content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
's Brain Teasers and Riddles
Please send me submissions to the following collection of brain teasers and riddles.
Collection of quicky teasers.
Marble Contest Bug Speed Gold Chains 16 Numbers Shuffled Decks Bad Shipping More Jugs Two Children 100 Coins Birthday Ring Pocket Change Kids Ages Balloon in Car Bananas to M... | 4 | [
0.0225830078125,
0.0703125,
0.048095703125,
-0.023193359375,
-0.03369140625,
0.031982421875,
0.007568359375,
-0.0027313232421875,
-0.062255859375,
0.068359375,
0.001708984375,
-0.099609375,
0.00543212890625,
0.0167236328125,
-0.007415771484375,
-0.025390625,
0.05078125,
0.001968383... | 1,100 | 1100 | |
Expressions and Equations
These properties will be necessary to solving equations. They should be committed to memory.
Properties of Equality
The first four properties of equality--those that deal with operations--allow us to add, subtract, multiply and divide variables. They also formally express the idea that when ... | 4 | [
-0.038818359375,
0.0390625,
-0.005584716796875,
0.072265625,
-0.07275390625,
-0.052978515625,
0.00408935546875,
-0.0155029296875,
0.05224609375,
0.06396484375,
0.02880859375,
-0.042236328125,
0.054931640625,
0.047607421875,
0.047607421875,
0.08642578125,
-0.09765625,
0.091796875,
... | 1,101 | 1101 | |
Decibel Conversion
Online Store
Rentals
New Equipment
Refurbished
Leasing
Training
Service
Calibration
Technical Support Articles
We buy!
Contact Us!
Main Page Did you know...
We rent shielded rooms ?
Affiliate Program
///Motorsport
... | 4 | [
-0.0167236328125,
-0.00982666015625,
-0.076171875,
0.016357421875,
-0.042724609375,
-0.061279296875,
-0.0213623046875,
-0.0186767578125,
-0.0146484375,
0.0079345703125,
0.0286865234375,
-0.056396484375,
0.099609375,
0.05712890625,
-0.034912109375,
-0.013916015625,
-0.01495361328125,
... | 1,102 | 1102 | |
Multivariable Limit Problem
September 18th 2009, 06:55 PM
Alterah
Multivariable Limit Problem
I am having some problems with the following problems:
1. $\lim_{\theta\to 0}\frac{sin\theta}{\theta}<br />$
Using l'HΓ΄pital's rule I got that the limit equals.
2. $\lim_{(x,y)\to (0,0)}\frac{sin(x + y)}{x... | 5 | [
-0.019775390625,
-0.08349609375,
-0.072265625,
-0.10546875,
0.032470703125,
-0.01080322265625,
-0.06494140625,
-0.09326171875,
-0.003997802734375,
-0.0263671875,
0.1181640625,
0.0208740234375,
-0.029296875,
0.056884765625,
0.05078125,
0.072265625,
-0.0830078125,
-0.030029296875,
... | 1,103 | 1103 | |
Differential Equation<don't know what method to use
Code: (x^2+y^2-5)dx=(x+xy)dy What method should I use to find the General Solution of this?
$(x^2+y^2-5)dx=(x+xy)dy$ $\frac{dy}{dx}(x+xy)=x^2+y^2-5$ $\frac{dy}{dx}=\frac{x^2+y^2-5}{x+xy}$ $\int \frac{dy}{dx} dx=\int \frac{x^2+y^2-5}{x+xy} dx$ $\int dy=\int \frac{x^2+... | 4 | [
-0.0751953125,
-0.0849609375,
0.07470703125,
-0.0008087158203125,
0.03271484375,
-0.0947265625,
-0.056640625,
-0.034423828125,
-0.044921875,
-0.040771484375,
0.08251953125,
0.01953125,
-0.0703125,
0.091796875,
-0.0302734375,
0.056884765625,
-0.08251953125,
-0.017822265625,
-0.015... | 1,104 | 1104 | |
Homework Help
Posted by Sribava on Sunday, November 6, 2011 at 3:21pm.
The base of a triangle is on the x-axis, one side lies along the line y=3x, and the third side passes through the point (1,1). What is the slope of the third side if the area of the triangle is to be
a minimum.
β’ calculus - Steve, Monday, Novemb... | 5 | [
-0.017333984375,
0.034423828125,
-0.036376953125,
-0.0595703125,
-0.06591796875,
-0.0036468505859375,
0.0712890625,
0.030029296875,
-0.039306640625,
0.05029296875,
-0.038330078125,
-0.12451171875,
0.0771484375,
0.033935546875,
-0.0172119140625,
0.056640625,
-0.0654296875,
-0.026977... | 1,105 | 1105 | |
proof with continous function
April 17th 2007, 06:44 PM #1
Junior Member
Joined
Jul 2006
Posts
73
proof with continous function
Let F: D->R and suppose that f(x)>= 0 for all x elemend of D. Define sqrt(f): D->R by sqrt(f)(x) = sqrt(f(x)). If f is continuous at c element of D, prove that sqrt(f) is contin... | 4 | [
-0.1123046875,
-0.031005859375,
0.0341796875,
0.0189208984375,
0.01092529296875,
0.1064453125,
0.0439453125,
0.0024566650390625,
0.0002346038818359375,
0.0146484375,
0.051025390625,
0.042236328125,
-0.0262451171875,
0.03662109375,
0.01312255859375,
0.01519775390625,
0.001480102539062... | 1,106 | 1106 | |
Rank A and Basis of Rn
October 12th 2012, 10:05 PM #1
Junior Member
Joined
Sep 2012
From
Canada
Posts
30
Rank A and Basis of Rn
Hi guys, I would really apprieciate it if I could get some tips to proving this:
If A is an m x n matrix with columns c1, c2, ... cn, and rank A = n, show that (I'll le... | 4 | [
-0.0947265625,
-0.0634765625,
0.002532958984375,
0.005767822265625,
0.0245361328125,
0.08642578125,
0.046875,
-0.00830078125,
-0.037109375,
-0.0281982421875,
-0.059814453125,
-0.0240478515625,
0.046630859375,
-0.0191650390625,
-0.080078125,
0.050048828125,
-0.042236328125,
0.046386... | 1,107 | 1107 | |
Homework Help
Graph-sketching - MathMate, Saturday, December 5, 2009 at 10:04pm
=================================================================
This problem is a good pre-exam example on functions, since it covers most of the aspects.
f(x)=(3x^4-5x+3)/(x^4+1)
DOMAIN
dom f(x)=dom(numerator)βͺdom(denominator) - und... | 5 | [
0.00604248046875,
0.0228271484375,
-0.00799560546875,
0.0111083984375,
-0.0281982421875,
-0.05908203125,
-0.052734375,
0.026123046875,
0.0235595703125,
-0.031982421875,
0.0026702880859375,
-0.06591796875,
0.07421875,
0.05908203125,
0.0010986328125,
0.0252685546875,
-0.034423828125,
... | 1,108 | 1108 | |
Please check my answers for probability hw (urgent)
February 12th 2009, 06:35 AM #1
Member
Joined
Oct 2008
Posts
83
Please check my answers for probability hw (urgent)
Fistly, I'd like to say sorry about the text it is long. But I just want to check the answer. Thank you 4 ur time!
(1). Printer car... | 5 | [
0.0003223419189453125,
0.0218505859375,
0.0164794921875,
-0.04248046875,
-0.0155029296875,
-0.04345703125,
0.107421875,
0.0556640625,
-0.0654296875,
0.04443359375,
0.04052734375,
-0.0086669921875,
0.0361328125,
-0.01043701171875,
-0.02685546875,
-0.00787353515625,
-0.054931640625,
... | 1,109 | 1109 | |
Show independence result
July 1st 2010, 01:19 AM #1
Junior Member
Joined
Jun 2010
Posts
32
Show independence result
Hi
If $X$ is a random variable on some probability space $(\Omega, \mathcal{F},P)$, $A$ is a set in $\mathcal{F}$, and for every Borel subset $B$ of $\mathbb{R}$, we have
$\int_{A... | 4 | [
-0.042236328125,
0.0023956298828125,
0.0751953125,
-0.10107421875,
0.041015625,
0.034912109375,
0.1689453125,
-0.02734375,
0.03515625,
0.058349609375,
0.0191650390625,
-0.01531982421875,
0.0947265625,
0.0264892578125,
0.045654296875,
0.068359375,
-0.05712890625,
0.0361328125,
-0.... | 1,110 | 1110 | |
Characteristics of Polynomials
January 3rd 2009, 08:04 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Characteristics of Polynomials
Determine which of the following polynomial functions is even, odd or neither.
(a) f(x) = 3x^4 - 2x + 1...The answer is neither. BUT what makes it neit... | 4 | [
-0.03759765625,
-0.03369140625,
-0.000701904296875,
0.0791015625,
0.0260009765625,
0.037841796875,
-0.0211181640625,
-0.0289306640625,
-0.0213623046875,
0.0037384033203125,
0.021240234375,
-0.0908203125,
0.006561279296875,
0.0198974609375,
-0.034912109375,
0.0172119140625,
-0.0986328... | 1,111 | 1111 | |
Homework Help
Posted by Zach on Tuesday, May 4, 2010 at 11:57pm.
