content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Find Hourly Cost
November 11th 2008, 09:12 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find Hourly Cost
Ramón rented a sprayer and a generator. On his first job, he used each piece of equipment for 6 hours at a total cost of $90. On his second job, he used the sprayer for 4 hours and t... | 4 | [
-0.0244140625,
0.1279296875,
-0.0032958984375,
0.0203857421875,
0.0038909912109375,
-0.01446533203125,
-0.0025482177734375,
0.06396484375,
-0.06005859375,
0.051025390625,
0.004119873046875,
-0.0191650390625,
0.048095703125,
0.0166015625,
0.01708984375,
0.04541015625,
-0.12255859375,
... | 32,000 | 32000 | |
Mixing a uniform distribution with a normal distribution
July 8th 2011, 06:49 AM #1
Newbie
Joined
Sep 2009
Posts
11
Mixing a uniform distribution with a normal distribution
Here is my Problem.
Let X~Uniform(0,2) and Y~Normal(0,1) be independent random variables. Let
Z ={1 if X > Y
{2 if X <... | 5 | [
0.02734375,
0.0303955078125,
0.039306640625,
-0.072265625,
0.04150390625,
-0.0849609375,
0.035400390625,
-0.06640625,
-0.07275390625,
-0.004486083984375,
-0.047119140625,
0.00159454345703125,
0.10009765625,
0.0732421875,
0.049560546875,
-0.0303955078125,
0.00347900390625,
-0.018554... | 32,001 | 32001 | |
equivalent compounded monthly interest of a loan.
June 8th 2010, 07:15 PM #1
Newbie
Joined
Jun 2010
Posts
3
equivalent compounded monthly interest of a loan.
The equivalent annual rate of a 8% a compounded semi-annual loan is 8.16%((1.04)^2).What is the equivalent compounded monthly interest of this loan... | 4 | [
0.09423828125,
0.0296630859375,
0.0234375,
-0.021484375,
-0.0294189453125,
-0.0703125,
-0.09814453125,
0.0625,
-0.0189208984375,
0.04150390625,
0.0014495849609375,
-0.06787109375,
-0.038818359375,
0.012939453125,
0.03271484375,
0.01318359375,
-0.0634765625,
-0.016357421875,
-0.03... | 32,002 | 32002 | |
Homework Help
Posted by tia on Wednesday, April 16, 2008 at 8:28am.
Could somebody please check these for me?
Solve the differential equation with the given initial solution.
1. (dy/dx)=(-y/3)
for y(0)=10
my answer was y=10e^(-x/3)
2. dP/dt=P+4
for P(0)=100
my answer was P=104(e^t)-4
3. dz/dt=te^z
for z(0)=0
... | 5 | [
-0.09375,
0.0103759765625,
0.024169921875,
-0.048828125,
0.037109375,
-0.0322265625,
0.048828125,
0.0179443359375,
-0.07177734375,
0.0791015625,
0.1279296875,
-0.01165771484375,
0.034423828125,
0.09130859375,
-0.03564453125,
-0.01251220703125,
-0.0654296875,
-0.037353515625,
-0.0... | 32,003 | 32003 | |
continuous functions
November 5th 2007, 08:43 AM
MKLyon
continuous functions
These two problems appear in my textbook:
Give a function f: R to R continuous only at x = 0 and x = 1.
For this, let f(x) = x^2 if x is rational and x if x is irrational.
Then it is continuous only at x^2 = x which implie... | 5 | [
-0.029296875,
-0.002777099609375,
-0.07568359375,
0.10400390625,
-0.025634765625,
0.0859375,
0.056396484375,
-0.0341796875,
0.005218505859375,
-0.07861328125,
0.06982421875,
0.004730224609375,
0.038818359375,
0.1171875,
-0.0172119140625,
-0.02294921875,
-0.0201416015625,
-0.046875,... | 32,004 | 32004 | |
Exponent problem!!
Last edited by Revelsyn; October 13th 2008 at 07:18 AM.
$2^{-n} \left ( 2^n - 2^{1 + n} \right )$ First, note that multiplication is distributive over addition, so this is: $2^{-n} \left ( 2^n - 2^{1 + n} \right ) = 2^{-n} \cdot 2^n - 2^{-n} \cdot 2^{1 +
n}$ Now use the property that $a^x \cdot a^y ... | 4 | [
-0.0264892578125,
0.07177734375,
-0.0140380859375,
0.056640625,
0.03125,
-0.06298828125,
0.005859375,
0.06005859375,
-0.02734375,
-0.0185546875,
-0.00127410888671875,
-0.0712890625,
0.0250244140625,
0.031982421875,
-0.013671875,
0.055908203125,
-0.0673828125,
-0.0032501220703125,
... | 32,005 | 32005 | |
Difference Equations
November 17th 2010, 06:43 PM
veronicak5678
Difference Equations
The solution to du/dt = Au = [ 0 -1; 1 0] u (eigenvalues i and -i) goes around in a circle: u = (cos t, sin t). Suppose we approximate du/dt by forward, backward, and centered differences F, B,
and C:
(F) U(n+1) - U(n) =... | 4 | [
-0.10205078125,
0.055419921875,
-0.05078125,
-0.00092315673828125,
0.0010833740234375,
-0.003692626953125,
-0.046630859375,
-0.0233154296875,
0.0228271484375,
-0.02490234375,
0.04345703125,
-0.029541015625,
-0.052001953125,
-0.020751953125,
0.0015106201171875,
-0.054443359375,
-0.027... | 32,006 | 32006 | |
[SOLVED] Consumer Mathematics
January 31st 2009, 11:46 PM #1
Junior Member
Joined
Sep 2008
Posts
73
[SOLVED] Consumer Mathematics
I placed $1200 in an bank investment which paid 8% p.a compound interest. At the same time, I placed $1800 in a bank which paid 4% p.a compound interest. During which year wou... | 4 | [
0.056640625,
0.049560546875,
-0.06396484375,
-0.054443359375,
-0.08935546875,
-0.057861328125,
0.00634765625,
0.091796875,
-0.02587890625,
0.0263671875,
-0.020751953125,
0.01348876953125,
0.0284423828125,
0.09814453125,
0.06494140625,
0.0654296875,
-0.09228515625,
0.0634765625,
-... | 32,007 | 32007 | |
values of k
September 24th 2009, 01:11 AM #1
Member
Joined
Aug 2009
Posts
211
values of k
hi, i'm stuck on a question and would like some help please:
find the values for k for which the quadratic equation $3x^2 + (6 - k)x + 12 = 0$ has equal roots. i used the discriminant theory and got it to $\sqr... | 4 | [
0.0262451171875,
0.007598876953125,
-0.033203125,
-0.026123046875,
-0.11767578125,
0.08203125,
0.01043701171875,
-0.0034027099609375,
0.035888671875,
0.0184326171875,
0.06689453125,
0.0238037109375,
0.007598876953125,
-0.0228271484375,
-0.03271484375,
0.0076904296875,
-0.012573242187... | 32,008 | 32008 | |
ng
Narrow Search
Earth and space science
Mathematics
Sort by:
Per page:
Now showing results 11-19 of 19
In this activity students add and subtract log distances on their Log Tapes to discover that the corresponding numbers multiply and divide. This will lead them to an experiential understanding of the
laws of lo... | 4 | [
-0.03955078125,
0.01171875,
0.00092315673828125,
-0.00096893310546875,
-0.02978515625,
-0.10205078125,
0.029541015625,
0.09375,
0.0191650390625,
0.0703125,
0.0098876953125,
0.032470703125,
-0.04345703125,
0.0869140625,
-0.0296630859375,
-0.08056640625,
-0.1083984375,
0.049072265625... | 32,009 | 32009 | |
Homework Help
Posted by Terry B on Sunday, April 6, 2008 at 9:57pm.
Please check my work, thank you
If $7,800 is deposited into an account paying 6% interest compounded annually (at the end of each year), how much money is in the account after 2 years?
A=$8,268.00
Rewrite the statement, using percent notation. Out ... | 4 | [
0.0986328125,
0.0213623046875,
-0.00360107421875,
0.000885009765625,
-0.034423828125,
-0.06982421875,
0.000720977783203125,
0.020751953125,
-0.01611328125,
0.11572265625,
-0.01220703125,
-0.058349609375,
0.03173828125,
0.0400390625,
0.031494140625,
0.057861328125,
-0.1015625,
-0.04... | 32,010 | 32010 | |
Galois theory
December 28th 2008, 11:44 AM #1
Member
Joined
Aug 2008
Posts
97
Galois theory
Please help me with the following question.
Let $f(x)$ be n-th degree irreducible polynomial in $\mathbb Q[x].$ And let $a_i$ for $i\in [1,n]$ be the roots of $f(x).$ and for each $a_i$ let $d_i(f)$ be the ro... | 5 | [
-0.02587890625,
-0.00897216796875,
0.03173828125,
-0.012939453125,
-0.046142578125,
0.032958984375,
0.06982421875,
0.0625,
0.038818359375,
-0.07861328125,
0.0517578125,
-0.044677734375,
0.0184326171875,
-0.0113525390625,
-0.044189453125,
0.048583984375,
-0.0625,
0.00017356872558593... | 32,011 | 32011 | |
Homework Help
Posted by Spy[c] on Wednesday, September 22, 2010 at 10:23pm.
Solving Trig Functions: How Do You Solve For Sin 7.5 Using Half-Angle and Double-Angle Identities?
