content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
solve for x algebraically
solve x algebraically not graphically 3 cot (90 + x) = tan x sin x Thanx
$3\cot (90+x) = \tan x \sin x$ $3\frac{\cos (90 + x)}{\sin (90 + x)} = \frac{\sin x}{\cos x} \sin x$ $3\frac{-\sin x}{\cos x} = \frac{\sin^2 x}{\cos x}$ $3\frac{-\sin x}{ot{\cos x}} = \frac{\sin^2 x}
{ot{\cos x}}$ $-3\si... | 4 | [
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0.08691... | 39,900 | 39900 | |
Factorising quadratic expressions with a coefficient of >1
When you said that you can factor $x^2-7x+10$ I am assuming you tried to find two numbers which multiply to give you 10 (the constant term) and which add up to -7 (the coefficient of the middle
term). The numbers are -5 and -2 so the factors are (x-5)(x-2). The... | 4 | [
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0.0244140625,
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0.0966796875,
0.00921630859375,
0.0654... | 39,901 | 39901 | |
rigidity of representations of dehn fillings on the figure eight knot
up vote 12 down vote favorite
2
Consider a Dehn filling of the figure eight knot with coprime parameters (p,q) denoted by M. I am interested in the representation space of M in $SU_2$.
I wonder wether all such representations are infinitesimally is... | 4 | [
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Angle Bisector Theorem
Angle Bisector
An angle is formed by two different rays with the same initial point. The angle bisector is another ray sharing the same initial point.
Angle Bisector Definition
An angle bisector is a ray that divides an angles into two congruent angles.
In the adjoining diagram ray OC divide... | 4 | [
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i need help in primitive roots
December 11th 2007, 05:33 PM #1
Newbie
Joined
Dec 2007
Posts
12
i need help in primitive roots
i have 2 problem and need ur help
let r be a primitive root of the integer n . prove that r^k is a primitive root of n if and only if gcd(k,phi(n))=1
***********
f... | 5 | [
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Marginal distribution
October 8th 2013, 10:30 PM #1
Junior Member
Joined
Mar 2010
Posts
25
solved
Hey, I am doing a homework exercise and I think im getting the wrong answer. I have to work out a marginal distribution from a joint distribution. So I use the definition of marginal distribution
for the... | 5 | [
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... | 39,905 | 39905 | |
What about the fastest-growing non-computable function ?
up vote 2 down vote favorite
The Busy-Beaver trick provides a nice example of non-computable functions (let say from $\mathbb{N}$ to $\mathbb{N}$) which grows faster than any computable functions. But what can we say when we do
not restrict ourselves to computab... | 5 | [
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An identity for Hankel determinants
up vote 8 down vote favorite
Is the following result about Hankel determinants known or a simple consequence of some known results? Let
$f(x) = \frac{\displaystyle 1}{{\displaystyle 1 - \frac{{a x^{m + 2}}}{\displaystyle {1 - \frac{{b{x^{m + 2}}}}{\displaystyle {1 - {x^2}g(x)}}}}}}... | 4 | [
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Independent families of subsets of $\mathbb N$ of size continuum
up vote 8 down vote favorite
2
A family $\mathcal F$ of subsets of $\mathbb N$ is independent if for any two finite, disjoint subsets $\mathcal A,\mathcal B\subseteq\mathcal F$ the set $$\bigcap_{A\in\mathcal A}A\cap\bigcap_{B\in\
mathcal B}(\mathbb N\se... | 4 | [
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-0.0308... | 39,908 | 39908 | |
U-substitution check
April 30th 2009, 12:23 PM #1
Junior Member
Joined
Jan 2009
Posts
26
Problem:
$\int\frac{sin(x)}{cos(x)}*dx$ from 0 to $\pi/4$
Attempt:
$u = cos(x)$
$du = -sin(x) dx$
$dx = \frac{du}{-sin(x)}$
$\int\frac{sin(x)}{-sin(x)*u}*du$
$-\int\frac{du}{u}$
$-... | 5 | [
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Introduction to Calculus Tutorial
January 10th 2010, 02:34 PM
Jhevon
yes, this is true. you can't divide by zero. however, "proving" that the variable is not zero is unnecessary. firstly, multiplying and dividing by the same expression is a standard trick in math,
it is assumed the expression is not zero when... | 5 | [
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How to bound the sup norm of a Rademacher process or equivalently a Gaussian process?
up vote 3 down vote favorite
I want to know how to find an upper bound of the following expectation taken for both $t$ and $y$ as
$$\mathbb{E}\sup_{x \in D} \left|\sum_{k=1}^n t_k x^T y_k\right|,$$ where $D$ is the set of vectors de... | 5 | [
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Tips on Solving Probability Problems
Date: 08/27/99 at 03:21:03
From: Karen Tsang
Subject: Probability distribution
Dear Dr. Math,
I have some questions about probability distribution. Below are the
questions I want to ask:
Question 1:
A juice company produces bottles of apple juice. The nominal volume in
a bottle... | 5 | [
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Conduche functor
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Contents
Idea
A Conduché functor, or exponentiable functor, is a functor which is an exponentiable morphism in Cat. (In accordance with Baez's law, the notion was actually defined by Giraud before Conduch... | 4 | [
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0.012329... | 39,913 | 39913 | |
Parallelepipeds
Date: 05/06/97 at 01:27:54
From: Amanda
Subject: Trapezoid formula
What is the formula for finding the lateral area and the total surface
area of a trapezoid?