A large tank contains 400-kg mixture of water and alcohol. The mixture is 64% alcohol by weight. At each step, 100 kg of the mixture will be drained from the tank, replaced with 100 kg of water and
then stirred. After three steps, what percent of the fin... | 4 | [
0.027099609375,
0.04052734375,
-0.0213623046875,
0.005950927734375,
0.005706787109375,
-0.012939453125,
-0.017822265625,
0.005401611328125,
-0.0142822265625,
-0.0380859375,
0.02587890625,
-0.046630859375,
-0.00787353515625,
0.0625,
-0.0263671875,
0.04931640625,
-0.07763671875,
-0.0... | 1,112 | 1112 | |
2 Optimization problem need help
May 22nd 2010, 11:26 PM #1
Junior Member
Joined
Mar 2010
Posts
33
2 Optimization problem need help
Hello I need step by step all way to get the answer.
1) Find the closest distance of the point (3,1) to the curve xy=8.
2) Find the farthest distance of the point ... | 5 | [
0.006072998046875,
0.01202392578125,
-0.046875,
-0.0908203125,
-0.06884765625,
0.02392578125,
-0.0211181640625,
0.1142578125,
0.007720947265625,
0.0238037109375,
0.034912109375,
0.052001953125,
0.06396484375,
0.06591796875,
-0.01190185546875,
0.050537109375,
0.0260009765625,
-0.054... | 1,113 | 1113 | |
Homework Help
Posted by Jack on Thursday, February 2, 2012 at 7:01pm.
The sum of two numbers is 10.The sum of their squares is 52.Find the numbers.
β’ math - Reiny, Thursday, February 2, 2012 at 8:29pm
one number --- x
the other ---- 10-x
x^2 + (10-x)^2 = 52
x^2 + 100 - 20x + x^2 = 52
2x^2 - 20x... | 4 | [
-0.0179443359375,
0.06201171875,
-0.033203125,
0.00848388671875,
-0.00909423828125,
0.059814453125,
0.0028076171875,
0.00909423828125,
-0.031982421875,
-0.08154296875,
-0.0252685546875,
0.056396484375,
0.039306640625,
0.042236328125,
-0.0091552734375,
0.0174560546875,
0.0084228515625... | 1,114 | 1114 | |
How to determine the equation of tangent? Derivative of e?
June 4th 2013, 09:18 AM
misiaizeska
How to determine the equation of tangent? Derivative of e?
Find the equation of the tangent to the curve y = 2 - e^-x at the point where x =1.
I know that you have to find the derivative of that function, which is... | 4 | [
-0.0390625,
-0.0213623046875,
0.03857421875,
-0.0023193359375,
0.057861328125,
-0.01397705078125,
0.049560546875,
0.10546875,
-0.014892578125,
0.0225830078125,
0.04150390625,
-0.134765625,
-0.005645751953125,
0.038330078125,
0.064453125,
0.0213623046875,
-0.03662109375,
-0.06494140... | 1,115 | 1115 | |
Homework Help
Posted by Anonymous on Wednesday, July 18, 2012 at 1:18am.
The population of the world in 1987 was 5 billion and the annual growth rate was
estimated at 2 percent per year. Assuming that the world population follows an
exponential growth model, find the projected world population in 2015.
β’ maths - ... | 4 | [
-0.01953125,
0.043701171875,
0.058349609375,
0.037841796875,
0.0240478515625,
-0.06494140625,
-0.0084228515625,
0.043212890625,
0.03076171875,
0.10888671875,
0.11962890625,
-0.1025390625,
0.0184326171875,
0.0299072265625,
0.00921630859375,
0.015380859375,
-0.15234375,
-0.0751953125... | 1,116 | 1116 | |
Homework Help
Posted by Lauren on Sunday, August 5, 2012 at 9:31pm.
Standing waves on a string are generated by oscillations having amplitude 0.005 m, angular frequency 942 rad/s, and wave number 0.750p rad/m.
a.) What is the equation of the standing wave?
b.) At what distances from x=0 are the nodes and antinodes?
... | 5 | [
-0.032958984375,
0.05615234375,
-0.0184326171875,
0.0010986328125,
-0.01611328125,
0.0029449462890625,
-0.01361083984375,
0.043212890625,
-0.0673828125,
0.004974365234375,
0.1044921875,
-0.038818359375,
-0.016357421875,
-0.126953125,
-0.004547119140625,
0.06640625,
0.0006523132324218... | 1,117 | 1117 | |
Bound probability of sum of two variables
June 26th 2011, 11:56 AM #1
Newbie
Joined
Jun 2011
Posts
6
Bound probability of sum of two variables
If x1 and x2 are independent, Pr(a<x1<b)=p, Pr(c<x2<d)=p, and y=x1+x2. can we prove that Pr(a+c<y<b+d)>= p? I have proved it if x1 and x2 are normally distributed... | 5 | [
-0.0301513671875,
-0.00555419921875,
0.07275390625,
-0.0849609375,
0.034423828125,
-0.00372314453125,
-0.028564453125,
-0.0283203125,
0.01611328125,
0.01953125,
-0.01611328125,
0.06298828125,
0.0220947265625,
0.00970458984375,
0.11181640625,
0.0322265625,
0.041748046875,
0.02783203... | 1,118 | 1118 | |
Limit without L'Hospital's Rule.
January 11th 2009, 12:12 PM #1
Junior Member
Joined
Apr 2008
Posts
48
Limit without L'Hospital's Rule.
Hello, I was wondering if there was a nice way to evaluate $\displaystyle\smash{\lim_{x\to\ 0}}\dfrac{ln^2{(1+x)}+\ln^2{(1-x)}}{x^2}$ without using L'Hospital's rule. I'... | 5 | [
0.06982421875,
0.04052734375,
0.0235595703125,
-0.00099945068359375,
-0.004730224609375,
-0.040283203125,
0.049072265625,
-0.09521484375,
0.013427734375,
0.05712890625,
0.03173828125,
-0.003692626953125,
0.0179443359375,
0.08251953125,
-0.0181884765625,
0.04443359375,
-0.046630859375... | 1,119 | 1119 | |
MathGroup Archive: September 2005 [00532]
[Date Index] [Thread Index] [Author Index]
Re: Set of strings reducing problem (Again!)
β’ To: mathgroup at smc.vnet.net
β’ Subject: [mg60599] Re: Set of strings reducing problem (Again!)
β’ From... | 5 | [
-0.07177734375,
0.048583984375,
0.1337890625,
0.00933837890625,
-0.0242919921875,
0.041259765625,
0.04296875,
-0.016357421875,
-0.0322265625,
-0.000362396240234375,
-0.01373291015625,
0.006561279296875,
-0.02294921875,
-0.056396484375,
-0.037353515625,
0.057861328125,
-0.041259765625... | 1,120 | 1120 | |
Calculus I don't understand
Posted by Jackie on Wednesday, December 4, 2013 at 2:53pm.
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y = 10 x and y = 5 x^2 about y =0
Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, ... | 5 | [
-0.01153564453125,
0.0291748046875,
0.03955078125,
-0.03564453125,
0.01348876953125,
-0.048583984375,
-0.051513671875,
0.0771484375,
0.014404296875,
-0.049560546875,
-0.0001811981201171875,
0.08447265625,
0.0166015625,
0.095703125,
-0.0498046875,
0.01708984375,
-0.0240478515625,
-0... | 1,121 | 1121 | |
Simplifying Fractions and solving for u
March 18th 2008, 11:39 AM #1
Newbie
Joined
Mar 2008
Posts
23
Simplifying Fractions and solving for u
Could someone explain how to do this problem?
Solve the following equation for u:
Simplify your answer as much as possible.
$\frac{3}{u+3} =-5$
... | 4 | [
-0.111328125,
0.006439208984375,
0.0079345703125,
0.00885009765625,
0.0341796875,
-0.0419921875,
-0.0074462890625,
-0.0966796875,
-0.009033203125,
0.0228271484375,
0.1103515625,
-0.08349609375,
-0.0223388671875,
0.060791015625,
0.0115966796875,
-0.0091552734375,
-0.01953125,
0.0191... | 1,122 | 1122 | |
Homework Help
Posted by Anonymous on Friday, November 4, 2011 at 6:17am.
The 8th term of an A P is 5times the third term while the 7th term is 9 greater than the 4th term.what are the first five term
β’ arithmetic - Reiny, Friday, November 4, 2011 at 8:59am
term(3) = a+2d
term(8) = a+7d
a+7d = 5(a+2d)
... | 4 | [
-0.052978515625,
0.000804901123046875,
0.0986328125,
-0.083984375,
-0.06884765625,
0.0240478515625,
-0.037353515625,
-0.01953125,
-0.035888671875,
0.0308837890625,
0.08056640625,
-0.0146484375,
-0.023681640625,
0.00689697265625,
-0.047119140625,
-0.07421875,
-0.0859375,
0.036132812... | 1,123 | 1123 | |
Second Part Final (4 Problems Need Help)
May 16th 2006, 09:59 PM
OverclockerR520
Second Part Final (4 Problems Need Help)
Hello,
Well I think I did fairly well on my first part of the math final. Well I've been studying for my second part of the final which is wednesday night. I have 4 problems this time I ... | 5 | [
0.05615234375,
0.038818359375,
-0.01409912109375,
-0.07373046875,
-0.038330078125,
-0.0299072265625,
-0.01141357421875,
0.08837890625,
-0.1357421875,
0.04443359375,
-0.032958984375,
-0.005218505859375,
0.046875,
0.033935546875,
-0.026611328125,
0.099609375,
0.015380859375,
0.029541... | 1,124 | 1124 | |
differentiation ..... :(
May 13th 2005, 04:39 AM #1
Newbie
Joined
May 2005
Posts
9
differentiation ..... :(
can someone help me sove this ??????
Differentiate (x^2 + 1)^8;
Hence Find Sx(x^2 + 1)^7 dx
thanks all ... ps can you post it step by step so i can understand it as well
(x^2 +1)... | 5 | [
-0.033935546875,
0.025146484375,
0.06396484375,
0.051513671875,
0.030029296875,
0.0252685546875,
-0.0400390625,
0.01214599609375,
-0.043212890625,
-0.03857421875,
0.07177734375,
-0.05615234375,
-0.01239013671875,
0.06494140625,
-0.126953125,
-0.0284423828125,
-0.0242919921875,
0.03... | 1,125 | 1125 | |
How to find the Changed Base
June 17th 2009, 09:46 PM #1
Member
Joined
Apr 2008
Posts
123
How to find the Changed Base
The formula A = P(1.09)^t is an example of exponential growth with base 1.09. Determine an equivalent continuous growth formula using base e.
Also, what if it asks me to use a diffe... | 5 | [
0.017333984375,
0.01373291015625,
0.0206298828125,
-0.036376953125,
0.034912109375,
-0.0244140625,
0.047119140625,
0.0810546875,
0.01318359375,
0.09033203125,
0.02490234375,
-0.0286865234375,
-0.0206298828125,
0.03369140625,
0.05908203125,
0.1005859375,
-0.12890625,
0.06982421875,
... | 1,126 | 1126 | |
Simplify
January 27th 2009, 02:37 PM
DCHomage
Simplify
Express this answer as a fraction without any negative exponents:
2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)
Factor and simplify it. I have problems with this one.
January 27th 2009, 03:30 PM
skeeter
Quote:
2x(2x-1)^(-1/2) - 2(2x-1)^(1/2)
$2x... | 4 | [
0.033203125,
-0.04248046875,
0.076171875,
0.06591796875,
0.0260009765625,
-0.045166015625,
-0.0439453125,
0.039794921875,
0.004638671875,
0.087890625,
0.0184326171875,
-0.04443359375,
0.0791015625,
0.034912109375,
-0.006561279296875,
0.06298828125,
-0.0296630859375,
-0.038330078125... | 1,127 | 1127 | |
need help on 2 simutaneous trig. equations
January 2nd 2010, 03:06 PM
cybernoa
need help on 2 simutaneous trig. equations
2 simutaneous equations from my coursework
4=4cosx+3cos(x+y)
3=4sinx+3sin(x+y)
looking for analytical solution, should yield 2 pairs of answers
Thanks in advance guys! (Cla... | 5 | [
-0.07568359375,
-0.0341796875,
-0.08642578125,
0.016845703125,
-0.01116943359375,
0.0556640625,
0.0023345947265625,
-0.03271484375,
-0.01385498046875,
-0.032470703125,
0.052001953125,
-0.0201416015625,
-0.006622314453125,
0.0142822265625,
0.08203125,
-0.0081787109375,
-0.02783203125,... | 1,128 | 1128 | |
elements of symmetric groups and centralizers
April 10th 2010, 01:48 PM
kimberu
elements of symmetric groups and centralizers
Let P = (1, 2, 3, .... n) in $S_n$.
a. Show there are (n-1)! distinct n-cycles in $S_n$.
b. How many conjugates does P have in $S_n$?
c. Let C(P)=N(P) be the centralizer of P ... | 5 | [
-0.048583984375,
-0.01904296875,
0.033935546875,
-0.039794921875,
0.0269775390625,
0.076171875,
0.05126953125,
0.0255126953125,
-0.0732421875,
-0.047607421875,
-0.0281982421875,
0.040283203125,
-0.0198974609375,
-0.103515625,
-0.0267333984375,
0.0128173828125,
-0.008056640625,
-0.0... | 1,129 | 1129 | |
The First Derivative Test
The First Derivative Test (Motivation and Theorem)
If f is a function, then f has a relative maximum at x = c if for all points a n... | 5 | [
-0.0208740234375,
-0.036865234375,
0.034423828125,
-0.0081787109375,
0.040283203125,
0.0032958984375,
-0.054931640625,
0.09765625,
0.06396484375,
0.07666015625,
0.08447265625,
0.03515625,
0.09130859375,
0.04296875,
-0.037109375,
-0.037353515625,
0.0038604736328125,
-0.01806640625,
... | 1,130 | 1130 | |
Double and triple integral issues
July 23rd 2008, 08:46 PM
dataspot
Double and triple integral issues
I'm having a really hard time trying to figure out how to find the limits of double and triple integrals.
I'm also having trouble determining which limits go on which integral and whether it should be order... | 5 | [
0.01806640625,
-0.04541015625,
-0.01470947265625,
-0.1328125,
0.0189208984375,
-0.0888671875,
-0.07421875,
0.051025390625,
-0.0308837890625,
-0.038818359375,
-0.0015716552734375,
0.08740234375,
0.007080078125,
-0.007415771484375,
0.0196533203125,
0.00066375732421875,
-0.034912109375,... | 1,131 | 1131 | |
Product of a geomretic progression
April 8th 2011, 09:26 AM #1
Newbie
Joined
Apr 2011
Posts
10
Product of a geomretic progression
Hey guys, I am new to this forum and I hope to maybe become a regular user.
The following problem is actually from my high school investigation coursework, but it seems t... | 5 | [
-0.1259765625,
0.01446533203125,
0.025634765625,
-0.0263671875,
-0.0284423828125,
0.0247802734375,
0.0299072265625,
0.06591796875,
0.0185546875,
0.0130615234375,
-0.023193359375,
-0.0252685546875,
0.07373046875,
0.017822265625,
-0.02685546875,
-0.00762939453125,
-0.00555419921875,
... | 1,132 | 1132 | |
Homework Help
Posted by Morgan on Tuesday, June 18, 2013 at 2:13pm.
A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of
the building.
Answer the following:
The distance ... | 5 | [
-0.0303955078125,
0.0242919921875,
0.03662109375,
-0.054931640625,
0.0546875,
0.041748046875,
-0.0322265625,
0.06591796875,
0.0150146484375,
-0.004486083984375,
0.09326171875,
-0.07177734375,
0.0010986328125,
0.01129150390625,
-0.016357421875,
0.0274658203125,
-0.07275390625,
0.027... | 1,133 | 1133 | |
Curve Fitting 2
September 14th 2010, 04:36 PM
Apprentice123
Curve Fitting 2
In a given experiment, measurements taken showed that the number of
elements of a bacterial population decreased with time, so
approximately exponential:
time - 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 -8 - 9 - 10
amount - 419 - 27... | 5 | [
-0.09912109375,
-0.041015625,
-0.00390625,
-0.01708984375,
-0.0302734375,
-0.038330078125,
-0.012451171875,
0.051025390625,
0.028076171875,
0.01806640625,
0.11376953125,
-0.020263671875,
0.0185546875,
-0.0034027099609375,
-0.039794921875,
0.03662109375,
-0.07958984375,
-0.028564453... | 1,134 | 1134 | |
Calculus Optimization Word Prob
December 4th 2006, 04:24 PM #1
Newbie
Joined
Mar 2006
Posts
17
Calculus Optimization Word Prob
Hi, I have 2 questions on these words problems. I really am not sure where to start these.
1. An advertisement consists of a rectangular printed region with margins of 2 inc... | 5 | [
0.06884765625,
0.05419921875,
-0.043212890625,
-0.061279296875,
0.045166015625,
0.006134033203125,
-0.0478515625,
0.08544921875,
-0.091796875,
-0.006927490234375,
0.01318359375,
0.0245361328125,
0.07177734375,
0.08447265625,
0.033447265625,
0.06787109375,
0.01519775390625,
0.038330... | 1,135 | 1135 | |
Physics 4-26
Question Answer
The charge of an electron is ... | 4 | [
-0.005340576171875,
0.0186767578125,
-0.01214599609375,
0.10498046875,
-0.00836181640625,
0.051513671875,
0.05615234375,
0.003936767578125,
-0.014404296875,
0.02783203125,
0.056396484375,
-0.10888671875,
0.035400390625,
0.0205078125,
-0.09326171875,
-0.072265625,
0.03515625,
-0.079... | 1,136 | 1136 | |
4A Percentages
CHAPTER 4
CONSUMER MATH
Many people believe that mathematics is mainly doing calculations with numbers and formulas β but in reality mathematics has more to do with thinking in a systematic way. Nevertheless, there are some
topics in mathematics that do indeed involve a lot of numerical and algebraic c... | 4 | [
0.0859375,
-0.05517578125,
-0.0498046875,
-0.0233154296875,
-0.06494140625,
-0.04541015625,
0.0242919921875,
0.07373046875,
0.11083984375,
0.03173828125,
0.0169677734375,
0.031494140625,
-0.012451171875,
0.033935546875,
0.04541015625,
0.01007080078125,
0.022705078125,
0.03857421875... | 1,137 | 1137 | |
Homework Help
Posted by Abigail on Wednesday, November 2, 2011 at 6:32pm.
