #1
Member
Joined
May 2007
Posts
150
Circle Question
You have a circle....a chord AB is 20 inches long....the distance between the midpoint of AB and the nearest point on the circle is 5
whats the radius?
that doesnt really help
I need to find the rad... | 4 | [
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Vectors - Parametric Equations
April 15th 2010, 10:35 PM #1
Newbie
Joined
Apr 2010
Posts
14
Earth is described by the equation : x + y + z = 18
Mars is described by the equation: 4x + 3y - z = -3
Earth and Mars intersect each other
a/ find a parametric equation of the line in which earth int... | 4 | [
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Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 935089, 10 pages
http://dx.doi.org/10.1155/2013/935089
Research Article
Nonautonomous Differential Equations in Banach Space... | 4 | [
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Collaborative Policy of the Supply-Hub for Assemble-to-Order Systems with Delivery Uncertainty
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 625812, 10 pages
http://dx.doi.org/10.1155/2014/625812
Research Article
Collaborative Policy of the Supply-Hub for Assemble-to-Order Systems with Delive... | 5 | [
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Trigonometry
December 18th 2008, 03:58 PM
Kluringen
Trigonometry
Hello!
The problem is to find A=? B=? and C=?
(7*cos x +3*sin x)^2 = A*cos 2x+B*sin 2x + C
Can anyone help me with this problem? (Wondering)
Thanks
December 18th 2008, 04:12 PM
Skalkaz
Dear Kluringen,
you didn't say ab... | 4 | [
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Percent
The ideas in this lesson are taken from Math Mammoth Percent book.
Percent
The concepts and ideas of this lesson are also explained in this video:
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────┐
... | 4 | [
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Mixed Transportation Network Design under a Sustainable Development Perspective
The Scientific World Journal
Volume 2013 (2013), Article ID 549735, 8 pages
http://dx.doi.org/10.1155/2013/549735
Research Article
Mixed Transportation Network Design under a Sustainable Development Perspective
^1School of Traffic and Tr... | 4 | [
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Unsteady RANS and LES Simulation of an Ideal Rankine Vortex Decay
Advances in Civil Engineering
Volume 2012 (2012), Article ID 523839, 8 pages
http://dx.doi.org/10.1155/2012/523839
Research Article
Unsteady RANS and LES Simulation of an Ideal Rankine Vortex Decay
^1Civil Engineering Department, Khulna University of ... | 4 | [
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SteveH
DREI'99
Introduction to Domination Theory
S... | 4 | [
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Determine an equation for
September 14th 2013, 08:04 AM #1
Junior Member
Joined
Oct 2011
Posts
62
Thanks
2
Determine an equation for the graph of the polynomial function shown...
There's a graph that goes from x-axis: -2 to +2 and y-axis:+4 to -4.
There are three zero's marked at: -1, 0, +2
... | 4 | [
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B-tree
Chapter 18 - B-trees Document last modified:
Overview - Dealing with maps containing very large amounts of data
• Maps examined so far (direct-addressing at right, hashing, heaps, etc.) were all assumed to fit into memory
• Map too large to fit all in main memory when large number of keys and/or satellite... | 4 | [
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