Date: 05/06/97 at 08:03:57
From: Doctor Jerry
Subject: Re: Trapezoid formula
Hi Amanda,
I'm not certain what you mean by a trapezoid. A t... | 4 | [
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0.0791015625... | 39,914 | 39914 | |
1st order Differential Equation -exact
March 29th 2009, 12:02 AM #1
Newbie
Joined
Mar 2009
Posts
24
1st order Differential Equation -exact
Hi,
I would like to know how do I show that:
y-(e^x) cos y + [x+(e^x) sin y]y' = 0 is an exact differential equation.
Thanks in advance.
Read this: ... | 4 | [
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A differential equation
April 13th 2009, 10:30 PM
NonCommAlg
A differential equation
I won't be posting new problems for a couple of weeks. This one is nice:
Suppose $n \geq 1$ and $f: (a,b) \longrightarrow \mathbb{R}$ is a $C^n$ function (see here for the definition) and $f(x)f'(x)f''(x) \cdots f^{(n)}(x)... | 5 | [
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... | 39,916 | 39916 | |
Simplifying Trigonometric Equations
Date: 06/02/98 at 10:13:08
From: Chris Keenan
Subject: Trigonometric equations
I am a student at Portsmouth high school in NH and our math teacher
asked us to answer the following problems with help from the Internet.
We found you, so here goes. (He didn't want us to try it oursel... | 5 | [
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-0.0576171... | 39,917 | 39917 | |
Expanding Expressions Qustions
May 11th 2011, 10:45 AM #1
Junior Member
Joined
May 2011
Posts
37
Hi guys not sure how to approach these questions would appreciate being pointed in the right direction
Question:
Expand the following expressions, collecting together like terms where possible;
... | 4 | [
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0.1025390625,
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0.03686523... | 39,918 | 39918 | |
Directional derivative
November 9th 2009, 06:10 PM
Ares_D1
Directional derivative
Having a little trouble with this problem. I keep getting zero as an answer which is incorrect. I know where I'm making the mistake, just don't know how to fix it.
Problem:
Compute the directional derivative for $f(x,y,z) ... | 5 | [
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-0.0634765625,
-0.0... | 39,919 | 39919 | |
Algebra question?
October 30th 2012, 10:40 AM #1
Newbie
Joined
Sep 2012
From
Quebec
Posts
22
Algebra question?
Hello,
In attachment I show an algebraic equation which needs to solve for "v". V is supposed to have a result of 4.09, but I get 35??
Can someone please show me where I went wrong... | 4 | [
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Solving recursive sequences
May 20th 2010, 12:39 PM
Open that Hampster!
Solving recursive sequences
So I'm reviewing for an exam, and all the review question put up by the professor is as follows:
Solve.
$r_k = 2*r_{k-1} - r_{k-2}; r_0 = 1, r_1 = 4$
We didn't really cover this in class, and the ex... | 5 | [
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-0.0830... | 39,921 | 39921 | |
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Topic: pdepe variable initial and boundary conditions
Rep... | 4 | [
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0.00994873046875,
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Find the Number
Date: 05/14/97 at 16:04:13
From: Erin Warner
Subject: Number Word Problems (algebraic phrases and equality)
Five times a certain number is six less than three times the same
number. What is the number?
Date: 05/20/97 at 10:28:33
From: Doctor Edwards
Subject: Re: Number Word Problems (algebraic phr... | 4 | [
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-0.0595703125,... | 39,923 | 39923 | |
trigo identities
July 16th 2007, 04:21 AM
colloquial
trigo identities
solve the eqns for 0<=x<=180
1. sin3x+sinx=0
(i don't get my friend's working):
2 sin2xcosx=0
2(2sinxcosx)(cosx)=0
(4sinxcosx)(cosx)=0
4 sinx=0
sinx=0
x= 0, 180
what I don't get is how the (4 sin x cos x) ... | 4 | [
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-0.05444335... | 39,924 | 39924 | |
Order statistic
I am a Statistician / psychologist who can help you with your statistics and statistical design in spss, amos, statistica, Econometrics, minitab, stata, r, gpower (in psychometrics, psychology,
sociology, marketing, statistics, or psychometrics) as well with the whole project (master, bachelor, disserta... | 5 | [
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0.041259765625,
-0.033935... | 39,925 | 39925 | |
Double Integration - Polar Co-ordinates
May 8th 2011, 06:13 AM
keelejody
Double Integration - Polar Co-ordinates
\iint(lower case B) e^-2((x^2)+(y^2)) dydx
where B is the quarter of the circle of radius 1 in the upper right-hand quadrant
-----------------------------------------------------------------... | 5 | [
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Deform projective Kahler to projective Kahler
up vote 3 down vote favorite
2
Let $X$ be a compact Kahler manifold with first Chern class $c_1(X)>0$ (i.e. positive). Consider a family $\pi\colon \mathcal{X} \to \mathcal{D}$ over the unit disc $\mathcal{D}$, with $X_0=X$. Do we
know that $c_1(X_t)>0$ for $t \neq 0$?
Ea... | 5 | [
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0.04541015625,
0.027099609375,
0.010986328125,
-0.04736328125,
-0.0634765625,
0.138671875,
-0.05712890625,
-0.035400390625,
0.01953125,
0.05224609375,
0.01324462890625,
-0.030029296875,
-0.016845... | 39,927 | 39927 | |
Multipul questions
March 3rd 2008, 12:17 PM
salerk
Multipul questions
To start, If possable I dont want any answers just methoulds or keywords to google in order to gain the nessary information to solve the problems.
Thing is our math/physics tutor got in a car accident a few months ago so his classes where... | 4 | [
-0.0174560546875,
-0.01708984375,
0.00860595703125,
-0.0247802734375,
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-0.02783203125,
0.0206298828125,
0.0269775390625,
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-0.020751953125,
0.06005859375,
-0.00008440017700195312,
0.0986328125,
-0.052490234... | 39,928 | 39928 | |
Graphing Linear Relations and Functions
Top
Sub A Set of Ordered Pair is known as relation.
Topics Suppose we have (2, 5), (-3, 4), (12, -5), (5, 7), (0, 5), (6, 9), (1, 6);
The value lies on x – axis and it is known as Domain of given set and the value of y – axis is known as range of a set.
... | 4 | [
-0.027099609375,
-0.0184326171875,
-0.047607421875,
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0.00921630859375,
0.051513671875,
0.0106201171875,
-0.02880859375... | 39,929 | 39929 | |
Tamagawa numbers of abelian varieties and torsion.
up vote 4 down vote favorite
Let $A$ be an abelian variety defined over a number field $K$. Fix a prime $v \subset \mathcal{O}_K$, with underlying rational prime $p$. What relationship, known or conjectural (if any), should
there be between the local Tamagawa number $... | 4 | [
-0.053466796875,
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... | 39,930 | 39930 | |
Algebra2 homework urgent please help.
what is the least positive integer k for which 12 k is the cube of an integer?
Last edited by Schatzle06; April 22nd 2007 at 02:53 PM. Reason: was typed wrong
Last edited by Jhevon; April 22nd 2007 at 03:22 PM. Reason: made an error in calculating k
Hello, Schatzle06! What is th... | 4 | [
0.06689453125,
0.12109375,
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-0.052734375,
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need help with an easy limit
December 17th 2009, 02:14 AM #1
Newbie
Joined
Dec 2009
Posts
3
need help with an easy limit
lim x->1 (x^3 - 3x +2)/(x^4 - 4x + 3) = ?
I tried with L'Hospital's rule but it seems it doesn't work (it still gives me 0/0... Maybe I didn't apply it well?). Any suggestions?
... | 5 | [
-0.00634765625,
-0.0252685546875,
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0.0556640625,
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0.0419921875,
0.039306640625,
-0.... | 39,932 | 39932 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Why study Egyptian fraction math?
Replies: 20 Last... | 5 | [
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0.06884765625,
0.016845703125,
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0.036376953... | 39,933 | 39933 | |
Pumpkin Problem
November 17th 2012, 11:23 AM #1
Newbie
Joined
Oct 2012
From
Union City
Posts
8
Pumpkin Problem
Hello, I need help with the following problem:
The cost of 2 large pumpkins plus 1 medium-sized pumpkin is the same as the cost of 8 small pumpkins. One large pumpkin costs the same as ... | 4 | [
0.01806640625,
0.06787109375,
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0.0296630859375,
0.00659179687... | 39,934 | 39934 | |
trigonometry (3)
October 7th 2009, 12:37 AM
thereddevils
trigonometry (3)
If $0<A<\frac{\pi}{2}$ , and $0<B<\frac{\pi}{2}$ , prove that
(1) $<br /> \frac{1}{\cos^2 A}+\frac{1}{\sin^2 A\sin^2 B\cos^2 B}\geq 9 <br />$
(2) Prove that $sin^2 A + sin^2 B > sin A + sin B + sin Asin B -1$
October 7th 2009, 0... | 5 | [
-0.07861328125,
0.06298828125,
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0.048095703125,
0.072265625,
-0.02502... | 39,935 | 39935 | |
fun with "necessarily" abelian
October 25th 2010, 02:35 PM #1
Junior Member
Joined
Sep 2010
Posts
63
fun with "necessarily" abelian
I have this problem:
Suppose that $X$ is a group with $x^2=1$ for all $x \in X$. Show that $X$ is necessarily abelian.
Prove that if $X$ is finite, then $|X|=2^n$ ... | 5 | [
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rolling two die and cardinality
September 1st 2010, 12:35 PM #1
When rolling two fair 6-sided dice, it is well known that one can list the sample space of this experiment by using direct products. Answer the following questions:
Q1: What is the cardinality of the set of all possible sums in this experiment?
... | 4 | [
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Picard-Fuchs equations
up vote 6 down vote favorite
5
If I have the periods $$\pi_1(\lambda)=\int_0^1\frac{dx}{\sqrt{x(x-1)(x-\lambda)}}$$ and $\pi_2(\lambda)$ similarly defined of the cubic curve $$y^2z=z(x-z)(x-\lambda z)$$ Such functions will be
holomorphic on $\lambda \in \mathbb{C}-\{0,1\}$. Then the sum $\pi(\la... | 4 | [
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Introducing Stable Modulation Technique for Solving an Inhomogeneous Bernoulli Differential Equation
September 5, 2008 by rohedi
The Bernoulli differential equation that has been used as primary modeling in many application branches commonly contains harmonic force function in the inhomogeneous term. The nhomogeneous... | 4 | [
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0.09765625,
-0.05029296875,
0.0... | 39,939 | 39939 | |
Can I finitely color Z^2 such that (x,a) and (a,y) are different for every x,y,a?
up vote 6 down vote favorite
1
I ran into this obstacle in a harmonic analysis problem; I know epsilon about coloring problems.
Is it possible to finitely color Z^2 so that the points (x,a) and (a,y) are differently colored for every x,... | 5 | [
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0.0185546875,
0.0200195312... | 39,940 | 39940 | |
Extrapolation
April 9th 2013, 09:58 AM
StevenDR
Extrapolation
Hello,
Lets say i'm measuring the probability of something happening at different stages.
For x = 1 I know the probability +- 0% (exact)
For x = 2 x = 3 and x = 4 I know the probability +- 8%
How well would i be able to say what the... | 5 | [
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0.0211181640625,
-0.0267333984375... | 39,941 | 39941 | |
Sine - PDF
From Wikipedia, the free encyclopedia
Trigonometric functions
Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides ... | 4 | [
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Speaker sensitivity - diyAudio
Speaker Array Sensitivity
While ultimately the SPL of the speaker array would best be measured, in the development process you can compute the system sensitivity (or efficiency) impact of an array. First, assume that an
individual driver in the line has a known SPL value. Next assume tha... | 5 | [
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0.039... | 39,943 | 39943 | |
when supermartingale is a martingale
June 16th 2012, 09:43 AM
waytogo
when supermartingale is a martingale
Hello, guys!
Can anybody give a hint on how to prove that (on continuous time setting with t in [0,T]) if M is a supermartingale such that E[M(T)] = M(0), then M is in fact a martingale.
Would appr... | 4 | [
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... | 39,944 | 39944 | |
Epsilon Delta Proof
October 4th 2011, 09:48 PM #1
Newbie
Joined
Oct 2011
Posts
2
Epsilon Delta Proof
Hi everyone.
I've encountered an epsilon-delta proof problem. I think I'm kinda stuck here. Can someone please help?
Prove:
(x-->1)lim x^3 = 1
I have already factor x^3 into abs(x-1)*ab... | 5 | [
-0.0029449462890625,
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0.00885009765625,
0.0390625,
0.028564453125,
-0.00... | 39,945 | 39945 | |
eek
January 22, 2010
This Week's Finds in Mathematical Physics (Week 291)
John Baez
This week I want to ask for references - references on a cool relationship between Julia sets and the Mandelbrot set. Then, we'll delve further into electrical circuits and analogous systems. No more
rational homotopy theory, I'm afr... | 4 | [
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-0.0031585693359375,
0.... | 39,946 | 39946 | |
Vector Geometry
March 29th 2008, 02:36 AM #1
Member
Joined
Mar 2008
Posts
91
Vector Geometry
I haven't done any vector geometry in close to 2 years now and I got this question for one of my exercises and I've completely forgotten what to do.
Question: Show that the points A(1, 0, 1), B(2,−1, 3), C(5... | 4 | [
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-0.078... | 39,947 | 39947 | |
Exponential turning point q
November 9th 2010, 09:58 AM #1
Junior Member
Joined
Dec 2009
Posts
61
Exponential turning point q
Find the co ordinates of the turning point of the curve
$y = e^2^x - 3e^x$
and determine whether this point is a local max or local min.
I've differentiated this and ... | 4 | [
0.0546875,
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-0.0116577... | 39,948 | 39948 | |
How do you calculate the area under hyperbola?is this correct? what do I do next?
January 7th 2010, 09:34 AM
Aerospank
How do you calculate the area under hyperbola?is this correct? what do I do next?
Attachment 14707
I found $y = \sqrt{\frac{b^2x^2}{a^2} - b^2}$
then Area = $b \int \sqrt{\frac{x^2}{a^... | 5 | [
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0.0103759765... | 39,949 | 39949 | |
Polarization Identity
May 20th 2010, 12:42 PM #1
Newbie
Joined
May 2010
Posts
8
Polarization Identity
I'm trying to derive the $L^2(\mathbb{R} )$ inner product using the polarization identity but I'm getting stuck. This is how far I get
$4(f,g) = \Vert f+g\Vert ^2 - \Vert f-g\Vert ^2 <br /> = \int \... | 4 | [
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-0.0166015625,
-0.00236511... | 39,950 | 39950 | |
Math Forum Discussions
Emrah
Posts: 8
Registered: 12/30/12
Re: how to plot a function subject to constraints.
Posted: Jan 7, 2013 9:33 AM
TideMan <mulgor@gmail.com> wrote in message <adfc55ca-51c8-4d03-a871-3829fd523c7d@googlegroups.com>...
> On Monday, January 7, 2013 9:25:09 AM UTC+13, Emrah wrote:
> > isn't there ... | 4 | [
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... | 39,951 | 39951 | |
Tangents and Slopes
The definition of the tangent
Sine and cosine are not the only trigonometric functions used in trigonometry. Many others have been used throughout the ages, things like haversines and spreads. The most useful of these is the
tangent. In terms of the unit circle diagram, the tangent is the length ... | 4 | [
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0.051025390625... | 39,952 | 39952 | |
A Breakthrough On Matrix Product
November 29, 2011
Beating Coppersmith-Winograd
Virginia Vassilevska Williams is a theoretical computer scientist who has worked on a number of problems, including a very neat question about cheating in the setup of tournaments, and a bunch of
novel papers exemplified by this one on ... | 4 | [
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0.0... | 39,953 | 39953 | |
Absolute Zero
Date: 05/11/2001 at 16:07:47
From: Robert Smith
Subject: Absolute zero
My question is, why is absolute zero used in some calculations, e.g.
temperature + 460?