Help, I can't find the pattern rule for this sequence(eg. -6,-3,2,9,18 and the pattern rule is n squared-7)
The pattern: 6,28,64,114,178.
What's the pattern rule?
The pattern: 96,84,64,36.
What's the pattern rule?
The pattern: 0,24,216,960.... | 4 | [
-0.1240234375,
0.005218505859375,
0.0458984375,
-0.04833984375,
0.000797271728515625,
0.053466796875,
-0.091796875,
-0.0157470703125,
-0.052490234375,
0.053955078125,
0.00099945068359375,
-0.0037689208984375,
-0.05322265625,
-0.01507568359375,
-0.0113525390625,
-0.08349609375,
-0.066... | 1,138 | 1138 | |
Trig/Calculus - Given area and angle find sides of triangle
August 29th 2009, 02:57 AM
samtoucan24
Trig/Calculus - Given area and angle find sides of triangle
Hi Guys
Its been 20 years since I looked at trig and calculus. Take it easy on me please (Happy)
In a right angled triangle, is it possible to f... | 4 | [
-0.05908203125,
0.08203125,
0.025390625,
0.03271484375,
-0.01708984375,
-0.003997802734375,
-0.0908203125,
0.0771484375,
-0.08056640625,
-0.0245361328125,
0.020751953125,
0.0172119140625,
0.006927490234375,
0.072265625,
0.06689453125,
-0.0284423828125,
-0.06494140625,
-0.0068664550... | 1,139 | 1139 | |
Physics- momentum please helppp!!!
Posted by Miso on Wednesday, April 25, 2012 at 11:34pm.
An Astronut is working in space station when he notices that his safety rope tying him to the station has come undone. He is 5.00 meters away and drifting further away at 0.100 m/s. Fortunately he is
holding a 1.00 kg hammer as ... | 4 | [
0.0341796875,
0.06396484375,
0.02294921875,
-0.04443359375,
0.014404296875,
-0.0172119140625,
0.01031494140625,
0.07568359375,
-0.060791015625,
0.0673828125,
0.043212890625,
0.015380859375,
-0.0322265625,
-0.009765625,
-0.045166015625,
0.0274658203125,
0.08251953125,
-0.00607299804... | 1,140 | 1140 | |
Gamma
CRT Gamma
Wikipedia has an article on gamma at Gamma Correction which unfortunately has been badly corrupted now (imagining that gamma is to correct human eye response instead of correcting CRT response).
Pity, but nevertheless, the Wikipedia article still includes this excellent graph from before it was corrupt... | 4 | [
-0.0546875,
0.006439208984375,
0.051513671875,
0.0155029296875,
-0.01361083984375,
-0.08837890625,
0.046875,
0.12158203125,
0.014892578125,
-0.009765625,
0.035400390625,
-0.0108642578125,
0.057861328125,
0.01531982421875,
-0.046630859375,
-0.04150390625,
0.078125,
-0.0703125,
0.0... | 1,141 | 1141 | |
Homework Help
Posted by Renee on Monday, June 23, 2008 at 1:09pm.
The MacBurger restaurant chain claims that the waiting time of customers for service is
normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The
quality-assurance department found in a sample of 50 customers at the Warr... | 4 | [
0.0244140625,
0.0537109375,
0.0017547607421875,
0.015380859375,
0.003143310546875,
-0.048095703125,
-0.05517578125,
0.021728515625,
0.0235595703125,
0.029541015625,
0.05859375,
-0.045166015625,
0.033203125,
-0.05322265625,
0.0712890625,
-0.11767578125,
0.09423828125,
-0.05639648437... | 1,142 | 1142 | |
Math Help
September 19th 2008, 06:06 PM #1
Progression
The seventh term of a geometric progression is 0.775 and the ninth term is 0.995.
(a) Find the common ratio (to 3 decimal places).
(b) List the first three terms of the geometric progression (to 6 decimal places).
(c) Find the sum of the first te... | 4 | [
-0.06787109375,
0.0103759765625,
-0.0245361328125,
-0.032470703125,
-0.056396484375,
0.013916015625,
0.0308837890625,
0.00494384765625,
-0.004913330078125,
0.06640625,
0.011474609375,
-0.03515625,
-0.0224609375,
0.06787109375,
-0.032958984375,
0.0216064453125,
-0.0888671875,
0.0183... | 1,143 | 1143 | |
Finding the Number of ordered pairs that satisfy an equation. Please help.
June 8th 2012, 08:51 PM
kokoro123
Finding the Number of ordered pairs that satisfy an equation. Please help.
Attachment 24047
Find the total number of ordered pairs (x,y) which satisfy the equation x^2-4xy+5y^2+2y-4 = 0
.... I... | 4 | [
0.0194091796875,
-0.014404296875,
0.0224609375,
-0.013427734375,
0.01153564453125,
0.07861328125,
-0.060791015625,
0.0172119140625,
0.0673828125,
-0.03857421875,
0.0634765625,
0.0771484375,
0.04833984375,
0.021240234375,
-0.01611328125,
0.06005859375,
-0.003875732421875,
-0.1738281... | 1,144 | 1144 | |
sphere cone problem
March 8th 2009, 09:19 AM
GAdams
sphere cone problem
The radius of a sphere is 3 cm. The radius of the base of a cone is also 3 cm.
The volume of the sphere is 3 times the volume of the cone.
Work out the curved surface area of the cone, giving your answer as a multiple of pi.
T... | 4 | [
0.039306640625,
0.021240234375,
-0.01544189453125,
-0.00113677978515625,
-0.0269775390625,
-0.03564453125,
0.01287841796875,
0.08056640625,
0.0162353515625,
0.032470703125,
-0.04833984375,
-0.01165771484375,
0.002349853515625,
0.047607421875,
0.009521484375,
-0.0281982421875,
-0.0559... | 1,145 | 1145 | |
Finding Slope of Tangent at point on polar curve
January 26th 2009, 03:08 PM #1
Junior Member
Joined
May 2008
Posts
56
Finding Slope of Tangent at point on polar curve
r=cos[theta/3], theta=pi
So dy/dx is dy/d theta / dx/d theta and x=rcos theta, y=rsin theta and i found the derivatives of each whic... | 5 | [
-0.1435546875,
-0.08935546875,
-0.09130859375,
-0.0286865234375,
0.046875,
0.0159912109375,
-0.03173828125,
0.07080078125,
0.0654296875,
0.0272216796875,
0.02001953125,
-0.047119140625,
0.01312255859375,
0.0712890625,
0.080078125,
0.0255126953125,
-0.11474609375,
0.0556640625,
0.... | 1,146 | 1146 | |
a question about tangent lines and slopes
September 13th 2006, 11:46 PM
mHadad
a question about tangent lines and slopes
the question is:
Find the points on the graph of y = x ^ (3/2) - x ^ (1/2) at which the tangent line is parallel to the line y - x = 3.
i have derived the first function to find the t... | 4 | [
-0.05126953125,
-0.109375,
-0.050537109375,
0.004608154296875,
-0.0034637451171875,
-0.0419921875,
0.00933837890625,
0.060791015625,
0.07275390625,
-0.006439208984375,
0.050048828125,
-0.060546875,
0.0673828125,
0.044677734375,
0.07568359375,
0.10107421875,
-0.09130859375,
-0.07128... | 1,147 | 1147 | |
inner product space
April 4th 2010, 05:21 PM #1
inner product space
Let $V$ be an inner product space, $T:V \rightarrow V$ be a linear operator such that $||T(x)||=||x||$ show that $T$ is injective.
I hope I am not misreading the question... $xe y\implies \|x-y\|e 0$ and so $\|T(x-y)\|e 0$ and thus $T(x-y)e\... | 5 | [
-0.0234375,
0.006683349609375,
0.047607421875,
-0.07958984375,
-0.07470703125,
0.00445556640625,
0.07666015625,
-0.0157470703125,
-0.031982421875,
0.0390625,
0.03271484375,
-0.0021820068359375,
-0.0216064453125,
0.051025390625,
0.017333984375,
-0.00445556640625,
0.1064453125,
-0.06... | 1,148 | 1148 | |
Capital Budgeting
Self-Paced Overview
Capital Budgeting Techniques
There are a number of capital budgeting techniques available to an analyst. For our purposes, we will only review net present value and internal rate of return.