• trig - MathMate, Wednesday, September 22, 2010 at 11:04pm
Formulas to remember:
sin(2a)=2sin(a)cos(a)
cos(2a)=cos²(a)-sin²(a)... | 4 | [
-0.142578125,
0.03857421875,
0.0732421875,
0.03369140625,
-0.0020599365234375,
0.0111083984375,
-0.03125,
0.03369140625,
0.0206298828125,
0.07275390625,
0.06494140625,
-0.0810546875,
-0.04931640625,
0.059326171875,
0.03173828125,
0.00604248046875,
-0.06494140625,
0.0196533203125,
... | 32,012 | 32012 | |
arithmetic-geometric series
February 5th 2007, 05:01 PM
kcsteven
arithmetic-geometric series
The general arithmetic-geometric series of n terms is a series of the form:
a + (a+d)r + (a + 2d)r^2 + ... +[a + (n - 1)d]r^n-1 Where the first factors of each term form an arithmetic series and the second factors fo... | 5 | [
-0.0478515625,
0.01007080078125,
-0.0213623046875,
-0.029296875,
0.00012111663818359375,
0.042236328125,
-0.0546875,
-0.01165771484375,
0.033447265625,
0.06494140625,
-0.05322265625,
0.019775390625,
0.032470703125,
0.0272216796875,
0.0281982421875,
-0.035400390625,
-0.02587890625,
... | 32,013 | 32013 | |
Transforming the Normal distribution
November 26th 2009, 04:51 PM #1
Transforming the Normal distribution
$X$ is a standard normal random variable. Show that the PDF of $Z=(X+1)^2$ is
$(8\pi z)^{-\frac{1}{2}}e^{-\frac{1}{2}(z+1)}\left(e^{\sqrt{z}}+e^{-\sqrt{z}}\right)$
I've tried this loads of times but... | 5 | [
-0.033203125,
0.05029296875,
0.044921875,
0.01708984375,
0.007171630859375,
-0.05322265625,
-0.05615234375,
0.0228271484375,
0.021728515625,
0.052734375,
0.060546875,
0.0120849609375,
0.040771484375,
0.0537109375,
-0.028564453125,
-0.0830078125,
0.00457763671875,
-0.0576171875,
-... | 32,014 | 32014 | |
Co-induction understanding
up vote 10 down vote favorite
5
Hi,
I am studying coinduction(not induction) as part of a class on static analysis. Rummaging around the internet, I am simply not finding a clear, concise description of:
• How coinduction actually proves something(it seems that coinduction is like waving... | 5 | [
-0.07373046875,
0.05859375,
0.0230712890625,
0.0028839111328125,
-0.0235595703125,
0.062255859375,
0.015869140625,
0.06396484375,
0.0240478515625,
0.1083984375,
-0.005157470703125,
-0.048828125,
-0.008544921875,
0.016357421875,
0.04638671875,
0.0230712890625,
0.00537109375,
-0.0015... | 32,015 | 32015 | |
Please help me with these problems.
February 8th 2008, 04:40 AM
blertta
Please help me with these problems.
1)Prove that if n is an odd positive integer, then
N = 2269n + 1779n + 1730n ¡ 1776n
is an integer multiple of 2001... 2)Factor the expression
30(a2 + b2 + c2 + d2) + 68ab ¡ 75ac ¡ 156ad ¡ 61bc... | 4 | [
-0.09521484375,
0.07373046875,
0.058837890625,
0.01409912109375,
0.04638671875,
0.1015625,
0.051025390625,
0.0272216796875,
-0.06298828125,
-0.032958984375,
0.010498046875,
-0.0142822265625,
0.0184326171875,
-0.004150390625,
-0.06298828125,
0.029052734375,
-0.0546875,
-0.0104980468... | 32,016 | 32016 | |
Discrete Valuation Rings
Maybe this title isn’t exactly what the post is about, but today will mostly be a hodgepodge attempt to get some more out there. I’m not sure what else to do with regular local rings (other than
systems of parameters which I’m not too excited to post on), so I’ll move on. The next set of theore... | 5 | [
0.0054931640625,
0.078125,
-0.027099609375,
-0.0296630859375,
-0.01708984375,
-0.042236328125,
0.01251220703125,
-0.05029296875,
0.01251220703125,
-0.054443359375,
0.006988525390625,
-0.0245361328125,
-0.01025390625,
-0.0341796875,
-0.048828125,
0.0634765625,
0.04345703125,
0.02624... | 32,017 | 32017 | |
Prove an Equation involving Square Roots
Proof $<br /> \frac{a-1}{2 } \sqrt{\frac{a+1}{a-1 } } +\frac{a+1}{2 } \sqrt{\frac{a-1}{a+1 } } = \sqrt{a^2-1} <br />$ fankyou.
Last edited by BabyMilo; June 10th 2011 at 11:06 AM.
I believe that there is a horrible typo in the question: it should be $\frac{a-1}{2 } \sqrt{\frac... | 4 | [
-0.045654296875,
-0.04443359375,
0.06396484375,
0.034423828125,
-0.05126953125,
-0.0299072265625,
-0.1416015625,
0.01043701171875,
0.02783203125,
0.0732421875,
0.0218505859375,
0.0341796875,
0.03369140625,
0.06591796875,
-0.0380859375,
0.02197265625,
0.03369140625,
-0.03271484375,
... | 32,018 | 32018 | |
Gcd, Euclidean Algorithm, Polynomials
October 21st 2006, 02:14 PM
JaysFan31
Gcd, Euclidean Algorithm, Polynomials
Find the GCD using the Euclidean Algorithm of
(4x^4)+(2x^3)+(6x^2)+4x+5
and
(3x^3)+(5x^2)+6x
in Z7[x].
So I divided the polynomials and kept getting ridiculously complex fraction... | 5 | [
-0.08056640625,
-0.017822265625,
-0.09814453125,
0.0361328125,
0.0257568359375,
-0.095703125,
0.00567626953125,
-0.0308837890625,
-0.0208740234375,
-0.00148773193359375,
-0.025390625,
0.02392578125,
0.08203125,
0.017822265625,
-0.052978515625,
0.0020599365234375,
-0.0166015625,
0.0... | 32,019 | 32019 | |
[SOLVED] Difference of cubes
Hello,That's the sum of cubes (Rofl) Well, well... The formula is $x^3+y^3=(x+y)(x^2-xy+y^2)$ If you cant remember it, start from $(x+y)^3$ and develop it ;) Solving for it... ? Not impossible. Note
that $208=2^4*13$ Since x and y are natural numbers, $x+y>0$ and $x^2-xy+y^2>0$ are integers... | 4 | [
0.00408935546875,
0.083984375,
-0.134765625,
0.0257568359375,
0.01434326171875,
-0.02099609375,
0.025634765625,
-0.03271484375,
-0.018310546875,
-0.09326171875,
0.032470703125,
-0.005157470703125,
0.01300048828125,
-0.01361083984375,
0.11474609375,
0.01007080078125,
-0.0537109375,
... | 32,020 | 32020 | |
intergral of e^x / (1-2e^x)^3 dx help
April 5th 2012, 08:23 AM #1
Junior Member
Joined
Apr 2012
From
west midlands
Posts
26
intergral of e^x / (1-2e^x)^3 dx help
e^x / (1-2e^x)^3 dx
i replaced (1-2e^x) with a random letter in my case i used "p"
i ended up with the answer: 1 / 4(1-2e^x)² + C... | 5 | [
-0.006805419921875,
-0.031494140625,
0.031494140625,
-0.043212890625,
0.0067138671875,
-0.054931640625,
0.0054931640625,
-0.01177978515625,
-0.0206298828125,
0.037109375,
0.03662109375,
-0.0303955078125,
0.03857421875,
-0.0018768310546875,
0.002838134765625,
-0.052978515625,
0.078613... | 32,021 | 32021 | |
Wolfram Demonstrations Project
Resonance Lineshapes of a Driven Damped Harmonic Oscillator
The plots show (solid lines) the frequency dependence of the amplitude, the phase, the in-phase component, and the quadrature component of a driven damped harmonic oscillator. The variable parameter
is the quality factor
Q
of ... | 4 | [
-0.09619140625,
0.0201416015625,
0.053466796875,
0.05322265625,
-0.16015625,
-0.007049560546875,
-0.099609375,
0.01171875,
0.0301513671875,
-0.055908203125,
0.0260009765625,
-0.0196533203125,
0.07275390625,
-0.07373046875,
-0.0024871826171875,
0.06640625,
0.031982421875,
0.01770019... | 32,022 | 32022 | |
more challenging related rates cone problem
October 27th 2007, 10:22 AM #1
more challenging related rates cone problem
Everyone has seen the old, cliche related rates problem where a cone is being filled with water. How fast is the height of the water changing at the instant the water is h units deep...yada,
... | 5 | [
0.01544189453125,
0.0031585693359375,
0.01483154296875,
-0.0439453125,
-0.040283203125,
-0.048583984375,
-0.02294921875,
0.05712890625,
0.0238037109375,
0.017333984375,
-0.0194091796875,
0.010009765625,
-0.035888671875,
0.095703125,
-0.01519775390625,
0.02490234375,
-0.058349609375,
... | 32,023 | 32023 | |
Navy Electricity and Electronics Training Series (NEETS)
Module 8—Introduction to Amplifiers
Pages
i - ix
,
1-1 to 1-10
,
1-11 to 1-20
,
1-21 to 1-30
,
1-31 to 1-40
,
2-1 to 2-10
,
2-11 to 2-20
,
2-21 to 2-30
,
2-31 to 2-35
,
3-1 to 3-10
,
3-11 to 3-20
,
3-21 to 3-30
,
3-31 to 3-40
,
3-41 to... | 4 | [
-0.1162109375,
0.0128173828125,
-0.01177978515625,
-0.0245361328125,
0.032470703125,
0.0255126953125,
-0.0125732421875,
0.072265625,
-0.05126953125,
0.015869140625,
-0.00162506103515625,
-0.0751953125,
0.041259765625,
0.0128173828125,
-0.031982421875,
0.07958984375,
-0.078125,
0.05... | 32,024 | 32024 | |
Inverse functions + derivative
March 18th 2009, 04:05 AM #1
Junior Member
Joined
Jan 2008
Posts
35
Inverse functions + derivative
Hi, I have a question that is troubling me:
Given that for f: R -> R such that f(x) = 2 x + cos x, find g' (1) where g is the inverse of f.
I've tried trying to find... | 5 | [
-0.0859375,
-0.0615234375,
0.047119140625,
0.0556640625,
0.033203125,
-0.07666015625,
0.027099609375,
0.030029296875,
-0.044677734375,
0.099609375,
0.005218505859375,
0.00860595703125,
0.031494140625,
-0.03955078125,
0.0272216796875,
0.0029449462890625,
-0.01104736328125,
0.0015182... | 32,025 | 32025 | |
Details
Hewlett-Packard HP-97
Datasheet legend
Ab/c: Fractions calculation
AC: Alternating current
BaseN: Number base calculations
Card: Magnetic card storage
Cme... | 5 | [
-0.04541015625,
0.04443359375,
-0.07861328125,
0.007598876953125,
-0.0223388671875,
-0.0157470703125,
-0.044189453125,
0.0830078125,
-0.007568359375,
-0.048095703125,
-0.0005340576171875,
-0.037353515625,
-0.0230712890625,
0.03271484375,
-0.10546875,
0.03466796875,
0.0277099609375,
... | 32,026 | 32026 | |
gradient of a curve
January 9th 2009, 02:39 PM #1
Junior Member
Joined
Jul 2008
From
Cyprus
Posts
45
gradient of a curve
Find the gradient of the curve y=2x^3 - 5x^2 + 46x + 87 at the point where it crosses the x axis.
I'm having real problems with this one as all the examples i've done before h... | 5 | [
-0.055419921875,
-0.0830078125,
-0.042724609375,
-0.01055908203125,
0.043701171875,
0.078125,
-0.000782012939453125,
0.054443359375,
0.005279541015625,
-0.0732421875,
0.0849609375,
0.0291748046875,
0.05029296875,
0.0146484375,
0.0361328125,
0.078125,
-0.056640625,
-0.04931640625,
... | 32,027 | 32027 | |
Details
Citizen SRP-265
Datasheet legend
Ab/c: Fractions calculation
AC: Alternating current
BaseN: Number base calculations
Card: Magnetic card storage
... | 5 | [
-0.06591796875,
0.052978515625,
-0.083984375,
0.006317138671875,
-0.00970458984375,
0.00982666015625,
-0.0419921875,
0.11474609375,
-0.004486083984375,
0.01190185546875,
-0.0128173828125,
-0.0703125,
0.02490234375,
0.0191650390625,
-0.06005859375,
0.0172119140625,
0.00037765502929687... | 32,028 | 32028 | |
Positive integer proof
August 2nd 2010, 07:45 AM #1
Positive integer proof
If $n$ is a natural number, then
$(2003 + \frac{1}{2})^n + (2004 + \frac{1}{2})^n$ is a positive integer:
A) when $n$ is even
B) when $n$ is odd
C) only when $n=117$ or $n=119$
D) only when $n=1$ or $n=3$
========... | 5 | [
-0.003753662109375,
0.036376953125,
0.0159912109375,
0.0174560546875,
0.099609375,
0.0537109375,
-0.0115966796875,
0.087890625,
-0.028564453125,
0.0205078125,
-0.037109375,
-0.052978515625,
0.01025390625,
0.007598876953125,
-0.00823974609375,
0.0164794921875,
-0.0361328125,
0.02770... | 32,029 | 32029 | |
Hyperbolic functions
November 1st 2009, 05:21 AM #1
Member
Joined
Dec 2008
Posts
105
Hyperbolic functions
Hi,
I'm having problem with this question:
If $y = \cosh(x)$ for x > 0, find x in terms of y and hence show that $\cosh^{-1}x = \ln (x + \sqrt{x^2-1})$. State the domain and range of the fu... | 5 | [
0.03369140625,
-0.016357421875,
0.05908203125,
-0.060546875,
0.033203125,
-0.06982421875,
-0.0206298828125,
-0.02197265625,
-0.037353515625,
-0.0299072265625,
0.11474609375,
0.00188446044921875,
-0.0283203125,
0.058349609375,
-0.010986328125,
0.0022430419921875,
0.009765625,
-0.120... | 32,030 | 32030 | |
formula sets. proof: if Γ subset Σ => Γ = Σ
November 22nd 2011, 09:18 AM #1
Newbie
Joined
Nov 2011
Posts
7
formula sets. proof: if Γ subset Σ => Γ = Σ
Γ and Σ are formula sets. Σ is satisfieable., and for every formula θ applies θ $\in$ Γ or $eg$θ $\in$ Γ. Proof Γ $\subseteq$ Σ => Γ = Σ
I dont kn... | 5 | [
-0.09912109375,
-0.03369140625,
0.07177734375,
-0.023681640625,
-0.0087890625,
0.0830078125,
0.08349609375,
0.076171875,
-0.0198974609375,
-0.01513671875,
-0.04638671875,
0.00927734375,
0.0732421875,
-0.0010528564453125,
0.00653076171875,
-0.0140380859375,
0.0966796875,
0.015014648... | 32,031 | 32031 | |
Math Help
January 28th 2013, 08:02 AM #1
Member
Joined
Oct 2012
From
Istanbul
Posts
181
Thanks
1
need help
There are 3 cars going on a autobahn. At the end of the autobahn there are 3 turnpikes. What is the probability that one of them will pass through a different turnpike than the others and t... | 4 | [
0.0093994140625,
-0.10400390625,
-0.03466796875,
-0.0634765625,
-0.1025390625,
0.00537109375,
0.06640625,
-0.0279541015625,
-0.01397705078125,
-0.003082275390625,
0.00701904296875,
-0.07275390625,
-0.01177978515625,
0.0211181640625,
0.00482177734375,
0.024169921875,
-0.053466796875,
... | 32,032 | 32032 | |
Trial & Improvement
June 10th 2007, 03:59 AM
Danielisew
Trial & Improvement
I don't know where to start :D
I started at 1.5, and i think i was doing the calculations wrong..
You can use a calculator for this:
Q1: The equation x^3 + 10x = 21
has a solution between 1 and 2
Use a trial and im... | 4 | [
0.00799560546875,
0.032958984375,
0.06640625,
0.0155029296875,
0.01104736328125,
-0.026611328125,
-0.0157470703125,
0.09375,
-0.00970458984375,
0.024658203125,
0.0517578125,
-0.036376953125,
0.041259765625,
0.0322265625,
0.00112152099609375,
0.003082275390625,
-0.00927734375,
0.065... | 32,033 | 32033 | |
Homework Help
Posted by Brianna on Friday, May 11, 2012 at 7:54pm.
An archer puts a 0.26-kg arrow to the bow-string. An average force of 200 N is exerted to draw the string back 1.4 m.
(a) Assuming no frictional loss, with what speed does the arrow leave the bow?
m/s
(b) If the arrow is shot straight up, how high d... | 4 | [
0.05224609375,
-0.000263214111328125,
0.025390625,
0.0238037109375,
-0.07177734375,
0.038330078125,
-0.005218505859375,
0.095703125,
-0.02490234375,
0.027099609375,
0.0255126953125,
0.00185394287109375,
-0.0247802734375,
0.0118408203125,
-0.0966796875,
0.123046875,
0.02685546875,
0... | 32,034 | 32034 | |
Two fair dice are thrown. Prob of event A.
March 16th 2011, 01:44 AM
SolCon
Two fair dice are thrown. Prob of event A.
Hi to all.
Simple question but answer seems to be coming wrong.
Question says:
Two fair dice are thrown.
(i) Event A is ‘the scores differ by 3 or more’. Find the probability... | 4 | [
0.0262451171875,
-0.03955078125,
0.005950927734375,
-0.08984375,
-0.047607421875,
0.0380859375,
0.031982421875,
0.032470703125,
0.09619140625,
0.043212890625,
-0.03125,
-0.01190185546875,
0.03662109375,
-0.0198974609375,
-0.00909423828125,
0.003204345703125,
-0.07373046875,
-0.0211... | 32,035 | 32035 | |
the encyclopedic entry of jaboulay's method
In
numerical analysis
,
Newton's method
(also known as the
Newton–Raphson method
, named after
Isaac Newton
and
Joseph Raphson
) is perhaps the best known method for finding successively better approximations to the zeros (or
roots
) of a
real
-valued
function
... | 5 | [
-0.095703125,
-0.020263671875,
-0.0771484375,
0.0166015625,
-0.050537109375,
-0.0673828125,
-0.10986328125,
0.07568359375,
0.0322265625,
0.034912109375,
0.03173828125,
0.068359375,
0.02099609375,
0.03076171875,
-0.06640625,
-0.04541015625,
0.00799560546875,
-0.003021240234375,
0.... | 32,036 | 32036 | |
Rolle's Theorem
February 27th 2010, 09:25 AM
MatthewD
Rolle's Theorem
I'm really stuck on this problem...
If I let the function:
f : I→ I be continuous on I and differentiable on the open set I
for I := [0,1]
I know that theres at least 1 point t ∈ [0, 1] such that f(t) = t.
Now I need t... | 4 | [
-0.033935546875,
-0.0064697265625,
0.03759765625,
-0.03857421875,
-0.031982421875,
-0.03662109375,
0.13671875,
0.07080078125,
0.050048828125,
-0.00885009765625,
-0.01025390625,
-0.01385498046875,
0.1357421875,
0.0244140625,
-0.04833984375,
-0.0224609375,
-0.052490234375,
-0.0417480... | 32,037 | 32037 | |
Solving for sin(x)
July 23rd 2011, 12:47 PM #1
Newbie
Joined
Jul 2011
Posts
16
Solving for sin(x)
Given that $\tan(x) = \frac{2}{3}\mbox{ and } \pi<x<\frac{3\pi}{2} \mbox{, find }\sin(x)\\$
I know that $\pi<x<\frac{3\pi}{2}$ puts $x$ in Quadrant III in the unit circle, but I don't see how that helps... | 4 | [
-0.10498046875,
-0.06591796875,
-0.0235595703125,
0.0390625,
-0.08056640625,
0.002197265625,
-0.03076171875,
0.0020751953125,
0.0419921875,
-0.0002841949462890625,
0.0238037109375,
-0.064453125,
-0.002044677734375,
-0.024658203125,
0.1103515625,
-0.03515625,
0.06982421875,
0.023193... | 32,038 | 32038 | |
Homework Help
Posted by William on Friday, January 1, 2010 at 10:23pm.
For which equasion does the sum of the roots equal 3/4 and the product of the roots equal -2?
(a)4x^2-8x+3=0
(b)4x^2+8x+3=0
(c)4x^2-3x-8=0
(d)4x^2+3x-2=0
• Triginometry - MathMate, Friday, January 1, 2010 at 10:53pm
For the general quad... | 4 | [
-0.072265625,
0.040771484375,
0.033447265625,
0.020263671875,
-0.07666015625,
0.0859375,
0.01153564453125,
0.06640625,
0.05224609375,
-0.031494140625,
0.050537109375,
-0.09814453125,
0.0400390625,
0.04541015625,
-0.03369140625,
0.05615234375,
0.00390625,
0.02001953125,
-0.0444335... | 32,039 | 32039 | |
Integration using a given substitution.
February 11th 2013, 12:34 PM #1
Integration using a given substitution.
Hello,
I have to solve the following using the given substitution:
$\int\dfrac{1}{1 + \sqrt{x - 1}} dx$
Using the substitution:
$u^2 = x - 1$
Which differentiating implicitly gi... | 5 | [
-0.00982666015625,
-0.01348876953125,
0.08642578125,
0.02294921875,
-0.04541015625,
-0.0654296875,
-0.006256103515625,
0.0029449462890625,
-0.054443359375,
-0.00970458984375,
0.050537109375,
-0.0458984375,
-0.0771484375,
0.050537109375,
-0.0751953125,
-0.00897216796875,
0.02722167968... | 32,040 | 32040 | |
College/Highschool algebra
August 23rd 2007, 08:55 AM #1
Newbie
Joined
Aug 2007
Posts
8
College/Highschool algebra
Basically I completly forgotten how to do these stuff, first 3 is to do them and make them as simple as possible, the other two is just to solve the equations.
1) $\displaystyle \frac{x... | 4 | [
-0.06005859375,
0.0169677734375,
-0.03271484375,
0.0322265625,
-0.06689453125,
0.004180908203125,
0.006134033203125,
-0.04833984375,
-0.035400390625,
0.00927734375,
0.021484375,
-0.09716796875,
0.017333984375,
-0.024658203125,
0.059814453125,
0.140625,
-0.04638671875,
0.0908203125,... | 32,041 | 32041 | |
Angular Beamforming Technique for MIMO Beamforming System
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 638150, 10 pages
http://dx.doi.org/10.1155/2012/638150
Research Article
Angular Beamforming Technique for MIMO Beamforming System
School of Telecommunication Engineering, Surana... | 4 | [
-0.01226806640625,
0.0341796875,
-0.07421875,
-0.040283203125,
-0.0595703125,
-0.032470703125,
-0.055419921875,
0.0224609375,
-0.0537109375,
0.0205078125,
0.0189208984375,
0.09521484375,
0.0189208984375,
-0.002838134765625,
-0.0003376007080078125,
0.00167083740234375,
0.05078125,
0... | 32,042 | 32042 | |
problem on Fourier transforms
I need some help with this also: Prove that : FourierTransform[e^(-ax^2)]=(sqrt[Pi/a]) e^(-ω^2/4a)
Put $<br /> f(x)=e^{-ax^2}<br />$ Differentiate: $<br /> \frac{df}{dx}=-2 a x f(x)<br />$ Now take FTs of both sides and apply the derivative rules to the forward and backwards transform: $<... | 5 | [
-0.0146484375,
-0.008056640625,
0.07470703125,
0.0057373046875,
-0.026123046875,
0.0546875,
-0.0869140625,
0.003631591796875,
0.042724609375,
0.08154296875,
0.1494140625,
-0.027099609375,
0.00787353515625,
-0.0380859375,
0.09228515625,
0.01226806640625,
-0.044921875,
-0.02001953125... | 32,043 | 32043 | |
weibull parameter
October 30th 2008, 11:21 AM #1
weibull parameter
Hi All..
I wanted to know how do you make the Weibull equation below into the form y=mx+c. The solution to this has the logs taken twice..
$P_f= 1 - exp\left[-\left(\frac{\sigma}{\sigma{_0}}\right)^m\right]$
Thank you
This is t... | 5 | [
-0.0380859375,
-0.013916015625,
0.03271484375,
0.0947265625,
0.024658203125,
0.0017242431640625,
0.030517578125,
0.038818359375,
0.0439453125,
-0.0289306640625,
0.08837890625,
-0.06591796875,
0.08935546875,
-0.0673828125,
0.0281982421875,
0.026123046875,
-0.0888671875,
-0.055664062... | 32,044 | 32044 | |
Show that sys. of eq. has no integer solutions
August 6th 2012, 01:41 AM
MathCrusader
Show that sys. of eq. has no integer solutions
I'm to show that the system of equations below has no integer solutions.
$\begin{cases} 11x - 5y = 7 \: & (\text {I})\\9x + 10y = -3 \: & (\text {II}) \end{cases}$
Reduci... | 4 | [
-0.0888671875,
0.0006103515625,
0.04345703125,
-0.0166015625,
0.1064453125,
0.017333984375,
0.125,
0.0289306640625,
-0.08984375,
-0.029052734375,
0.0106201171875,
-0.029296875,
0.0341796875,
0.057373046875,
0.0014495849609375,
-0.04736328125,
-0.01483154296875,
-0.05908203125,
0.... | 32,045 | 32045 | |
vertices of a square, coordinate geometry and differentiation
January 5th 2012, 10:20 PM #1
vertices of a square, coordinate geometry and differentiation
The origin O and a point B(p, q) are opposite vertices of the square OABC. Find the coordinates of the point A and C
A line l has gradient q/p. Find possibl... | 4 | [
-0.061767578125,
0.048095703125,
0.009521484375,
-0.0556640625,
-0.036865234375,
0.09375,
-0.02392578125,
0.046142578125,
0.0306396484375,
-0.01361083984375,
0.056884765625,
-0.0037994384765625,
0.0308837890625,
0.061767578125,
-0.0103759765625,
0.1015625,
-0.07568359375,
0.0008697... | 32,046 | 32046 | |
Proving a result.
October 9th 2010, 12:40 AM #1
Member
Joined
May 2008
Posts
140
Proving a result.
I've come across this question and was wondering how to prove it, particularly since the book from which the question has come from assumes no knowledge of calculus.
The equation of a straight line is ... | 4 | [
-0.05126953125,
0.051513671875,
-0.06201171875,
0.08984375,
-0.037841796875,
0.02001953125,
-0.01153564453125,
-0.017333984375,
0.049560546875,
-0.046142578125,
0.0400390625,
0.0263671875,
0.014404296875,
0.058837890625,
-0.0038299560546875,
0.043701171875,
-0.140625,
-0.0125122070... | 32,047 | 32047 | |
the encyclopedic entry of consistency
In logic, a theory is consistent if it does not contain a contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory
is consistent if it has a model; this is the sense used in traditional Aristotelian ... | 4 | [
0.025390625,
-0.06396484375,
-0.05517578125,
-0.0390625,
-0.048095703125,
-0.059814453125,
-0.0179443359375,
0.0269775390625,
-0.00531005859375,
-0.015625,
-0.01446533203125,
0.08203125,
0.10107421875,
0.050537109375,
-0.009765625,
-0.029541015625,
-0.0103759765625,
-0.00341796875,... | 32,048 | 32048 | |
[SOLVED] integrating
How do you integrate 1) (1/30) e^(-x/30) 2) 1 - (25/x^2) Thanks!!
1) $\int \frac{1}{30}e^{-x/30} dx$ Let y = -x/30, then dy = -dx/30. $\int \frac{1}{30}e^{-x/30} dx = \frac{1}{30} \int e^y (-30dy)= -e^y + C = -e^{-x/30} + C$ 2) $\int \left ( 1 - \frac{25}{x^2} \
right ) dx = \int \, dx - \frac{1}{... | 5 | [
-0.030029296875,
-0.00445556640625,
0.051513671875,
-0.048095703125,
0.03466796875,
-0.053955078125,
-0.0262451171875,
0.06103515625,
-0.048583984375,
0.0184326171875,
0.06640625,
-0.11328125,
-0.0179443359375,
0.039306640625,
-0.00020122528076171875,
0.01263427734375,
0.006652832031... | 32,049 | 32049 | |
simple Agebra
November 14th 2007, 12:17 PM #1
Newbie
Joined
Nov 2007
Posts
2
simple Agebra
Hi, Am working my way through some algebra problems and am quite stumped in my attempt to simplfy at this point!
((9/x)= 5/(x-3)) = (x(9/x))=(x(5/(x-3))
= (9 = 5x/(x-3))
NB; x= 6+ 3/4.
Hello, nn... | 4 | [
-0.0673828125,
-0.006866455078125,
0.052490234375,
-0.04541015625,
-0.048095703125,
0.033203125,
0.0194091796875,
-0.0269775390625,
0.004852294921875,
-0.0155029296875,
0.10302734375,
-0.1064453125,
-0.000553131103515625,
0.0556640625,
0.01275634765625,
0.04833984375,
-0.051025390625... | 32,050 | 32050 | |
powers and factorials
January 22nd 2009, 10:52 PM
thippli
powers and factorials
let $p, r_1 ,r_2,s_1,s_2$ be positive integers with
$p>1 ; r_1 < r_2$ and $s_1<s_2$ then
(1) $p^{r_1}+ p^{r_2}= p^{s_1}+ p^{s_2}$
if and only if $r_i = s_i$, $i=1,2$ .
(2) $r_1r_1!+ r_2 r_2!= s_1 s_1!+ s_2s_2!$
... | 4 | [
-0.0167236328125,
-0.059326171875,
-0.041015625,
0.00165557861328125,
0.056396484375,
0.005340576171875,
0.07177734375,
0.046875,
-0.0137939453125,
0.0167236328125,
-0.02490234375,
0.0218505859375,
0.06787109375,
0.007354736328125,
0.032958984375,
0.021728515625,
-0.047119140625,
0... | 32,051 | 32051 | |
Math Help
March 15th 2008, 02:20 PM #1
Newbie
Joined
Mar 2008
Posts
8
Algebra
An electrical technician needs electrical tape and wire for his inventory. The tape costs $9 per package and the wire costs $6 per roll. Show the possible combinations of tape and wire he can
purchase for less than $54.
... | 4 | [
-0.0057373046875,
0.064453125,
-0.0224609375,
-0.08544921875,
-0.0458984375,
0.062255859375,
0.0068359375,
0.07666015625,
-0.08740234375,
0.01373291015625,
-0.01708984375,
0.0255126953125,
0.046875,
0.061767578125,
0.0634765625,
0.072265625,
-0.0595703125,
0.0086669921875,
-0.051... | 32,052 | 32052 | |
Finding the common ratio of G.P.
July 8th 2012, 12:04 PM #1
Finding the common ratio of G.P.
Hello,
I am struggling with the following question: 'The third, fifth and seventeenth terms of an A.P. are in geometric progression. Find the common ratio of the G.P.
I have done the following:
Let the thir... | 4 | [
-0.06982421875,
0.035888671875,
0.0186767578125,
-0.1064453125,
-0.0458984375,
-0.020263671875,
-0.047607421875,
-0.028076171875,
-0.0133056640625,
0.00811767578125,
0.05908203125,
0.033447265625,
-0.044677734375,
0.1123046875,
0.0079345703125,
0.0283203125,
-0.046630859375,
0.0756... | 32,053 | 32053 | |
5. Harmonic Analysis
Recall the Fourier series (that we met in Full Range Fourier Series):
`f(t)=(a_0)/2sum_(n=1)^ooa_n\ cos\ nt+sum_(n=1)^oob_n\ sin\ nt`
`=(a_0)/2+a_1\ cos\ t` ` +\ a_2\ cos\ 2t` ` +\ a_3\ cos\ 3t+... ` ` +\ b_1\ sin\ t` `+\ b_2\ sin\ 2t` ` +\ b_3\ sin\ 3t+...`
We can re-arrange this series and wr... | 4 | [
-0.1357421875,
0.033935546875,
-0.023681640625,
-0.002655029296875,
-0.0007171630859375,
0.10986328125,
-0.054443359375,
0.017822265625,
0.01312255859375,
0.04736328125,
0.0230712890625,
-0.15234375,
-0.006622314453125,
-0.07666015625,
-0.00848388671875,
0.0166015625,
-0.07958984375,... | 32,054 | 32054 | |
Mechanics of a ball sliding and rolling
1. The problem statement, all variables and given/known data
A ball of radius r and mass m starts rolling without slipping up a ramp inclined at an angle φ to the horizontal and reaches a maximum height h. Derive an expression for the angular velocity ω that
the ball has at the ... | 4 | [
-0.06787109375,
0.0908203125,
0.032958984375,
-0.01416015625,
-0.00921630859375,
0.0625,
0.00775146484375,
0.1142578125,
0.00160980224609375,
0.0751953125,
0.034423828125,
0.022216796875,
0.0216064453125,
0.0301513671875,
0.0205078125,
0.10791015625,
-0.03466796875,
0.06201171875,
... | 32,055 | 32055 | |
On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 384320, 19 pages
http://dx.doi.org/10.1155/2013/384320
Research Article
On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoul... | 4 | [
-0.06396484375,
0.042236328125,
0.07421875,
0.00933837890625,
0.08349609375,
-0.03515625,
-0.030517578125,
-0.01141357421875,
0.01312255859375,
-0.007354736328125,
-0.07763671875,
-0.0028839111328125,
0.05126953125,
0.02294921875,
0.00830078125,
-0.03515625,
-0.0517578125,
-0.08886... | 32,056 | 32056 | |
Help with set theory proof
March 8th 2011, 05:59 AM
longhorn22
Help with set theory proof
I've been given a question on my problem set which I'm a bit stuck with. I'm getting the sense that the first part is easier than the second part, but I can't even seem to get the first part!
a) Let A, X, Y be sets suc... | 4 | [
0.06591796875,
0.0004825592041015625,
0.00823974609375,
-0.02392578125,
-0.00567626953125,
0.061767578125,
0.125,
-0.01611328125,
-0.005706787109375,
0.0966796875,
-0.004669189453125,
0.004119873046875,
0.02392578125,
0.0537109375,
0.09130859375,
0.1298828125,
-0.005279541015625,
-... | 32,057 | 32057 | |
Re: Non-deter. regular expr. -> deter. regular exp
mark@omnifest.uwm.edu (Mark Hopkins)
27 Mar 1996 00:07:21 -0500
From comp.compilers
| List of all ar... | 5 | [
-0.043701171875,
-0.00933837890625,
0.0169677734375,
0.01373291015625,
0.0986328125,
0.031982421875,
0.0181884765625,
-0.03466796875,
-0.01495361328125,
0.007659912109375,
-0.01104736328125,
-0.021240234375,
-0.0142822265625,
0.0791015625,
0.0303955078125,
-0.0230712890625,
-0.023437... | 32,058 | 32058 | |
Highest Common Factor using Euclidean Algorithm
August 29th 2007, 02:25 PM
BlueEagle
Highest Common Factor using Euclidean Algorithm
SOLVED, THANKS!
Hi,
Supposedly by remainder theorem that
a=a' mod n
and
a+b = a'+b' mod n
and possibly
a.b = a' . b' mod n
I need to calculate t... | 4 | [
0.000240325927734375,
-0.049560546875,
-0.06787109375,
-0.0966796875,
0.027587890625,
-0.0390625,
0.0245361328125,
0.056396484375,
-0.076171875,
-0.007171630859375,
-0.032958984375,
0.036865234375,
0.032470703125,
0.0341796875,
0.049560546875,
0.0203857421875,
-0.052490234375,
0.03... | 32,059 | 32059 | |
probability Mr. Smith will miss work
April 13th 2013, 02:54 AM #1
Junior Member
Joined
Jan 2012
Posts
25
Hi!
Can you hep me with this?
Mr. Smith can drive to work along the shortest path or bypass.
He drives the shortest path in 36% cases. The probabilty he will get stuck in traffic jam
o... | 4 | [
0.0235595703125,
0.0164794921875,
0.01519775390625,
-0.005706787109375,
-0.039794921875,
0.039794921875,
0.0654296875,
0.0223388671875,
-0.019287109375,
0.0021209716796875,
-0.006805419921875,
0.05615234375,
0.0712890625,
0.044677734375,
0.0150146484375,
0.0478515625,
0.0537109375,
... | 32,060 | 32060 | |
Z-coordinate of centroid , centre of mass prob
July 8th 2009, 02:23 AM
Twig
Z-coordinate of centroid , centre of mass prob
Hi!
Problem: Determine the z-coordinate of the centroid of the solid generated by revolving the quarter-circular area thorugh 90 degress about the z-axis.
Solution attempt:
I ... | 5 | [
-0.043212890625,
0.080078125,
-0.031494140625,
-0.060546875,
-0.0286865234375,
-0.0274658203125,
-0.0294189453125,
0.0791015625,
0.029052734375,
0.0281982421875,
0.004974365234375,
-0.0322265625,
0.005950927734375,
0.037109375,
0.011474609375,
-0.0419921875,
-0.0234375,
0.013854980... | 32,061 | 32061 | |
TEST derivative using y= lnx
Hi please help deriving this question:see the image for the equation. deriv.bmp
i do know that one of the rules involving natural logarithms is: y=lnx which derived is y'= 1/x . But I'mstill not sure. This is my teacher's solution:y'= -5-3x^2 / (-5-5x-x^3)
y =ln(-5-5x-x^3) derivative of l... | 5 | [
-0.048583984375,
-0.0986328125,
0.07275390625,
-0.02294921875,
0.051025390625,
-0.103515625,
0.0556640625,
-0.08154296875,
0.01129150390625,
0.01953125,
0.095703125,
0.0031280517578125,
0.03076171875,
-0.0047607421875,
0.0225830078125,
0.07666015625,
-0.056396484375,
0.025512695312... | 32,062 | 32062 | |
An arctan integral
okay the problem at first glance it's hard, but i don't want to give any hint yet, so i'll wait a couple of days and i'll post a solution.
Posting in thread so I remember about it. I think it has to do with... $\frac{d}{dx}\arctan(x) = \frac{1}{1+x^2}$. Then find an expression for arctan(x)/x maybe ... | 5 | [
-0.048828125,
-0.0242919921875,
0.126953125,
0.032958984375,
0.0791015625,
-0.0859375,
-0.0157470703125,
0.08154296875,
-0.00830078125,
0.0308837890625,
0.01116943359375,
-0.053955078125,
0.02490234375,
0.050537109375,
-0.0947265625,
0.017822265625,
0.047119140625,
-0.012451171875,... | 32,063 | 32063 | |
Homework Help
Posted by -Z on Thursday, April 15, 2010 at 9:17pm.
Diane has one stamp of each positive integer value 1 cent through 9 cents, inclusive. She wants to put 10 cents worth of postage in a row across the top of an envelope. If arrangements of the same
stamps in different order are considered different, how ... | 4 | [
-0.0113525390625,
-0.00408935546875,
0.050537109375,
-0.045166015625,
-0.029541015625,
-0.0003261566162109375,
0.0283203125,
0.048828125,
-0.08251953125,
0.006134033203125,
-0.03369140625,
0.022705078125,
0.0283203125,
0.0029144287109375,
-0.01904296875,
-0.01513671875,
-0.0510253906... | 32,064 | 32064 | |
boolean product of a matrices
June 22nd 2008, 11:22 AM #1
Member
Joined
May 2008
Posts
109
boolean product of a matrices
How do I find the boolean product of matrices? I know I need to pair up numbers with ^ and place v in between, but I don't know which numbers to pair up.
For example:
A= 1 0 ... | 5 | [
0.01806640625,
-0.03662109375,
-0.140625,
-0.007293701171875,
-0.0400390625,
0.033935546875,
0.08251953125,
-0.109375,
-0.0220947265625,
-0.0164794921875,
-0.0281982421875,
-0.031494140625,
0.08740234375,
0.06787109375,
0.0035552978515625,
0.09716796875,
-0.01336669921875,
-0.00424... | 32,065 | 32065 | |
Interesting technique to find a limit...
August 24th 2010, 12:04 AM #1
Junior Member
Joined
Apr 2009
Posts
48
Interesting technique to find a limit...
Suppose I wanted to find the limit of some sequence, given by $a_{n+1} = \sqrt{2a_n}$. Suppose also that for this particular sequence, we have $a_n \leq a... | 5 | [
-0.0712890625,
-0.09326171875,
0.072265625,
-0.006439208984375,
0.006500244140625,
0.0020904541015625,
-0.1357421875,
0.026123046875,
0.0634765625,
-0.00958251953125,
0.04833984375,
0.05615234375,
-0.00225830078125,
0.044677734375,
-0.03173828125,
0.031982421875,
0.0164794921875,
0... | 32,066 | 32066 | |
implicit differentiation (finding the 1st and 2nd derivative)
October 22nd 2009, 02:06 PM #1
Member
Joined
Jun 2007
Posts
79
implicit differentiation (finding the 1st and 2nd derivative)
With these, i cannot get the answer that is said from the book.
1. y^2 = e^(x^2) + 2x
I already got the 1st on... | 5 | [
-0.0169677734375,
-0.01470947265625,
0.03173828125,
0.03759765625,
0.03369140625,
0.020751953125,
-0.0208740234375,
-0.0031890869140625,
0.0194091796875,
0.0003681182861328125,
0.1572265625,
-0.043212890625,
0.0140380859375,
-0.022216796875,
0.00946044921875,
0.0216064453125,
-0.0820... | 32,067 | 32067 | |
Probability of us shooting so well from the line last night [Archive] - Stingtalk.com - Georgia Tech Sports Message Board
gth816f
03-20-2010, 08:08 PM
Quick answer: 0.118 % chance of shooting 24/25 or 25/25, assuming I did this right.
Long answer:
Okay, this came up in the other thread: what was the probability of... | 5 | [
-0.0067138671875,
0.0113525390625,
-0.01806640625,
-0.019287109375,
0.052978515625,
0.0206298828125,
0.044677734375,
0.039306640625,
0.091796875,
0.05615234375,
0.0123291015625,
-0.04248046875,
0.038330078125,
-0.011474609375,
0.042236328125,
-0.0064697265625,
-0.057861328125,
-0.0... | 32,068 | 32068 | |
Filtrations and Adapted Processes
Filed under: Filtrations and Processes,Stochastic Calculus Notes — George Lowther @ 12:22 AM
Tags: math.PR, predictable process, Stochastic Calculus
In the previous post I started by introducing the concept of a stochastic process, and their modifications. It is necessary to introduc... | 4 | [
-0.053466796875,
-0.048583984375,
0.034423828125,
0.0018157958984375,
0.08349609375,
-0.024169921875,
0.09130859375,
0.05322265625,
0.037841796875,
-0.0074462890625,
-0.054443359375,
-0.026123046875,
0.04443359375,
0.019775390625,
-0.0439453125,
0.0015411376953125,
0.00677490234375,
... | 32,069 | 32069 | |
convertion between numeral systems
November 21st 2012, 08:58 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
convertion between numeral systems
Hi guys.
i'm new here.
English isn't my first language, so you'd have to forgive me for any mistakes you might find...
I couldn'... | 4 | [
0.0003032684326171875,
-0.0224609375,
-0.10791015625,
-0.0625,
-0.0322265625,
0.0185546875,
0.00787353515625,
0.07421875,
-0.017822265625,
-0.004180908203125,
-0.059814453125,
-0.0281982421875,
0.07470703125,
0.01287841796875,
-0.0167236328125,
-0.07861328125,
-0.08544921875,
0.153... | 32,070 | 32070 | |
Solve using de Moivre's theorem: z^3=i
November 27th 2012, 07:50 PM
ImConfused
Solve using de Moivre's theorem: z^3=i
Hi! So I have to find the solutions to the following equation using de Moivre's theorem: z^3=i
Here's my attempt at solving:
z^3=i
z^3=0+1i
r=(0^2+1^2)^1/2
r=1
arg=tan^-... | 5 | [
-0.10791015625,
-0.007049560546875,
-0.035888671875,
0.111328125,
0.010009765625,
-0.11767578125,
0.044677734375,
0.014404296875,
0.080078125,
-0.0020904541015625,
0.036865234375,
-0.017578125,
0.00994873046875,
0.07666015625,
0.0291748046875,
-0.060546875,
-0.0308837890625,
-0.023... | 32,071 | 32071 | |
Some Classes of Pseudosymmetric Contact Metric 3-Manifolds
ISRN Geometry
VolumeΒ 2012Β (2012), Article IDΒ 367467, 21 pages
http://dx.doi.org/10.5402/2012/367467
Research Article
Some Classes of Pseudosymmetric Contact Metric 3-Manifolds
Department of Mathematics, University of Thessaloniki, Adendron 57007, Greece
... | 4 | [
-0.11328125,
-0.040771484375,
-0.01007080078125,
-0.10791015625,
-0.047119140625,
0.007568359375,
-0.01385498046875,
0.018310546875,
0.053466796875,
-0.01336669921875,
0.045166015625,
-0.05419921875,
-0.08203125,
0.025634765625,
0.054931640625,
-0.05712890625,
-0.047119140625,
0.02... | 32,072 | 32072 | |
length of the curve: where is my mistake?
January 25th 2009, 01:19 PM #1
Junior Member
Joined
Jan 2009
Posts
71
length of the curve: where is my mistake?
Ok, so let me start with the information that is given. I need to find the length of the curve.
x=t^3
y=3t^2/2
0≤ t ≥ square root (3)
S... | 5 | [
0.0291748046875,
-0.0179443359375,
0.0308837890625,
-0.0172119140625,
0.0128173828125,
-0.035888671875,
-0.058349609375,
0.125,
-0.0194091796875,
-0.0196533203125,
0.039306640625,
-0.03125,
0.0220947265625,
0.017333984375,
-0.052734375,
0.0198974609375,
-0.07763671875,
0.0004215240... | 32,073 | 32073 | |
nondegenerate critical points
February 14th 2011, 01:50 AM #1
Newbie
Joined
Feb 2011
Posts
8
nondegenerate critical points
$I$ is an open interval. Let $f:I\to\mathbb{R}$ be a function of class $C^1$ and $K\subset I$ compact. If all critical points of $f$ in $K$ are nondegenerate then there exists only f... | 4 | [
-0.00872802734375,
0.05078125,
-0.03759765625,
0.032958984375,
0.03515625,
0.0810546875,
0.12890625,
0.026611328125,
-0.01806640625,
0.04296875,
-0.039306640625,
-0.033203125,
0.0732421875,
0.011474609375,
-0.00164794921875,
-0.041259765625,
-0.00360107421875,
-0.07666015625,
0.0... | 32,074 | 32074 | |
Hello everyone!
May 5th 2013, 12:35 PM #1
Newbie
Joined
May 2013
From
Prague, Czech Republic
Posts
8
Hello everyone!
Hello, My name is Martin, I'm from Czech republic. I study at High school. Math is my favourite subject. I hope I will learn something new at this forum :-)
PS: May I ask you for... | 4 | [
-0.06494140625,
0.05224609375,
0.035400390625,
0.0211181640625,
0.00122833251953125,
0.006561279296875,
0.00665283203125,
0.0081787109375,
0.0172119140625,
-0.011474609375,
0.1181640625,
-0.012451171875,
0.0286865234375,
0.005859375,
-0.04833984375,
-0.0033111572265625,
-0.0424804687... | 32,075 | 32075 | |
Pairwise Balanced Design of Order
ISRN Discrete Mathematics
Volume 2012 (2012), Article ID 251457, 7 pages
http://dx.doi.org/10.5402/2012/251457
Research Article
Pairwise Balanced Design of Order and 2-Fold System of Order
^1Department of Mathematics, University of Kalyani, Kalyani 741235, India
^2Department of Mat... | 5 | [
-0.1435546875,
0.023681640625,
-0.06591796875,
-0.0966796875,
-0.0184326171875,
-0.0262451171875,
-0.055908203125,
-0.006103515625,
0.080078125,
0.058837890625,
-0.03759765625,
0.064453125,
0.015380859375,
0.03857421875,
0.00439453125,
0.0260009765625,
-0.02783203125,
0.04272460937... | 32,076 | 32076 | |
Where to take square root "positive, negative" and where to take it only "positive"??
November 3rd 2010, 06:39 AM #1
Junior Member
Joined
Oct 2010
Posts
34
Where to take square root "positive, negative" and where to take it only "positive"??
I wrote in my Notebook a few days ago..
cos(x)= [1-sin^(2)... | 4 | [
-0.027099609375,
0.051025390625,
-0.05517578125,
0.09033203125,
-0.038818359375,
-0.059326171875,
-0.05029296875,
0.015869140625,
0.05859375,
0.09228515625,
0.0732421875,
0.0218505859375,
0.054931640625,
0.115234375,
0.024658203125,
-0.004974365234375,
0.018310546875,
-0.0673828125... | 32,077 | 32077 | |
Finding the Range using f '(x)
January 17th 2010, 10:04 AM
rawkstar
Finding the Range using f '(x)
I need to find the range of f(x)=(x^2-8)/(x+3) and use f'(x) to justify my answer. I found f'(x) to be (x^2+6x+8)/(x+3)^2 and I found the critical numbers of f to be -4,-3,-2, but I don't know
where to go from ... | 4 | [
-0.01495361328125,
0.0111083984375,
-0.01190185546875,
-0.0179443359375,
0.040771484375,
0.044189453125,
-0.0166015625,
0.15625,
0.0172119140625,
-0.004119873046875,
0.060546875,
-0.04541015625,
0.0458984375,
0.0228271484375,
0.0185546875,
-0.004547119140625,
0.0255126953125,
-0.08... | 32,078 | 32078 | |
Word problem help
November 20th 2012, 10:57 AM
nubshat
Word problem help
One hundred grams of a certain chemical is removed from its airtight container and
immediately placed in a 20 gram dish on a sensitive scale. The scale reads 120 grams. The
chemical absorbs water from the air at a rate of 15e^-t gra... | 5 | [
-0.061767578125,
0.06298828125,
0.054443359375,
-0.01708984375,
0.0203857421875,
-0.0093994140625,
0.0289306640625,
0.07666015625,
-0.035400390625,
0.048095703125,
0.0791015625,
-0.043212890625,
0.009765625,
0.0966796875,
-0.08349609375,
-0.042724609375,
0.057861328125,
-0.01135253... | 32,079 | 32079 | |
Test Your Foundation in Finite Elements
Paul Kurowski President ACOM Consulting pkurowski@acomdesign.com
FEA programs have gotten so easy to use some might think that there’s not much to learn to be effective. But after attending many FEA courses and conferences, and answering questions from people
involved with the ... | 5 | [
-0.01318359375,
0.061767578125,
-0.01806640625,
0.06103515625,
0.00823974609375,
-0.0166015625,
-0.048583984375,
0.0011138916015625,
-0.0693359375,
0.018310546875,
-0.09423828125,
-0.017822265625,
-0.0037841796875,
-0.0380859375,
-0.0400390625,
-0.06689453125,
-0.04248046875,
-0.03... | 32,080 | 32080 | |
box volume/surface area
December 1st 2010, 06:16 AM
Joker37
box volume/surface area
A box with a volume of $400 cm^{3}$has the shape of a rectangular prism. It has a fixed height of $25 cm$, a length of y cm and a width of x cm. If $A cm^{2}$ is the total surface area:
a) Express A in terms of x.
I don'... | 4 | [
0.0257568359375,
0.0250244140625,
0.0186767578125,
-0.008544921875,
0.0225830078125,
-0.015869140625,
0.0615234375,
0.03564453125,
0.027587890625,
0.0242919921875,
0.032470703125,
-0.037353515625,
0.0228271484375,
0.06591796875,
0.050537109375,
0.01458740234375,
-0.078125,
0.024047... | 32,081 | 32081 | |
Can someone explain how this makes 2nd order diff. makes sense
June 15th 2008, 05:53 AM
Bryn
Can someone explain how this makes 2nd order diff. makes sense
Just reading through a proof which states that:
dy/dt=(-2x^-3)(dx/dt)
Then it states that:
d2y/dt2= (-2x^-3)(d2x/dt2)+(6x^-4)(dx/dt)^2
I ... | 5 | [
-0.087890625,
-0.037109375,
0.0947265625,
0.016357421875,
0.0260009765625,
-0.0439453125,
-0.05517578125,
-0.046142578125,
0.0849609375,
0.061279296875,
0.1064453125,
0.06591796875,
0.05419921875,
-0.0281982421875,
0.029052734375,
0.03173828125,
-0.08349609375,
0.072265625,
-0.08... | 32,082 | 32082 | |
Quick Question on Probability and Normal Distribution tables
April 21st 2008, 11:17 AM #1
Newbie
Joined
Oct 2007
Posts
18
Quick Question on Probability and Normal Distribution tables
When a question is of the form 'what is the probability that a project will take "at least" (suppose) 23 days', how do you... | 4 | [
0.0279541015625,
0.10107421875,
0.011962890625,
-0.01458740234375,
0.006744384765625,
-0.000957489013671875,
0.0036773681640625,
0.06884765625,
-0.0262451171875,
0.055908203125,
0.06689453125,
-0.0810546875,
0.12353515625,
0.01092529296875,
0.0238037109375,
-0.06298828125,
-0.0120239... | 32,083 | 32083 | |
Assessment Help
May 31st 2005, 11:04 PM
xgunwingx
Assessment Help
so far, g'(t) = 95e^-0.25t * [1+19e^-0.25t]^-2
where g'(t) is the growth rate formula
the thing i have to do is find the mean height of the tree's and how many years that i expect the process would occur.
mean = 2.821
Integrate... | 5 | [
-0.034912109375,
0.04052734375,
0.09521484375,
-0.005340576171875,
0.01458740234375,
-0.06640625,
-0.0478515625,
0.1513671875,
-0.058837890625,
0.08642578125,
0.03515625,
-0.09375,
0.06005859375,
-0.0206298828125,
-0.0859375,
0.0216064453125,
-0.09619140625,
-0.0264892578125,
-0.... | 32,084 | 32084 | |
A truck covers 80 m in 17 s while smoothly slowing
October 18th 2010, 07:37 AM #1
Senior Member
Joined
Oct 2009
Posts
290
A truck covers 80 m in 17 s while smoothly slowing
A truck covers 80 m in 17 s while smoothly slowing down to a final speed of 5.6 m/s
a ) find its original speed
b) Final its... | 4 | [
-0.0155029296875,
0.09326171875,
0.0458984375,
-0.03125,
0.0703125,
-0.037353515625,
-0.05126953125,
-0.005126953125,
-0.07470703125,
0.07080078125,
0.09423828125,
-0.0341796875,
0.037109375,
0.017822265625,
-0.07666015625,
0.0291748046875,
-0.010009765625,
0.046875,
-0.120117187... | 32,085 | 32085 | |
NewtonRaphson java code help
1.