Thanks,
Rob
Date: 05/14/2001 at 17:36:54
From: Doctor TWE
Subject: Re: Absolute zero
Hi Rob - thanks for writing to Dr. Math.
Suppose you h... | 4 | [
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Solving for Number of Periods (Help with Log)
August 4th 2011, 11:21 AM #1
Member
Joined
Jan 2009
From
Punjab, Pakistan
Posts
88
Solving for Number of Periods (Help with Log)
I am doing something wrong as when i take the log of both sides of the equation then the answer I am expecting is not correct
... | 5 | [
-0.020263671875,
0.02490234375,
0.027587890625,
0.042236328125,
0.00823974609375,
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0.0966796875,
0.00836181640625,
0.10546875,
0.078125,
0.056640625,
-0.0166015625,
-0.000652313232421875,
0.057861328125,
0.1103515625,
-0.002532958984375,
-0.154296875,
-0.00506591796875... | 39,955 | 39955 | |
Empirical Orthogonal Function (EOF) Analysis for gappy data
[
Update
]: The following approach has serious shortcomings, which I have recently become aware of. In a comparison of gappy EOF approaches Taylor et al. (2013) [
pdf
] show that this traditional approach is not as accurate as others. Specifically, the app... | 4 | [
-0.0791015625,
0.003997802734375,
0.09228515625,
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0.03955078125,
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0.01171875,
0.027099609375,
0.0159912109375,
-0.06396484375,
-0.0498046875,
-0.044189453125,
0.017822265625,
-0.0223388671875,
-0.0830078125,
0.0045471... | 39,956 | 39956 | |
first order ordinary differential equation
How many solutions does the differential equation $\frac{dy}{dx}=60(y^2)^{1/5}; \quad x>0, y(0)=0$ have?
First, $(y^2)^{1/5}$ is a very strange way to write $y^{2/5}$. Is that what you meant? If it is, then this is a separable equation that is easily solvable: $\dfrac{dy}{y^{... | 5 | [
0.000362396240234375,
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0.058349609375,
0.07666015625,
0.00897216796875,
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0.03515625,
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0.04638671875,
-0.0201416015625,
0.111328125,
0.0225830078125,
0.09765625,
-0.09033203125,
-0.06640625,... | 39,957 | 39957 | |
linearization problem...
October 11th 2007, 07:10 PM #1
Banned
Joined
Oct 2007
Posts
45
linearization problem...
What is the local linearization of e^x^2 near x = 1?
can someone please help me go about this problem...
mathaction
Last edited by mathaction; October 11th 2007 at 07:14 PM. Rea... | 4 | [
0.0556640625,
0.02880859375,
0.087890625,
0.02880859375,
0.0024566650390625,
0.02880859375,
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0.040771484375,
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-0.059814453125,
-0.03442382812... | 39,958 | 39958 | |
quadrilateral question
January 19th 2011, 09:46 PM #1
Senior Member
Joined
Feb 2010
Posts
456
Thanks
34
quadrilateral question
number of quadrilaterals that can be made by using the vertices of a polygon of 10 sides as their vertices and having exactly two sides a common with polygon
i have got ... | 4 | [
-0.06640625,
0.012939453125,
0.01434326171875,
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0.07958984375,
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0.00811767578125,
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0.000965118408203125,
0.0380859375,
0.043212890625,
0.0289306640625,
0.037353515625,
-0.00131988525390625,
0.032958984375,
-0.03369140625,
0.060... | 39,959 | 39959 | |
Percentage Increase in Cost of Eggs
Associated Topics || Dr. Math Home || Search Dr. Math
Percentage Increase in Cost of Eggs
... | 4 | [
0.06689453125,
0.0732421875,
0.06298828125,
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0.0625,
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0.04150390625,
-0.071... | 39,960 | 39960 | |
Radioactive Decay Problem?
August 23rd 2010, 03:20 PM #1
Newbie
Joined
Aug 2010
Posts
13
Radioactive Decay Problem?
The problem I am having with this is that I learned how to solve this type of problem a long time ago and when I was taught it they used another type of formula with different letters so I ... | 5 | [
-0.1357421875,
0.01611328125,
0.03173828125,
0.0296630859375,
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0.00982666015625,
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0.050048828125,
0.00433349609375,
0.011962890625,
-0.005615234375,
-0.025390625,
... | 39,961 | 39961 | |
inverse of a function
Im trying to find the inverse of the function with working, see attached image
$f(x) = \frac{2 - 3x}{4x + 5}$ Say $f(x) = y$ $y = \frac{2 - 3x}{4x + 5}$ Thus : $y(4x + 5) = 2 - 3x$ Expand : $4xy + 5y = 2 - 3x$ Rearrange terms : $4xy + 3x = 2 - 5y$ Factorize $x$ : $x(4y + 3) = 2
- 5y$ Make x the s... | 4 | [
-0.0322265625,
-0.06591796875,
0.041259765625,
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0.00836181640625,
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-0.0267333984375,
0.000885009765625,
0.08935546875,
0.07861328125,
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0.01092529296875,
0.033935546875,
-0.0025787353515625,
0.115234375,
-0.0112915039062... | 39,962 | 39962 | |
conditional probability
April 19th 2008, 12:11 PM #1
Newbie
Joined
Apr 2008
Posts
12
conditional probability
Suppose that the heights of a parent and child, P and C in cm are jointly Gaussian
with
mP = 170cm, standard deviation of P = 8cm
mC = 170cm, standard deviation of C = 8cm
correlat... | 5 | [
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0.0185546875,
0.0308837890625,
0.057373046875,
0.0556640625,
-0.06... | 39,963 | 39963 | |
Cylindrical Tank Draining
October 29th 2007, 10:00 PM
BoombaWoomba
Cylindrical Tank Draining
Hi! I'm new here, and studying for a test. I was wondering if someone can help me out.
3.) When the valve at the bottom of a cylindrical tank is opened, the rate at which the level of liquid in the tank drops is pro... | 5 | [
-0.0869140625,
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0.1376953125,
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0.01544189453125,
-0.051025390625,
0.0072... | 39,964 | 39964 | |
Kepler's laws of planetary motion
In astronomy, Kepler's Laws of Planetary Motion are three mathematical laws that describe the motion of planets in the Solar System. German mathematician and astronomer Johannes Kepler ( 1571– 1630)
discovered them.
Kepler studied the observations of the legendarily precise Danish as... | 4 | [
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0.069335... | 39,965 | 39965 | |
Applications (and source) of Bourbaki exercise on root systems with two root lengths?
up vote 5 down vote favorite
1
In Chapters 4-6 of Bourbaki's Groupes et algebres de Lie, Exercise 20 for Section VI.1 concerns irreducible (reduced) root systems with roots of two lengths: in other words, systems of types $B_\ell,
C... | 4 | [
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0.05078125,
-0... | 39,966 | 39966 | |
question on order of element
October 8th 2009, 12:40 AM #1
Super Member
Joined
Apr 2009
Posts
677
question on order of element
$G$ be a group. [tex]a,b /in G[\math]
Order of $a = m$
Order of $b = n$
Prove there exists an element in $G$ with order = LCM $(m,n)$. Let this LCM be $l$
My ap... | 5 | [
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0.025634765625,
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0.06396484375,
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0.01544189453125,
0.072265625,
0.06396484375,
-0.048828125,
0.0274658203125,
0.1640625,
0.02099609375,
-0.00... | 39,967 | 39967 | |
A 2-category of chain complexes, chain maps, and chain homotopies?
up vote 7 down vote favorite
1
First-time here... I hope my question isn't silly or anything... anyway...
Consider the category of chain complexes and chain maps. We can also define chain homotopies between chain maps. Does this form a 2-category? I a... | 4 | [
-0.0537109375,
0.01123046875,
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0.0233154296875,
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-0.06689453125,
0.051025390625,
0.0159912109375,
-0.01287841796875,
0.... | 39,968 | 39968 | |
Math Forum Discussions
Re: Nx2N lapped orthogonal transform
Posted: Aug 20, 2013 6:24 AM
Am 19.08.2013 06:34, schrieb James Dow Allen:
> Let
> ( A B 0 )
> ( 0 A B )
> ( B 0 A )
> be a 3Nx3N real matrix with A,B,0 each NxN and 0 an all-zeros matrix.
>
> What is the necessary and sufficient condition for that matrix to ... | 4 | [
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0.0196533203125,
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0.0419921875,
-0.0206298828125,
0.04833984... | 39,969 | 39969 | |
Help with integration
September 1st 2006, 06:31 AM #1
Newbie
Joined
Dec 2005
From
Kolkata, India
Posts
19
Help with integration
Help me with these integrations please
$<br /> 1.\int\sqrt{log{x}}dx<br />$
$<br /> 2.\int\frac{dx}{\sqrt{3+2cos{x}}}<br />$
$<br /> 3.\int\log{tan(x)}dx<br />$... | 5 | [
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0.1103515625,
0.04931640625,
0.03466796875,
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0.0106201171875,
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0.0208740234375,
0.051025390625,
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-0.0123291015625,
0.018310546875,
-0.00555419921875,
-0.010681152343... | 39,970 | 39970 | |
100 Factorial in Base 6: How Many Zeros?
Date: 10/24/2001 at 15:27:22
From: Krista
Subject: Factorial in base 6
How many zeros are at the end of 100! in base 6? I have tried to
figure it out by writing out the entire list of base 6 numbers up to
100. I come up with 7 just using the numbers with zeroes in the end,
bu... | 4 | [
0.0174560546875,
-0.0120849609375,
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0.05859375,
0.0634765625,
0.03125,
0.1376953125,
-0.0634765625,
0.060791015625,
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-0.038330078125,
0.0294189453125,
0.0179443359375,
-0.00994873046875,
0.035888671875,
-0.07861328125,
0.0266113281... | 39,971 | 39971 | |
Math Forum Discussions
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Topic: Queries about Species
Replies: 3 Last Post: Jan 8,... | 4 | [
0.007720947265625,
-0.0400390625,
0.0206298828125,
0.044921875,
-0.0301513671875,
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0.0301513671875,
-0.05517578125,
-0.02001953125,
-0.0093994140625,
-0.0961... | 39,972 | 39972 | |
Conic Sections
March 6th 2007, 05:32 PM #1
Junior Member
Joined
Feb 2007
Posts
33
Conic Sections
Hey..I don't understand conic sections at all...
1.
Find a polynomial equation with integer coeffiecients for the set of coplanar points desscribed. Tell whether or not the graph is a conic section a... | 4 | [
0.0211181640625,
0.00616455078125,
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0.0233154296875,
0.01519775390625,
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0.01092529296875,
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0.072265625,
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0.0029144287109375,
-0.008056640625,
0.02587890625,
0.040771484375,
-0.02685546875,
-0... | 39,973 | 39973 | |
dy
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123goldie Group Title
How do you complete ... | 4 | [
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0.02734375,
0.02880859375,
0.02392578125,
-0.037353515625,
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0.0045166015625,
-0.039306640625,
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0.040771484375,
-0.00558471679687... | 39,974 | 39974 | |
Lagrange's Theorem & orders
March 11th 2010, 06:51 PM #1
Junior Member
Joined
Jan 2010
Posts
41
Lagrange's Theorem & orders
My question is: If |G|=15, show that G must have an element of order 3.
We're currently learning about Lagrange's Theorem, so I know that I need to use it somehow, and I can't ... | 4 | [
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-0.0233154296875,
0.00006389617919921875,
0.00714111328125,
0.03857421875,
0.0... | 39,975 | 39975 | |
Comparing Earthquakes, Explained
How can one compare the magnitude-9.0 earthquake in Japan with the magnitude-6.3 quake that struck New Zealand?
News stories about the disaster in Japan bandy around two sorts of figures when comparing earthquakes: magnitude and energy. It's not hard to keep them straight and not much ... | 4 | [
0.0634765625,
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0.04931640625,
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0.064453125,
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0.125,
0.08203125,
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0.011962890625,
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-0.01226806640625,
0.0087890625,
-... | 39,976 | 39976 | |
Fermat Numbers Problems
May 14th 2010, 09:25 AM
1337h4x
Fermat Numbers Problems
Hello all, I'm trying to learn more about Fermat Numbers. My textbook claims that:
Fermat Numbers are defined by F[m]= (2^(2^m)) + 1. It says that it can be problem that for m!=n that (F[m],F[n])=1 , where [ ] denotes subscripts... | 5 | [
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0.0281982421875,
-0.06591796875,
-... | 39,977 | 39977 | |
Exponent Rules
September 10th 2006, 09:23 AM
notaveragejoe
Exponent Rules
http://i22.photobucket.com/albums/b3...ponentrule.jpg
I know that it would be x^5 over y^4, 2^4 over x^4, and y^3 over 4^3
Now can I just group like terms. x^9 y^8, and change 4^3 to 2^2^3 for same bases. Thanks for your help!!!!!... | 4 | [
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0.0234375,
0.1357421875,
-0.1376953125,
0.101074218... | 39,978 | 39978 | |
Percentage changes in two numbers multiplied together
April 4th 2014, 11:38 AM #1
Junior Member
Joined
Sep 2013
From
Ohio
Posts
45
Percentage changes in two numbers multiplied together
Hi! Does anyone know thy the percentage change in of two numbers multiplied together is roughly equal to the percent... | 5 | [
0.008056640625,
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0.0107421875,
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0.14746... | 39,979 | 39979 | |
Do-It-Yourself (DIY) Investor
DIY Investor previously discussed
the concept of present value
. Present value puts a monetary value on income to be received in the future. As a simple example, $200 to be received 5 years from now would have a present value of $149.45, if the discount rate
(i.e. yield) is 6%. This is ... | 4 | [
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0.01202392578125,
-0.03... | 39,980 | 39980 | |
Derivative of the function
March 21st 2007, 03:06 PM #1
Junior Member
Joined
Nov 2006
Posts
62
Derivative of the function
I am having some trouble with this type of problem, here is the work, would someone look it over and let me know where I went wrong.
Here is the problem:
g(x) = (1x^2-1x+3)e^... | 4 | [
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0.003173828125,
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0.005126953125,
0.0517... | 39,981 | 39981 | |
intergration by substitution
December 8th 2009, 10:03 PM
Geordie-boy
intergration by substitution
Hi all im trying to get my head around intergration by substitution and this one problem in particular has been giving me a problems any help?
substitute x = sine z into [int(x+x^2)/(1-x^2)^1/2 dx]
December 8t... | 5 | [
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0.01434326171875,
... | 39,982 | 39982 | |
Proof - space of continuous functions with sup norm metric is complete
May 21st 2009, 04:52 AM #1
Junior Member
Joined
Jun 2008
Posts
38
Thanks
1
Proof - space of continuous functions with sup norm metric is complete
Can someone point me to a detailed proof of this, or give it?
The stuff I can f... | 5 | [
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0.0869140625,
-0.03686523... | 39,983 | 39983 | |
Antichains and measure-preserving actions on Boolean algebras
up vote 5 down vote favorite
Let $G$ be a group of automorphisms of the countable atomless Boolean algebra $B$. Suppose that every orbit of $G$ on $B$ is an antichain. Does it follow that $G$ preserves a non-zero (probability)
measure on $B$?
Does the answ... | 5 | [
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-0.0... | 39,984 | 39984 | |
Math Help
First $\Theta(g)=\Theta(n)$ represents the set of functions $w(n)$ such that there exists positive constants $c_1,\;c_2$ and $n_0$ such that $0\le c_1 n\le w(n) \le c_2 n,\;\forall n\ge n_0$. So in
order to show that $f\in \Theta(n)$, we need to find out positive constants $c_1,\;c_2$ and $n_0$ such that $c_... | 5 | [
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-0.049072265625,
0.03369140625,
-0.0036773681... | 39,985 | 39985 | |
Linear Recurrance Relations
Date: 08/10/2004 at 16:04:03
From: Kevin
Subject: Turning Recursive/Iterative(?) Equations into Functions
There are some things that are described by running a value through
the same equation repeatedly. I think this is called both "iteration"
and "recursion." Is there a general way to t... | 5 | [
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0.05322265625,
-0.083984375,
-0.038574... | 39,986 | 39986 | |
Inequality involving probability measures
up vote 5 down vote favorite
1
I have been working on a problem(alternate minimization) where I want to establish an inequality in which I am stuck.
An $\alpha$- parameterized version of the divergence(Kullback-Leibler) takes the following form:
$$I_{\alpha}(P,Q)=\frac{1}{\r... | 4 | [
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-0.007537841... | 39,987 | 39987 | |
n = 13*(sum of digits)
September 21st 2007, 04:21 AM #1
n = 13*(sum of digits)
The number of positive integers which are 13 times the sum of their digits is
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
This is some competition problem, AMC(2000). I know I should start by writing out the decimal expansi... | 5 | [
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-0.021240234375,
0.038818359375,... | 39,988 | 39988 | |
The temple of ancient primes
May 25th 2007, 05:41 AM #1
shosho
Guest
The temple of ancient primes
the underground temple of the lost civilisation of the ancient primes was recently discovered deep in a south american jungle. the jeys to the temple were discovered long ago. There are 25 of
them, each one numbe... | 5 | [
0.0245361328125,
0.0189208984375,
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-0.053466796875,
-0.06640625,
-0.0563964843... | 39,989 | 39989 | |
Finding Unit Normal Vector
February 4th 2009, 11:40 AM #1
Newbie
Joined
Feb 2009
Posts
2
Finding Unit Normal Vector
Alright, so here's a question from my online Calc 3 assignment. I know the formula for N(t), it is T'(t)/|T'(t)|. However I am still very stuck and confused as to how to find N. I can find ... | 5 | [
-0.0277099609375,
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0.00787353515625,
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0.00159454345703125,
-0.0145263671875,
-0.0322265625,
0.034912109375,
-0.... | 39,990 | 39990 | |
implicit diff. question
December 6th 2009, 09:37 AM
Archduke01
implicit diff. question
$(x+y)^3 = x^3 + y^3$ at the point (-1,1). We need to find y' ... what do?
Here's what I did, please tell me where I went wrong.
3(x+y)^2 (1+y') = 3x^2 + 3y^2 y'
How do I proceed?
December 6th 2009, 09:53 AM
A... | 4 | [
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-0.0036163330078125,
-0.1181640625,
-0.... | 39,991 | 39991 | |
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pokemon23 Group Title
Can someone tutor me... | 4 | [
-0.0234375,
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-0.034912109375,
-0.... | 39,992 | 39992 | |
Differences of near diagonal Ramsey numbers.
up vote 13 down vote favorite
4
I am a graduate student trying to get involved in Ramsey theory. My question comes from:
Erdős on graphs: his legacy of unsolved problems By Fan R. K. Chung, Paul Erdős, Ronald L. Graham
p.14 of this book is available as a google ebook.
T... | 5 | [
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0.05810546875,
-0... | 39,993 | 39993 | |
Proof regarding functions
January 13th 2009, 08:14 PM #1
Member
Joined
Apr 2008
Posts
123
Proof regarding functions
Prove by induction that if set A has n elements and set B has m elements, then there are $m^n$ many functions from A to B.
I see how this is intuitive, but can't figure out how to writ... | 4 | [
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0.1318359375,
0.022216796875... | 39,994 | 39994 | |
Solving for x when x's cancel out?
February 11th 2008, 10:58 AM #1
Newbie
Joined
Feb 2008
Posts
6
Solving for x when x's cancel out?
Hi there, I'm sure the answer to this is incredibly obvious, but something is slipping my mind:
│x-3│= x + 2
if you move the x out of the absolute value braket, t... | 4 | [
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0.01300048828125,
0.02136230... | 39,995 | 39995 | |
Partial derivative problem
May 12th 2010, 08:42 PM #1
I have repeated this one several times, and keep getting the same answer. But it's marked wrong, can't find my error:
$w = xe^{\frac{y}{z}}$
$x = t^4$
$y = 6 - t$
$z = 1 + 5t$
$\frac{dw}{dt} = e^{\frac{y}{z}}(4t^3) + xe^{\frac{y}{z}}(\fra... | 4 | [
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-0.049072265625,
0.08447265625,
-0.0703125,
-0.0219726... | 39,996 | 39996 | |
Subgroup/Coset problem
July 6th 2014, 03:38 AM #1
Newbie
Joined
Jul 2014
From
NYS
Posts
4
Subgroup/Coset problem
Herstein ask us to find a group G, H<G and g in G such that gHg* is in H but gHg*/=H.
I can't imagine that this is true (of course if Herstein says it is true then he is correct) becau... | 5 | [
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0.017089843... | 39,997 | 39997 | |
how long is this cable? arc length question
November 12th 2009, 04:45 PM
superdude
how long is this cable? arc length question
question:A telephone cable susbended between two poles 20 meters appart hangs in a curve with equation: $y=10(e^{\frac{x}{20}}+e^{\frac{-x}{20}})$ where -10<=x<=10
how long is the c... | 4 | [
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... | 39,998 | 39998 | |
Advanced Numerical solution of differential equations
March 18th 2014, 06:16 PM #1
Junior Member
Joined
Mar 2014
From
uk
Posts
50
Advanced Numerical solution of differential equations
i) IF $\frac{dy}{dt} = - \frac{∂H}{∂z}, \frac{dz}{dt}= \frac{∂H}{∂y}$
where H is a function of $y$ and $z$, show ... | 5 | [
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