Net Present Value
The Net Present Value technique involves discounting net cash flows f... | 4 | [
0.020751953125,
0.03564453125,
-0.0634765625,
-0.033447265625,
0.0286865234375,
0.05810546875,
0.0654296875,
0.03515625,
0.0751953125,
0.10400390625,
-0.0908203125,
-0.0311279296875,
-0.0252685546875,
0.0361328125,
-0.0242919921875,
-0.052734375,
0.0576171875,
-0.04248046875,
0.0... | 1,149 | 1149 | |
the composition of a measurable function with a continuous function is measurable
September 30th 2009, 03:01 PM #1
the composition of a measurable function with a continuous function is measurable
Show that if f is a measurable real-valued function and g is a continuous function defined on $(-\infty ,\infty )$, t... | 5 | [
0.03466796875,
-0.0152587890625,
0.0615234375,
0.0022735595703125,
0.029296875,
0.00457763671875,
0.10693359375,
0.0771484375,
-0.056640625,
0.0179443359375,
-0.0034027099609375,
-0.0654296875,
0.045654296875,
-0.002288818359375,
-0.0244140625,
-0.07177734375,
0.140625,
-0.03002929... | 1,150 | 1150 | |
help with differentiation and limits
September 6th 2009, 04:53 AM #1
Junior Member
Joined
Jul 2009
Posts
32
help with differentiation and limits
Differentiate y = logx3 (base is x) ie. y^3 = x
Evaluate lim xsin1/x using u=1/x
x=>β
lim (βx - β5)/(x-5)
x=>5
thankyou so much to an... | 5 | [
-0.0419921875,
-0.0595703125,
-0.000762939453125,
-0.022216796875,
0.0167236328125,
-0.02978515625,
0.046875,
-0.07861328125,
0.03125,
0.044921875,
0.1337890625,
0.0211181640625,
-0.0228271484375,
0.07666015625,
0.060546875,
0.0546875,
-0.0390625,
-0.0419921875,
-0.09130859375,
... | 1,151 | 1151 | |
Pre-Cal(Please check)
Posted by Abbey on Thursday, March 11, 2010 at 1:49pm.
Approximate the equation's solutions in the interval (0,2pi)
sin2x sinx = cosx
2cos(x) (1/2-sin^2x) = 0
Then I got 3pi/2, pi/2, pi/6 and 5pi/6
Then I substituted 0-3 and got 3pi/2 , 5pi/2 , 9pi/2 , pi/2, pi/6, 7pi/6, 13pi/6 , 19pi/6 , 5pi... | 4 | [
-0.06396484375,
0.034912109375,
0.0380859375,
0.036865234375,
-0.01080322265625,
-0.0341796875,
-0.06298828125,
0.033447265625,
0.03173828125,
-0.003662109375,
0.08935546875,
-0.060546875,
0.00927734375,
0.01708984375,
0.02001953125,
-0.068359375,
-0.0064697265625,
-0.0673828125,
... | 1,152 | 1152 | |
- Non parametric tests on two independent samples
XLSTAT - Non parametric tests on two independent samples
Principles of non-parametric tests on two independent samples
The non-parametric tests on two independent sample are used to compare the distribution of two independent samples.
Non-parametric tests have been ... | 4 | [
-0.07177734375,
-0.00311279296875,
0.00762939453125,
-0.0693359375,
0.06494140625,
-0.039794921875,
-0.072265625,
0.047119140625,
0.060546875,
0.06689453125,
0.07861328125,
-0.042724609375,
0.03173828125,
-0.010986328125,
0.05908203125,
-0.06591796875,
-0.021728515625,
-0.013244628... | 1,153 | 1153 | |
Random number routines [was: st: Simple Question - Use of rndbin]
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
Random number routines [was: st: Simple Question - Use of rndbin]
From n j cox <n.j.cox@durham.ac.uk>
To statalist@hsphsun2.harvard.edu, pr@ctu.mrc.ac.uk
Subject Random ... | 4 | [
-0.1357421875,
-0.07470703125,
-0.0172119140625,
0.00799560546875,
-0.022705078125,
0.00848388671875,
0.08349609375,
-0.040283203125,
-0.0113525390625,
-0.027099609375,
-0.059814453125,
0.048583984375,
0.021728515625,
-0.034423828125,
-0.0294189453125,
-0.02392578125,
-0.04443359375,... | 1,154 | 1154 | |
Homework Help
Posted by joe on Monday, December 7, 2009 at 9:41am.
The actual span of the base of the dome is 143 feet.
1) Use cylindrical coordinates to write the surface of the dome as a function of the
distance from the center of the base; that is find z = f (r) .
2) Use your function to find the height of the d... | 5 | [
0.0400390625,
0.1181640625,
0.0225830078125,
-0.047607421875,
0.016845703125,
-0.030517578125,
0.07958984375,
0.049560546875,
-0.0029144287109375,
0.05517578125,
-0.00116729736328125,
-0.007720947265625,
0.05859375,
0.04296875,
-0.033935546875,
-0.06103515625,
-0.051513671875,
0.02... | 1,155 | 1155 | |
is generically split Azumaya algebra locally split?
up vote 4 down vote favorite
1
Let $A$ be an Azumaya algebra over a scheme $X$ (or maybe more specifically a scheme of finite type over a field). Suppose that the restriction of $A$ to $U=X\setminus Z$ (where $Z$ is a closed set)
is split, i.e. isomorphic to $M_n(\ma... | 5 | [
-0.00185394287109375,
0.03369140625,
-0.052001953125,
-0.0012054443359375,
0.002685546875,
-0.056884765625,
0.07470703125,
-0.03564453125,
-0.00408935546875,
-0.0673828125,
0.0595703125,
0.01055908203125,
0.0291748046875,
0.02197265625,
0.046875,
0.00885009765625,
-0.044921875,
-0.... | 1,156 | 1156 | |
Homework Help
physics - tchrwill, Friday, April 1, 2011 at 11:45am
The earth's gravity reaches out forever but the force of attraction on bodies at great distances would be extremely small depending on the mass of the body. The Law of Universal Gravitation states
that each particle of matter attracts every other parti... | 4 | [
-0.005706787109375,
-0.0213623046875,
0.0361328125,
0.0361328125,
0.039306640625,
0.018798828125,
0.03369140625,
0.06005859375,
-0.0108642578125,
0.0556640625,
0.024658203125,
-0.024169921875,
-0.01043701171875,
0.00408935546875,
-0.01123046875,
-0.004547119140625,
0.0751953125,
-0... | 1,157 | 1157 | |
numpy.nanvar
numpy.nanvarΒΆ
numpy.nanvar(a, axis=None, dtype=None, out=None, ddof=0, keepdims=False)[source]ΒΆ
Compute the variance along the specified axis, while ignoring NaNs.
Returns the variance of the array elements, a measure of the spread of a distribution. The variance is computed for the flattened ar... | 5 | [
0.0054931640625,
-0.0869140625,
0.0059814453125,
-0.07080078125,
-0.00537109375,
-0.10205078125,
0.000858306884765625,
-0.01409912109375,
-0.04931640625,
0.018310546875,
0.017822265625,
0.015380859375,
-0.023681640625,
0.03466796875,
-0.0184326171875,
-0.0654296875,
-0.037109375,
0... | 1,158 | 1158 | |
Applications of Katoβs inequality for n-tuples of operators in Hilbert spaces, (I)
Abstract
In this paper, by the use of the famous Katoβs inequality for bounded linear operators, we establish some inequalities for n-tuples of operators and apply them for functions of normal operators
defined by power series as well a... | 5 | [
-0.0634765625,
0.00537109375,
0.0135498046875,
-0.000644683837890625,
-0.04638671875,
0.01226806640625,
0.03857421875,
0.01336669921875,
-0.0230712890625,
-0.049072265625,
0.045166015625,
0.04150390625,
0.051513671875,
-0.050048828125,
-0.037353515625,
-0.032958984375,
0.01611328125,... | 1,159 | 1159 | |
Series Solutions: First Examples
Let us look (again) at the example
y''+4y=0.
Using other techniques it is not hard to see that the solutions are of the form
We want to illustrate how to find power series solutions f... | 5 | [
-0.0849609375,
0.0294189453125,
0.08154296875,
0.1142578125,
0.0281982421875,
0.0274658203125,
-0.0517578125,
-0.044677734375,
0.08349609375,
-0.0042724609375,
0.06640625,
-0.039306640625,
-0.03955078125,
0.030517578125,
-0.0021820068359375,
0.033935546875,
-0.02685546875,
0.001327... | 1,160 | 1160 | |
Fundermantals of Cooperate Finance by Sujinzi
Lab 8 question 3 chapter 13
Question 3 [8 points]
Your solution to the question was:
Southgate Inc.'s stock sells for a price of $27. The total book value of the firm's equity is $1,000,000, book value per share is $20. The cost of equity is 20 percent. The firm's bonds h... | 5 | [
-0.01495361328125,
-0.007568359375,
-0.111328125,
-0.06494140625,
-0.060546875,
0.032958984375,
0.031982421875,
0.111328125,
0.04736328125,
0.0244140625,
0.044921875,
-0.01318359375,
0.005218505859375,
-0.060302734375,
-0.0267333984375,
-0.021240234375,
-0.0152587890625,
-0.0712890... | 1,161 | 1161 | |
Homework Help
Posted by Jin on Saturday, September 4, 2010 at 12:05am.
Consider the function
f(x)=β3x3β1x2+1x+1Find the average slope of this function on the interval (β2β1).
By the Mean Value Theorem, we know there exists a c in the open interval (β2β1) such that f(c) is equal to this mean slope. Find the value of ... | 4 | [
-0.07666015625,
0.02490234375,
0.083984375,
-0.017822265625,
0.0262451171875,
0.0546875,
-0.0205078125,
0.10400390625,
-0.01055908203125,
0.0174560546875,
0.040283203125,
-0.1201171875,
0.0308837890625,
0.025390625,
-0.10009765625,
-0.03369140625,
-0.051025390625,
-0.06494140625,
... | 1,162 | 1162 | |
Homework Help
Posted by Emily on Monday, March 3, 2008 at 6:15pm.
I have this worksheet, it has a bunch of different kinds of questions, but i know all the stuff we learned, i just dont know which ones i use. 1) factor each expression, 8x+10 2) Use Foil to factor
each expression, x2-5x+6 3) Use foil to factor each exp... | 4 | [
-0.07177734375,
0.03857421875,
0.0213623046875,
0.03369140625,
0.0615234375,
0.11083984375,
0.0498046875,
0.015380859375,
-0.0947265625,
-0.04931640625,
0.00726318359375,
-0.004180908203125,
0.018310546875,
0.06982421875,
0.01080322265625,
0.04443359375,
0.02197265625,
0.0471191406... | 1,163 | 1163 | |
Diary of a Graphics Programmer
This post covers some facts about Points, Vertices and Vectors that might be useful. This is a collection of ideas to create a short math primer for engineers that want to explore computer graphics.
The resulting material will be used in future computer graphics classes. Your feedback is ... | 4 | [
-0.06298828125,
-0.017822265625,
-0.09375,
-0.04736328125,
-0.021240234375,
-0.05126953125,
0.048095703125,
0.015380859375,
0.056396484375,
0.0145263671875,
-0.0177001953125,
0.03662109375,
0.058837890625,
0.11083984375,
0.04052734375,
0.00872802734375,
-0.0615234375,
-0.0148315429... | 1,164 | 1164 | |
Reserving based on log-incremental payments in R, part II
January 15, 2013
By Markus Gesmann
(This article was originally published at mages' blog, and syndicated at StatsBlogs.)
Following on from last
week's post
I will continue to go through the paper
Regression models based on log-incremental payments
by Sta... | 4 | [
-0.0830078125,
-0.01446533203125,
-0.00182342529296875,
-0.048095703125,
0.004608154296875,
0.002899169921875,
0.0150146484375,
0.01318359375,
0.0235595703125,
0.078125,
0.046630859375,
0.03662109375,
0.0213623046875,
0.047119140625,
-0.05078125,
-0.047607421875,
-0.03857421875,
-0... | 1,165 | 1165 | |
[SOLVED] Improper integrals
October 21st 2009, 10:32 PM #1
[SOLVED] Improper integrals
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent."
I don't get what to do next, but turns out the integral is
arctan(x) I don't kno... | 5 | [
-0.0225830078125,
-0.0103759765625,
0.064453125,
0.031005859375,
0.087890625,
-0.08154296875,
0.01385498046875,
0.083984375,
-0.06298828125,
-0.056640625,
0.04052734375,
-0.007354736328125,
0.00872802734375,
0.04296875,
-0.14453125,
-0.01226806640625,
0.06005859375,
-0.055419921875... | 1,166 | 1166 | |
Homework Help
Posted by Bill on Monday, December 12, 2011 at 11:15pm.
At 4 PM ship A is 40 miles due South Ship B. Ship A is sailing due South at a rate of 20 knots while ship B is sailing due East at a rate of 25 knots. Find the rate of change of the distance between
the ships at 3 PM and at 5 PM. At what time were t... | 5 | [
-0.032470703125,
0.021240234375,
0.050048828125,
-0.0194091796875,
0.0196533203125,
0.0106201171875,
-0.1025390625,
0.056640625,
-0.03515625,
0.01318359375,
0.091796875,
-0.0517578125,
0.0308837890625,
0.0284423828125,
-0.05517578125,
0.11181640625,
-0.058349609375,
-0.037353515625... | 1,167 | 1167 | |
sequence problem
given the sequence : $x_{n+1} =\frac{6x_{n}+1}{2x_{n}+5}$ find its general term
Do you mean $x_0 = 3$ ? Then $\alpha = \frac{3 - 1}{2\cdot3 + 1} = \frac27$ $x_n = \frac{7^n + \alpha\:4^n}{7^n - 2 \alpha\:4^n} = \frac{1 + \alpha\:\left(\frac47\right)^n}{1 - 2 \alpha\:\left(\
frac47\right)^n}$ Therefore... | 5 | [
-0.09326171875,
-0.051513671875,
-0.034912109375,
-0.0072021484375,
-0.0185546875,
-0.01385498046875,
-0.01611328125,
0.025390625,
0.01068115234375,
0.011962890625,
-0.07080078125,
-0.07470703125,
-0.09716796875,
0.0478515625,
-0.047119140625,
0.00946044921875,
-0.11083984375,
-0.0... | 1,168 | 1168 | |
Homework Help
Posted by BB on Monday, February 27, 2012 at 12:30pm.
A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel?
A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel rotates in frictionless bearings about a stationary horizon... | 5 | [
-0.01275634765625,
0.0595703125,
-0.0517578125,
-0.0028076171875,
0.061279296875,
-0.0019683837890625,
-0.045166015625,
0.10205078125,
0.0155029296875,
0.0211181640625,
0.130859375,
0.0341796875,
0.00347900390625,
-0.0126953125,
-0.03662109375,
0.1640625,
-0.005340576171875,
0.0334... | 1,169 | 1169 | |
2 Linear algebra questions
January 6th 2012, 01:49 PM #1
Junior Member
Joined
May 2011
Posts
54
2 Linear algebra questions
1)Let A be an n x n symmetric matrix. Prove eigenvalues are real.
I can do it in the complex case by proving it is equal to it's conjugate but it doesn't work in the real case.... | 5 | [
-0.09716796875,
0.01397705078125,
-0.032958984375,
-0.02001953125,
-0.06640625,
-0.039306640625,
0.041748046875,
-0.10546875,
-0.0211181640625,
-0.03466796875,
0.07177734375,
0.039306640625,
0.01031494140625,
0.0240478515625,
0.01214599609375,
0.07861328125,
0.044189453125,
-0.0485... | 1,170 | 1170 | |
Mathematics. Geometric sequences.
Posted by Olivia on Sunday, March 10, 2013 at 1:46pm.
2+4+8+...is a geometric sequence. Prove the sum of the first n terms is two less than the (n+1)the term.
β’ Mathematics. Geometric sequences. - Reiny, Sunday, March 10, 2013 at 3:25pm
a = 2 , r = 2
sum(n) = 2(2^n - 1)/(2... | 4 | [
-0.07080078125,
0.0595703125,
0.056884765625,
0.0732421875,
0.02294921875,
0.00335693359375,
-0.083984375,
0.1142578125,
0.0419921875,
-0.015380859375,
-0.119140625,
-0.07373046875,
0.07470703125,
0.03955078125,
-0.0150146484375,
0.01055908203125,
-0.0174560546875,
-0.03564453125,
... | 1,171 | 1171 | |
center of mass
Find the center of mass (x,y) of the region bounded by the graphs of f(x)=4-x^2 and g(x)=x+2.
Another hint: take a triangular piece of paper. From each corner, draw a line to the middle of the opposite side. Each line will intersect at a particular point. That point is your center of mass.
Hi First dra... | 4 | [
0.042724609375,
-0.01708984375,
0.00142669677734375,
-0.0306396484375,
-0.0174560546875,
-0.0908203125,
-0.0263671875,
0.10302734375,
-0.06884765625,
-0.039794921875,
-0.032470703125,
-0.03125,
-0.03662109375,
0.005157470703125,
0.0001659393310546875,
0.036865234375,
0.01953125,
-0... | 1,172 | 1172 | |
Recurrence and genericity - a translation from French
To commemorate passing the French exam earlier this week (without knowing any French) and also to test this program βlatex to wordpressβ, I decided to post my French-translation assignment here.
Last year, I went to Paris and heard a French talk by Crovisier. Stran... | 4 | [
-0.17578125,
-0.029541015625,
0.045166015625,
-0.048095703125,
-0.03369140625,
0.061767578125,
0.072265625,
0.08447265625,
0.09033203125,
-0.014404296875,
0.00927734375,
0.06396484375,
0.0240478515625,
-0.02880859375,
-0.0986328125,
-0.0133056640625,
-0.04052734375,
-0.05322265625,... | 1,173 | 1173 | |
Tempered Stable Distributions - Computing R(dx)
May 27th 2011, 01:02 PM #1
Newbie
Joined
May 2011
Posts
7
Tempered Stable Distributions - Computing R(dx)
Im trying to compute R(dx) from a paper by Jan Rosinski, which can be found here, (also here using slightly different notation).
In the paper on p... | 4 | [
-0.072265625,
-0.03955078125,
-0.01055908203125,
-0.039794921875,
0.0194091796875,
0.04150390625,
0.11181640625,
0.0654296875,
0.00274658203125,
0.049560546875,
0.09130859375,
0.02294921875,
0.035888671875,
-0.01019287109375,
-0.0164794921875,
-0.033447265625,
0.00701904296875,
-0.... | 1,174 | 1174 | |
How Componendo Dividendo Works?
Top
Componendo and dividendo are properties that are generally used for solving Math problems of Ratios and Proportions. Let us see how componendo dividendo works?