Join Date
Jun 2013
Posts
1
Rep Power
0
import java.util.Scanner;
import javax.swing.JOptionPane;
import java.text.DecimalFormat;
public class NewtonRaphsonMethod
{
public static void main(String[] arg... | 4 | [
0.007537841796875,
0.051513671875,
-0.0712890625,
0.0177001953125,
-0.09814453125,
0.012451171875,
0.011962890625,
0.109375,
-0.040771484375,
-0.014404296875,
-0.0024261474609375,
-0.09521484375,
0.04736328125,
0.0299072265625,
0.052490234375,
-0.0228271484375,
-0.0791015625,
-0.03... | 32,086 | 32086 | |
Math Help
October 4th 2007, 01:02 PM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
work:
A tank in the form of an inverted right circular cone is 8m across the top and 10m deep. If the tank is filled to a height of 9m with water, find the work done in pumping the water to the top of
... | 5 | [
-0.064453125,
0.0673828125,
0.0186767578125,
-0.0322265625,
0.016845703125,
-0.06298828125,
-0.03955078125,
0.10107421875,
-0.042724609375,
-0.0155029296875,
-0.0189208984375,
0.0498046875,
0.022216796875,
0.10009765625,
-0.06201171875,
0.0400390625,
-0.060791015625,
-0.00897216796... | 32,087 | 32087 | |
Trigonometry converting degrees
March 29th 2010, 12:43 PM #1
Newbie
Joined
Mar 2010
Posts
11
Trigonometry converting degrees
Hi guys, Thanks for all help in advance.
A question requires me to find t in seconds.
h = 13 m
13 = -10 cos (πt/15) + 11.
13-11/-10 = cos (πt/15)
cos^-1(1/... | 4 | [
-0.080078125,
0.10546875,
-0.048095703125,
-0.0167236328125,
-0.0255126953125,
0.01171875,
-0.05859375,
0.064453125,
0.04638671875,
-0.039794921875,
0.130859375,
-0.048828125,
0.005828857421875,
0.0196533203125,
0.01068115234375,
-0.06787109375,
0.0026702880859375,
0.04345703125,
... | 32,088 | 32088 | |
Laminar Mixed Convection in the Entrance Region of Horizontal and Inclined Semicircular Ducts
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 476537, 11 pages
http://dx.doi.org/10.1155/2013/476537
Research Article
Laminar Mixed Convection in the Entrance Region of Horizontal and Inclined Semicircula... | 4 | [
0.036376953125,
0.004852294921875,
0.0084228515625,
-0.0135498046875,
-0.054443359375,
-0.000640869140625,
-0.0751953125,
-0.05712890625,
0.0033721923828125,
0.050048828125,
-0.037109375,
-0.041015625,
0.12109375,
-0.041259765625,
0.10546875,
-0.0225830078125,
-0.025390625,
0.00683... | 32,089 | 32089 | |
Avoiding FP errors
4-9 MINIMIZING FLOATING-POINT ERRORS
*************************************
A few remarks
-------------
o Some practical methods for checking the severity of floating-point
errors can be found in the chapter: 'practical issues'.
o The chapter on 'FORTRAN pitfalls' discusses various pr... | 5 | [
-0.0172119140625,
0.07763671875,
-0.00714111328125,
0.008544921875,
-0.03759765625,
-0.06591796875,
-0.064453125,
0.07666015625,
-0.056640625,
-0.060791015625,
-0.0322265625,
-0.05126953125,
0.038818359375,
-0.01116943359375,
-0.045654296875,
-0.080078125,
-0.03515625,
0.1118164062... | 32,090 | 32090 | |
Resistors, Volt and Current
In this article we will study the most basic component in electronics, the resistor and its interaction with the voltage difference across it and the electric current passing through it. You will
learn how to analyse simple resistor networks using nodal analysis rules. This article also sho... | 4 | [
-0.08544921875,
0.04638671875,
0.045654296875,
-0.0069580078125,
0.0267333984375,
0.00102996826171875,
-0.04833984375,
0.02001953125,
0.0712890625,
0.0196533203125,
-0.0118408203125,
-0.06689453125,
0.09228515625,
0.03564453125,
-0.0250244140625,
-0.07763671875,
-0.045654296875,
0.... | 32,091 | 32091 | |
the encyclopedic entry of tessellation
A
tessellation
or
tiling
of the
plane
is a collection of
plane figures
that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible.
Tessellatio... | 4 | [
0.01348876953125,
-0.01068115234375,
-0.0120849609375,
-0.06591796875,
-0.126953125,
-0.00811767578125,
-0.043212890625,
-0.07177734375,
0.039306640625,
0.041015625,
-0.01611328125,
0.013916015625,
0.037353515625,
0.058349609375,
-0.0234375,
-0.029052734375,
-0.0145263671875,
0.041... | 32,092 | 32092 | |
Fundamentals Of Electric Circuits Alexander Sadiku Chapter 17 Solution Manual
PROPRIETARY MATERIAL
. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No partof this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of
the publisher, or used ... | 5 | [
-0.1455078125,
0.10595703125,
0.00848388671875,
-0.00384521484375,
0.0194091796875,
0.0498046875,
0.0196533203125,
0.006988525390625,
0.00147247314453125,
0.015625,
0.09765625,
-0.06640625,
0.01507568359375,
0.0240478515625,
0.076171875,
-0.0245361328125,
-0.142578125,
0.0023956298... | 32,093 | 32093 | |
At what rate is revenue rising or falling.
November 29th 2009, 12:46 PM
colinn
At what rate is revenue rising or falling.
Problem:
"For the past few months, OHaganBooks.com has seen its weekly sales increase. At the moment OHaganBooks.com is selling 1000 books per week and its sales are rising at a rate of ... | 5 | [
-0.03271484375,
0.0289306640625,
-0.0308837890625,
-0.05224609375,
-0.07763671875,
0.0218505859375,
-0.05517578125,
0.05712890625,
-0.0057373046875,
0.046142578125,
0.005157470703125,
0.027099609375,
0.00191497802734375,
0.0179443359375,
0.00604248046875,
-0.00897216796875,
-0.075683... | 32,094 | 32094 | |
Confusign probability
May 21st 2006, 06:15 AM
jacs
Confusign probability
A marksman finds that on average he hits the target 9 times out of every 10 and scores a bull's eye on the average once every 5 rounds. He fires 4 rounds. What is the probability that:
He scores at least 2 bull's eyes and he has hit th... | 5 | [
0.1181640625,
-0.0299072265625,
0.0303955078125,
0.01226806640625,
0.0283203125,
0.0025634765625,
0.053466796875,
0.11181640625,
-0.0299072265625,
0.03662109375,
-0.04052734375,
-0.058349609375,
0.0654296875,
0.0390625,
0.0123291015625,
0.059814453125,
-0.0177001953125,
-0.04907226... | 32,095 | 32095 | |
Question on skew lines
December 13th 2010, 02:37 PM
s3a
Question on skew lines
The question is attached (#1, parts a and b). I have no idea how to do part b and as for part a. I don't remember what I did but when I try to think about the problem: I see that to find that the
lines do not intersect I need to f... | 4 | [
-0.103515625,
-0.003509521484375,
-0.078125,
-0.0830078125,
-0.0010223388671875,
0.01324462890625,
-0.029296875,
-0.013427734375,
-0.01409912109375,
-0.0084228515625,
0.0634765625,
-0.0201416015625,
-0.01116943359375,
-0.030029296875,
-0.05859375,
-0.003509521484375,
-0.1142578125,
... | 32,096 | 32096 | |
algebra word problem
January 14th 2008, 09:37 PM #1
Member
Joined
Jul 2006
Posts
90
algebra word problem
A person takes 2 medications throughout the day and night. One medication is to be taken every 6 hours and the other is to be taken every 4 hours. If the person begins taking both medications at
7... | 4 | [
0.09228515625,
-0.0152587890625,
0.00909423828125,
-0.037353515625,
-0.039794921875,
0.044921875,
-0.007293701171875,
0.08349609375,
-0.0023040771484375,
-0.03564453125,
-0.0478515625,
0.07666015625,
0.060302734375,
0.0213623046875,
-0.0294189453125,
0.006683349609375,
-0.07275390625... | 32,097 | 32097 | |
Find the Indicated Integrals
June 19th 2008, 08:19 AM #1
Junior Member
Joined
May 2008
Posts
50
Find the Indicated Integrals
I'm supposed to find several indefinite integrals, but I am not sure exactly how to do each, especially as they involve natural logs and trigonmetric functions.
The three are:... | 5 | [
0.04638671875,
-0.0302734375,
0.051513671875,
-0.09765625,
0.053466796875,
-0.0537109375,
-0.01239013671875,
0.0291748046875,
-0.01806640625,
0.052978515625,
0.040771484375,
-0.0027923583984375,
-0.04541015625,
0.051025390625,
-0.03076171875,
0.10595703125,
0.0040283203125,
0.02197... | 32,098 | 32098 | |
Please check this integral
September 21st 2013, 04:46 PM #1
Junior Member
Joined
Nov 2010
From
Colorado
Posts
42
Thanks
2
Please check this integral
$\int \frac{^3\sqrt(x)}{^3\sqrt(x)-1}$
I let $u=^3\sqrt(x)-1$
$u+1=^3\sqrt(x)$
$\int\frac{u+1}{u}du$
$\int (1 + \frac{1}{u})du$
... | 5 | [
0.00933837890625,
-0.0576171875,
-0.004302978515625,
0.038818359375,
-0.007476806640625,
-0.06787109375,
-0.06787109375,
-0.031982421875,
-0.0233154296875,
-0.041259765625,
0.0257568359375,
0.00457763671875,
0.0120849609375,
0.044921875,
-0.05224609375,
0.0186767578125,
-0.0220947265... | 32,099 | 32099 |