• Today, 20:46
Prove It replied to a thread [SOLVED] Limit of exponential function in Pre-Calculus
This is a $\displaystyle 1^{\infty}$ indeterminate form. It can be transformed into a form that can use L'Hospital's Rule by $\displaystyle... 7 replies | 76 view(s) • Today, 10:37 I substituted$n=\frac 1{x^2}$, which also means that$x^2=\frac 1 n$. So we get$\Big(1 + \frac 32 x^2\Big)^{1/x^2} = \Big(1 + \frac 32 \cdot \frac...
7 replies | 76 view(s)
• Today, 10:02
Since this is of the form $\displaystyle \frac{f\left( t \right)}{t}$ we should use $\displaystyle \mathcal{L}\,\left\{ \frac{f\left( t \right) }{t}... 0 replies | 24 view(s) • Today, 09:15 To apply this Runge-Kutta scheme, we will need to write our second order DE as a system of first order DEs. Let$\displaystyle u = y $and... 0 replies | 24 view(s) • Today, 09:14 It's like this: $$\Big(1-\frac 12 x^2 + \ldots\Big)\Big(1+\frac 12 (2x)^2 - \ldots\Big)\\ =1\cdot 1 -\frac 12 x^2 \cdot 1+1\cdot \frac 12 (2x)^2 -... 7 replies | 76 view(s) • Today, 08:53 The Bisection Method solves equations of the form \displaystyle f\left( x \right) = 0 so we must write the equation as \displaystyle 11\cos{... 0 replies | 20 view(s) • Today, 07:04 The series expansion of \cos x = 1 - \frac 12x^2 + \ldots. And the expansion of \frac 1{1-x} = 1+x+x^2+\ldots So:$$\frac{\cos(x)}{\cos(2x)}... 7 replies | 76 view(s) • Today, 03:46 The Secant Method is a numerical scheme to solve equations of the form$\displaystyle f\left( x \right) = 0 $, so we must rewrite the equation as... 1 replies | 39 view(s) • Today, 01:08 Here is this week's POTW: ----- Suppose that the positive integers$x, y$satisfy$2x^2+x=3y^2+y$. Show that$x-y, 2x+2y+1, 3x+3y+1$are all... 0 replies | 33 view(s) • Today, 01:02 No one answered last week's POTW.(Sadface) Below is a suggested solution: The given function is the square of the distance between a point of the... 1 replies | 128 view(s) • Yesterday, 21:13 Prove It replied to a thread Need help in Analysis It's a bit hard to use something that you haven't given us... 1 replies | 75 view(s) • Yesterday, 04:14 This is actually a proof of (ii)$\Rightarrow$(iii) in Lemma 3.2. So we are assuming that (ii) holds. In particular, since$\overline{ f(A) }$is... 1 replies | 55 view(s) • April 3rd, 2020, 22:31 I am reading Aisling McCluskey and Brian McMaster: Undergraduate Topology, Oxford University Press, 2014... ... and am currently focused on Chapter... 1 replies | 55 view(s) • April 3rd, 2020, 15:47 I have obtained access to the full solutions manual, after contacting Wiley about it. I will not type up the solution in full, but simply note a few... 1 replies | 104 view(s) • April 3rd, 2020, 00:50 Newton's Method solves an equation of the form$\displaystyle f\left( x \right) = 0 $, so we need to rewrite the equation as$\displaystyle...
0 replies | 66 view(s)
• April 2nd, 2020, 15:47
In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our...
0 replies | 67 view(s)
• April 2nd, 2020, 12:25
Klaas van Aarsen replied to a thread f in Calculus
It appears the answer is: dkm Acronym for "don't kill me". Often used when somebody says something that somebody else finds really funny,...
5 replies | 158 view(s)
• April 2nd, 2020, 11:56
topsquark replied to a thread f in Calculus
I believe the proper question is "What the 'f'?" -Dan
5 replies | 158 view(s)
• April 1st, 2020, 15:04
$\newcommand{\doop}{\operatorname{do}}$ Problem: (This is from Study question 4.3.1 from Causal Inference in Statistics: A Primer, by Pearl,...
1 replies | 104 view(s)
• April 1st, 2020, 08:33
The Bisection Method is used to solve equations of the form $\displaystyle f\left( x \right) = 0$, so we need to rewrite the equation as...
0 replies | 76 view(s)
• April 1st, 2020, 07:44
You first have to write this DE as a system of first order equations. Note, since $\displaystyle t$ does not appear in the original DE, that means...
0 replies | 61 view(s)
• April 1st, 2020, 06:35
Not quite, although you started correctly. The limit in this case is as $x\to\infty$, so you want to see what happens when $x$ gets large. This means...
3 replies | 144 view(s)
• March 31st, 2020, 17:53
topsquark replied to a thread [SOLVED] 299What is the acceleration in Calculus
Wait! What do you mean by you changed it to v(t)? The particle's position is x(t) = sin(t) - cos(t) means that v = \dfrac{dx}{dt}. You can't just...
4 replies | 125 view(s)
• March 31st, 2020, 14:52
Hi Goody, and welcome to MHB! To prove that \lim_{x\to\infty}\frac{x-1}{x+2} = 1, you have to show that, given $\varepsilon > 0$, you can find $N$...
3 replies | 144 view(s)
• March 30th, 2020, 05:31
Let's take a look at a couple of examples. If $f(x)=x$, then $f'(x)=1$ and $f''(x)=0$. So $\lim\limits_{x\to +\infty}f'(x)\ne 0$, isn't it?...
21 replies | 404 view(s)
More Activity