Suppose we have a fractional equation as a /b = c /d. When we apply componendo to it we get:
(a + b) /b = (c + d) /d,
Si... | 4 | [
-0.091796875,
0.03564453125,
-0.005859375,
-0.0177001953125,
-0.017822265625,
-0.0218505859375,
-0.0986328125,
-0.014404296875,
0.07080078125,
0.01025390625,
0.07568359375,
-0.10302734375,
-0.044189453125,
0.09619140625,
0.07421875,
0.00118255615234375,
-0.033203125,
0.1640625,
-... | 1,175 | 1175 | |
Homework Help
Posted by Lee on Tuesday, July 19, 2011 at 11:02pm.
The number of people taking the bus at price p dollars per ticket is given by x=5000(5-p)^1/2.
For what value of P is the demand unitary?
β’ Calculus - drwls, Wednesday, July 20, 2011 at 12:02am
"Unitary demand" occurs where p*x = constant, whic... | 5 | [
0.0016021728515625,
-0.002166748046875,
0.03466796875,
-0.04345703125,
-0.05859375,
-0.0244140625,
0.06591796875,
0.0546875,
0.000713348388671875,
0.06298828125,
0.0038604736328125,
-0.05126953125,
0.06689453125,
0.0751953125,
0.013671875,
0.0019683837890625,
0.01708984375,
-0.0270... | 1,176 | 1176 | |
Circular Motion
The purpose of this lab is to investigate uniformly circular motion by investigating the forces that lead to circular motion.
Part A: Circular motion caused by a string
Calculate the number of revolutions per minute N required to keep the hanging mass at an angle of 45 degrees from the vertical as it ... | 4 | [
-0.005889892578125,
0.07568359375,
-0.07177734375,
-0.07177734375,
-0.0869140625,
-0.00860595703125,
-0.052001953125,
0.05126953125,
0.005340576171875,
-0.000782012939453125,
0.0869140625,
0.01025390625,
0.052490234375,
0.018310546875,
-0.00433349609375,
0.0174560546875,
-0.061279296... | 1,177 | 1177 | |
Help on solving this equation!
August 12th 2012, 08:09 AM #1
Newbie
Joined
Aug 2012
From
Netherlands
Posts
3
Help on solving this equation!
Dear all,
I am having trouble solving this equation, it has been some time since I have done this kind of stuff.
Is there anyone here that can tell me h... | 5 | [
-0.08251953125,
-0.00830078125,
0.0262451171875,
-0.01324462890625,
0.01611328125,
-0.0284423828125,
-0.04150390625,
0.0235595703125,
-0.024658203125,
0.044921875,
0.008544921875,
-0.0498046875,
0.017578125,
-0.033447265625,
0.052978515625,
-0.06298828125,
-0.036376953125,
0.025756... | 1,178 | 1178 | |
Surface area of a sphere
June 10th 2010, 05:44 PM #1
Member
Joined
May 2008
Posts
77
Surface area of a sphere
Find the surface ara of the sphere $x^2 + y^2 + z^2=4z$ that lies inside the paraboloid $z=x^2+y^2$, using cylindrical co-ords.
What I've done:
equations of the sphere and paraboloid in ... | 4 | [
0.003143310546875,
0.0252685546875,
-0.07666015625,
-0.04736328125,
0.0089111328125,
-0.0634765625,
-0.033203125,
0.1279296875,
0.01495361328125,
-0.01544189453125,
0.008056640625,
-0.023193359375,
-0.057373046875,
0.03271484375,
0.004638671875,
-0.01068115234375,
-0.02783203125,
-... | 1,179 | 1179 | |
Homework Help
Posted by INDIANA on Tuesday, June 5, 2012 at 10:57am.
(in this question they did not give me any diagrams)
use pie 22/7
(a) a piece of wire is bent to form a square of area 121cm squared
Calculate the length of each side of the square.
Calculate the perimeter of the square.
(b) the same piece of wi... | 4 | [
-0.01385498046875,
0.09814453125,
-0.0245361328125,
0.042236328125,
-0.06298828125,
0.052734375,
0.00555419921875,
0.130859375,
-0.0115966796875,
-0.033447265625,
0.006195068359375,
0.0206298828125,
0.0167236328125,
0.039306640625,
-0.0189208984375,
-0.041015625,
-0.019287109375,
0... | 1,180 | 1180 | |
Homework Help
Posted by jane on Friday, February 20, 2009 at 12:04am.
i got answers for this one, but i feel like i did something wrong.
f(x)=
2x+1 when x is less than or equal to 2
(1/2)x^2 + k when x is greater than 2
1) what value of k will make f continuous at x = 2?
my answer: i got k = 3 because it would ma... | 4 | [
0.0230712890625,
0.0027923583984375,
-0.0284423828125,
-0.0517578125,
-0.04931640625,
-0.016845703125,
0.05908203125,
0.00762939453125,
-0.036865234375,
0.03173828125,
0.06884765625,
-0.050537109375,
0.0390625,
0.0250244140625,
-0.06298828125,
0.037841796875,
-0.0303955078125,
-0.0... | 1,181 | 1181 | |
First order differentials
January 28th 2010, 10:04 AM #1
Newbie
Joined
Jan 2010
Posts
5
First order differentials
$\frac {dy}{dx} = \frac{2x}{x+y}$ using the substitution $y = xu$
I started by stating that $dy/dx = du/dx + u$ (product rule) and subbing so get the equation:
$\frac {du}{dx} + u =... | 5 | [
-0.032470703125,
-0.05712890625,
0.1103515625,
0.006805419921875,
0.10791015625,
-0.00830078125,
0.0024871826171875,
-0.0274658203125,
-0.05810546875,
0.014404296875,
0.12158203125,
-0.0771484375,
-0.059814453125,
0.052734375,
0.032958984375,
-0.0103759765625,
0.0030364990234375,
0... | 1,182 | 1182 | |
physics
January 4th 2009, 06:47 PM
maeca
physics
i need help on how to solve this problem
a linear air track with length 1.5 m is inclined at an angle of 30.0 degrees with the horizontal. a glider of mass 25.3 g is released from the bottom of the track with an initial velocity of 3.0
m/s upward along th... | 5 | [
-0.04345703125,
0.00982666015625,
-0.0196533203125,
-0.00531005859375,
0.01544189453125,
-0.053466796875,
-0.05126953125,
-0.005126953125,
-0.05859375,
0.07421875,
0.0247802734375,
-0.04052734375,
-0.0966796875,
0.00909423828125,
0.00799560546875,
0.0771484375,
-0.007720947265625,
... | 1,183 | 1183 | |
Combinatorics
July 18th 2008, 04:19 PM #1
Junior Member
Joined
Jul 2008
Posts
40
Combinatorics
Jack has a test with a total of 15 questions. He has to answer 12 of these questions.
In how many ways can he choose which questions to answer if he at least has to choose 3 out of the 5 first questions?
... | 4 | [
0.015625,
-0.0194091796875,
-0.0194091796875,
-0.049560546875,
-0.044189453125,
0.04931640625,
0.10009765625,
-0.0027313232421875,
-0.036865234375,
0.09130859375,
-0.044189453125,
-0.06689453125,
-0.01531982421875,
0.04833984375,
-0.034423828125,
0.048095703125,
-0.0294189453125,
-... | 1,184 | 1184 | |
Homework Help
Posted by Anonymous on Sunday, March 7, 2010 at 9:46pm.
Point P(a,b) is on the curve
square root of x + square root of y =1.
Show that the slope of the tangent at P is : - square root of (b/a).
β’ calculus - Reiny, Sunday, March 7, 2010 at 11:13pm
βx + βy = 1 or
x^(1/2) + y^(1/2) = 1
dif... | 5 | [
-0.034912109375,
-0.00714111328125,
0.06298828125,
0.04248046875,
0.033935546875,
0.038330078125,
0.0145263671875,
0.07763671875,
0.0255126953125,
-0.01055908203125,
0.103515625,
-0.00445556640625,
0.0167236328125,
0.07275390625,
0.000583648681640625,
0.076171875,
-0.1240234375,
-0... | 1,185 | 1185 | |
Homework Help
Posted by Andrew on Monday, February 21, 2011 at 9:28pm.
The $75 cost for a party was to be shared equally by all of those attending. Since five more people attended than was expected, the price per person dropped by 50 cents. How many people attended the
party?
β’ Algebra - Reiny, Monday, February 21,... | 4 | [
0.04833984375,
0.04736328125,
0.07568359375,
-0.031494140625,
-0.0084228515625,
0.015380859375,
0.0634765625,
-0.057373046875,
-0.0439453125,
0.10986328125,
0.06005859375,
-0.06982421875,
0.07421875,
0.0208740234375,
0.02197265625,
0.034912109375,
-0.007781982421875,
-0.00982666015... | 1,186 | 1186 | |
Homework Help
Posted by Phillip on Sunday, April 24, 2011 at 5:50pm.
A 32.5g cube of aluminum initially at 45.8 C is submerged into 105.3g water at 15.4 C. What is the final temp of both substances at thermal equilibrium. Assume the al and the H2O are thermally
isolated from everything else)
Specific heat cap Al= .90... | 4 | [
-0.00982666015625,
0.0693359375,
0.07275390625,
0.02001953125,
0.01177978515625,
-0.01324462890625,
0.0301513671875,
0.0147705078125,
-0.0198974609375,
0.0289306640625,
0.0216064453125,
-0.1630859375,
0.04052734375,
-0.03759765625,
0.0264892578125,
-0.00390625,
-0.030029296875,
-0.... | 1,187 | 1187 | |
Proof of a trig relation using induction
July 9th 2010, 07:23 AM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
Proof of a trig relation using induction
The number x and the real number $\theta$ are such that $x + \frac{1}{x}= 2 cos\theta$ . Use
mathematical induction to show that $x^n+ \frac... | 5 | [
-0.1083984375,
0.052978515625,
0.0196533203125,
0.078125,
0.060302734375,
-0.04443359375,
-0.0262451171875,
0.007720947265625,
-0.004913330078125,
0.0006561279296875,
-0.03125,
-0.10302734375,
0.0274658203125,
-0.01141357421875,
-0.04736328125,
-0.0016937255859375,
-0.0120849609375,
... | 1,188 | 1188 | |
set solutions
May 3rd 2011, 03:40 PM #1
Junior Member
Joined
Jan 2011
Posts
40
set solutions
the question is
''Find the solution to the equations.
(i) $25T_{n+2}=T_{n}\\T_{0}=125\\T_{1}=25$
(ii) $25T_{n+2}=-T_{n}\\T_{0}=125\\T_{1}=25$
for i) i have got
If $T_{n}=x^n$, so $25x^{n+2}-... | 5 | [
-0.0703125,
0.04833984375,
0.07080078125,
-0.048095703125,
-0.0341796875,
-0.041015625,
0.05419921875,
0.00811767578125,
0.004058837890625,
-0.00653076171875,
0.09716796875,
-0.09521484375,
-0.0032958984375,
-0.0162353515625,
-0.0186767578125,
0.061767578125,
-0.035888671875,
-0.07... | 1,189 | 1189 | |
Using the difference quotient
January 20th 2008, 11:58 AM #1
using this formula, I'm trying to figure out the problem below
formula: f(a+h)-f(a)/h
Original prob is P(r)=500(1+r)^2
r=0.07 & h=0.01
I want to do this:
500(1+(r+h))^2/h
So 500(1+(0.07+0.01))^2 / 0.01
but it doesn't com... | 4 | [
0.0208740234375,
0.11572265625,
-0.01220703125,
-0.004791259765625,
0.059326171875,
0.01153564453125,
-0.03271484375,
0.03857421875,
0.01214599609375,
0.07861328125,
0.0260009765625,
-0.05712890625,
0.035400390625,
0.08642578125,
0.022705078125,
0.02783203125,
-0.05712890625,
-0.00... | 1,190 | 1190 | |
Homework Help
Posted by alan on Wednesday, May 25, 2011 at 10:20am.
2/27(x-3)β((x^2-6x+23)/y)rearrange the equation to make y the subject
β’ math - question incomplete - MathMate, Thursday, May 26, 2011 at 8:29am
This expression has been the subject of a recent differential equation problem.
dy/dx=(2/27)(x-... | 4 | [
-0.058837890625,
-0.02197265625,
-0.000736236572265625,
-0.03759765625,
0.00130462646484375,
0.068359375,
-0.0299072265625,
0.02197265625,
0.0208740234375,
0.04052734375,
0.08154296875,
-0.05322265625,
-0.0157470703125,
0.0419921875,
0.05126953125,
0.0296630859375,
-0.091796875,
-0... | 1,191 | 1191 | |
Homework Help
Posted by carl on Wednesday, August 17, 2011 at 12:48am.
A boat can travel 114 miles upstream
in the same time that it can travel 186 miles downstream.
If the speed of the current is 6 miles per hour,
find the speed of the boat without a current.
β’ algebra - carl, Wednesday, August 17, 2011 at 3:10... | 4 | [
-0.02783203125,
0.09814453125,
-0.01953125,
-0.0017242431640625,
-0.01068115234375,
0.004486083984375,
-0.07861328125,
0.0303955078125,
-0.11376953125,
-0.01287841796875,
0.035400390625,
-0.06298828125,
-0.0272216796875,
-0.00360107421875,
-0.019287109375,
0.09033203125,
-0.106445312... | 1,192 | 1192 | |
Please Help.Solving Rational Equation
November 8th 2006, 01:23 AM #1
Newbie
Joined
Nov 2006
Posts
9
Please Help.Solving Rational Equation
Please help me with this equations:
1.) 13/x^2-9x+14 = 5/x-3 + 3x-7/x^2+2x-15
2.) 3x/x+1 - 1/3 = 5/x+1
3.) 11/x+5 - 5/x-3 = 3x-7/x^2+2x-15
4.) 17/y... | 4 | [
-0.11376953125,
0.03759765625,
0.01055908203125,
0.04638671875,
0.00151824951171875,
0.0203857421875,
-0.034423828125,
-0.01806640625,
0.0260009765625,
-0.09375,
0.103515625,
-0.0380859375,
-0.00775146484375,
0.1103515625,
-0.038818359375,
0.07275390625,
-0.0380859375,
0.0136108398... | 1,193 | 1193 | |
2.1 Discrete-Time LTI Systems: The Convolution Sum
γ
Introduction
γ
The idea of discrete-time convolution is exactly the same as that of continuous-time convolution. For this reason, it may be useful to look at both versions to help your understanding of this
extremely important concept. Convolution is a very power... | 4 | [
-0.126953125,
0.0098876953125,
0.09375,
-0.0262451171875,
0.0712890625,
-0.0289306640625,
0.03173828125,
-0.0281982421875,
0.07373046875,
-0.04345703125,
0.01177978515625,
-0.0115966796875,
0.04150390625,
-0.0181884765625,
-0.1103515625,
-0.0673828125,
0.01397705078125,
0.006530761... | 1,194 | 1194 | |
Summing a series.
October 23rd 2005, 08:41 AM #1
Newbie
Joined
Oct 2005
Posts
4
Summing a series.
Sum the series
Sn = a + (a+d)r + (a+2d)r^2 + ... + [a+(n-1)d]r^(n-1)
n-1
Sum (a+nd)r^n
n=0
Presumably I need to split this up into a sum of ar^n and ndr^n
I have already summed ar... | 4 | [
-0.0439453125,
0.015625,
-0.024658203125,
-0.046875,
-0.0096435546875,
0.0299072265625,
-0.02197265625,
-0.07958984375,
0.00494384765625,
0.0400390625,
-0.0235595703125,
0.0262451171875,
-0.02099609375,
-0.007659912109375,
-0.02587890625,
0.0194091796875,
-0.007720947265625,
0.0225... | 1,195 | 1195 | |
Integrating using polar co-ordinates.
April 25th 2009, 08:59 AM #1
Integrating using polar co-ordinates.
I ran into some trouble with some integrals that use polar coordinates.
Change the following cartesian integrals into an equivalent polar integral. Then evaluate the polar integral.
Sounds fair!
... | 5 | [
0.01806640625,
-0.043212890625,
-0.040771484375,
-0.09814453125,
0.0106201171875,
-0.0233154296875,
-0.0390625,
0.049072265625,
-0.01312255859375,
0.0247802734375,
-0.08642578125,
0.1103515625,
-0.05908203125,
0.072265625,
0.0595703125,
0.0693359375,
-0.041259765625,
-0.0712890625,... | 1,196 | 1196 | |
Integration Question
April 22nd 2012, 05:23 PM
Ivanator27
Integration Question
Hi all,
Could someone please show me how to integrate:
[ ( 1 + 4kut ) ^1/2 ] / 2kt dt
I've tried everything, maybe I'm just being dim but I can't find a substitution that works and I can't do it by parts. (Doh)
April 22... | 5 | [
0.049072265625,
0.0205078125,
0.03955078125,
0.041015625,
-0.0537109375,
-0.07763671875,
-0.016845703125,
0.0869140625,
0.004150390625,
0.00109100341796875,
-0.0213623046875,
-0.03662109375,
-0.0380859375,
0.0301513671875,
-0.05859375,
0.04931640625,
-0.00787353515625,
0.0229492187... | 1,197 | 1197 | |
Probability of Rain occuring
May 1st 2007, 06:28 PM #1
Newbie
Joined
May 2007
Posts
5
If the probability of rain is 60% on each of three consecutive days, find:
1)the probability that it rains on all three days,
2)the probability that it rains on exactly two of the three days?
For number 1 my ... | 4 | [
0.036376953125,
-0.08837890625,
0.017822265625,
0.036376953125,
-0.0361328125,
0.033203125,
0.1162109375,
-0.078125,
0.01220703125,
0.041259765625,
0.005126953125,
-0.11083984375,
-0.0081787109375,
-0.0208740234375,
0.09033203125,
0.0184326171875,
-0.130859375,
-0.05419921875,
-0... | 1,198 | 1198 | |
Homework Help
Posted by Sejul on Monday, October 10, 2011 at 7:17am.
length of rectantular rug is 7/6 its width.
rug is placed on floor with 1 foot margin all around.
area of floor is 4 times that of margin.
find the dimensions of the room.
β’ algebra - Reiny, Monday, October 10, 2011 at 8:28am
length of rug... | 4 | [
0.0517578125,
0.050048828125,
0.035400390625,
0.0184326171875,
-0.037353515625,
0.05810546875,
-0.017333984375,
0.06494140625,
-0.044189453125,
0.00445556640625,
0.017333984375,
-0.04931640625,
0.00390625,
-0.01324462890625,
-0.08544921875,
0.02001953125,
-0.03173828125,
0.08398437... | 1,199 | 1199 |