### 93 Visitor Messages

1. Hello and welcome back to MHB, ZaidAlyafey!

We are happy to see that you have returned, and we look forward to your continued participation here!

On Behalf Of MHB's Staff,

anemone.
2. I don't have any way to do that...my desktop PC has no mic. We can discuss via VM or PM though.
3. Hello Zaid,

I'm good, and you?

I have no life, so forums are my life, LOL!
4. Happy birthday, Zaid! By the way, I skimmed through your text and it looks impressive!
5. Happy Birthday, Zaid!!
6. Happy Birthday!!!
7. Happy Birthday, Zaid!
8. Happy Birthday, Zaid!!!
9. Happy Birthday, Zaid! I hope you have a great day with friends and family. Very glad you are part of MHB.
10. Happy Birthday, Zaid!

On your big day, you are wished all that you hope for, all that you dream of, all that makes you happy!
Showing Visitor Messages 1 to 10 of 93
Page 1 of 10 123 ... Last
Page 1 of 10 123 ... Last

#### Basic Information

Date of Birth
December 29, 1990 (29)
Biography:
Currently a Senior who hasn't done something significant yet !
Location:
KSA
Interests:
Mathematics (Real, complex analysis and Special functions)
Occupation:
Student
Country Flag:
Yemen

#### Signature

"It's not necessary for you to pick pen and paper to solve a problem, the most intriguing questions are those that you're thinking of most of the time anyway" Zaid Alyafey .

My book on advanced integration WILL be the only memory I have about mathematics, see it Advanced Integration Techniques.

#### Statistics

Total Posts
1,666
Posts Per Day
0.63
Thanks Given
3,673
3,866
2.321
##### Visitor Messages
Total Messages
93
Most Recent Message
June 16th, 2019 12:13
##### General Information
Last Activity
June 16th, 2019 12:15
Last Visit
April 5th, 2018 at 07:46
Last Post
January 12th, 2018 at 12:32
Join Date
January 17th, 2013
Referrer
MarkFL
Referrals
3
Referred Members
Amr, Maths Lover, Woolooloop

### 91 Friends

1. #### abazOffline

MHB Apprentice

2. #### AckbachOffline

Indicium Physicus

3. #### agentmulderOffline

MHB Apprentice

4. #### alane1994Offline

MHB Craftsman

MHB Master

6. #### AmerOffline

MHB Craftsman

7. #### AmrOffline

MHB Apprentice

8. #### AndreiOffline

MHB Apprentice

MHB Master

10. #### ArnoldOffline

MHB Apprentice

Showing Friends 1 to 10 of 91
Page 1 of 10 123 ... Last
Ranks Showcase - 6 Ranks
Icon Image Description

Name: MHB Math Notes Award (2014)
 Issue time: January 3rd, 2015 15:30 Issue reason:

Name: MHB Best Ideas (2014)
 Issue time: January 3rd, 2015 15:29 Issue reason:

Name: MHB Best Ideas (Jul-Dec 2013)
 Issue time: January 5th, 2014 16:53 Issue reason:

Name: MHB Analysis Award (Jul-Dec 2013)
 Issue time: January 5th, 2014 16:49 Issue reason:

Name: MHB Calculus Award (Jul-Dec 2013)
 Issue time: January 5th, 2014 16:48 Issue reason:

Name: MHB Math Notes Award (Jan-June 2013)
 Issue time: July 1st, 2013 22:20 Issue reason: