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#2 Re: Help Me ! » A simple question3 » 2025-08-08 13:44:36

Where did you find this question?

#3 Re: Help Me ! » Coordinate Geometry Question » 2025-08-08 02:10:21

Thanks Bob! This helps.

I got the equation as:

which is correct!

#4 Re: Help Me ! » A simple question3 » 2025-08-08 02:01:07

You left the dx. This is where you got wrong because now if you are integrating with u/v, you should also change the dx to anything like du or dv. Can you please tell me the complete question?

#6 Help Me ! » Coordinate Geometry Question » 2025-08-07 02:38:25

ktesla39
Replies: 4

Hey guys, hope you are chilling.

I have a question from my Optional Mathematics' coordinate geometry, which has confused me a lot:

## Find the equation of the circle which touches the X-axis at the point (3,0) and cuts off an intercept 8 units from the positive part of the Y-axis.

I tried several attempts but failed. All suggestions are welcomed. wink

#7 Re: Help Me ! » A simple question3 » 2025-08-06 23:49:42

How did you do that? What's the method name? I did using substitution method.

#8 Re: Help Me ! » A simple question3 » 2025-08-05 23:57:00

Let, u = g(x)

Differentiate both sides with respect to x:

Now sub. back in the integral:

This is the simplest to what I know. If you give me the original equation, I might help you solving it.

#9 Re: Help Me ! » 100% simple question! » 2025-07-13 19:02:17

The all solutions:

Only the last one is a real solution which approximates to 0.1966

#10 Re: Help Me ! » A simple question2 » 2025-07-12 23:52:07

Ok that's strange and I had never seen such thing before

#11 Re: Help Me ! » A simple question2 » 2025-07-12 23:29:46

Do you mean

  Both are nearly 0

This version used JavaScript for calculation. I was originally going to use Python and it's SymPy module to find exact answer but python denied the recursive loop as it reached it's recursion limit.

But how did you know this? Can you tell me your grade?

#12 Re: Help Me ! » A simple question2 » 2025-07-12 22:52:05

Hey dude, I calculated 100s of values and the final approximate answer was 0 as shown in the figure. You can see the complete execution at https://ktesla.infy.uk/math.html But only open if you are on a PC as this has various nested loops that might hang your computer a bit (3 GB RAM) mathe.png

#13 Re: Help Me ! » A simple question » 2025-07-12 03:36:47

Thanks!

We have two subjects Compulsary math and Optional maths.

#14 Re: Help Me ! » A simple question » 2025-07-12 02:28:23

Thanks Bob!

I'll definitely love that.

Tomorrow I have exam of Optional Mathematics and I'll ask my teacher about the question. Maybe he can help.

#15 Re: Help Me ! » A simple question » 2025-07-11 16:36:27

I tried 3 time with the Basel Problem:

I tried playing with it but still got nothing. I also tried learning Taylor, Fourier and Power series but all were complex.

This equation and our equation are related because they are terms of same pattern but you CANNOT find another using the first one. I only have a hope if Bob or any of us solves it.

#16 Re: Help Me ! » A simple question » 2025-07-11 14:51:39

Ok now I don't seek any way to prove the equation. I tried dozens of methods and the only thing I can say is -- This cant be proved using pure algebra. I may be wrong but I'll be still good if we get any solution.

#17 Re: Help Me ! » A simple question » 2025-07-10 20:41:28

After searching some pages of my copy, the question was:


which became :

Maybe I had some mistakes.... but the result was non elementary function.

#18 Re: Help Me ! » A simple question » 2025-07-10 20:24:53

I am in class 10 and I've started learning calculus (class 11) and after some time, when I'll find myself ready, I'll try learning Taylor Series and the Reimann zeta function. once I had a question something like

. I couldn't solve this and when I asked someone about it, they replied that this was a non elementary function an is written as Ei(x). That time I first saw Gamma and Zeta function.

#19 Re: Help Me ! » LaTeX - A Crash Course » 2025-07-10 20:14:31

Hi Bob,

Ok last try. You just have to use this syntax (only change is that keep everything lowercased):

 [MATH] your math codes... like \frac{1}{2} [/MATH] 

Examples:

 [MATH] \sum_1^\infty x^2  [/MATH] 

produces (after changing MATH to math):

and:

 [MATH] \int sin(x)dx = - cos(x) + C  [/MATH] 

produces:

 [MATH] {\frac{\pi}{2}}^2 = \frac{\pi^2}{2^2}  [/MATH]  produces: 

Just keep in mind: use math instead of MATH. You can also see other's LATEX by typing on them. Try clicking:

Is this helpful?

#20 Re: Help Me ! » A simple question » 2025-07-10 19:58:19

Not actually because I'm just few years ahead of you and still I don't know much about Calculus. The only thing I know is that this can be proved using Taylor Series which is really complex. ?

#21 Re: Help Me ! » LaTeX - A Crash Course » 2025-07-10 19:52:37

Hello,
hypsin_0,Ok I know the reason you are getting confused. The main way is to use {math} tag at the starting and {/math} at the ending ( NOTE: keep in mind that there should be '[' and ']' instead of { and }).
To type a fraction:

{math} \frac{1}{2} {/math} 

(NOTE: The [] for {} only applies to the {math} and {/math}. Rest are same.) If you are still confused, visit this: https://ktesla.infy.uk/tex

#22 Re: Help Me ! » A simple question » 2025-07-10 17:53:39

This can be solved using calculus but to keep things easier, I just have a way: calculate everything from both LHS and RHS.
LHS = 1 + 1/16 + 1/81 + 1/256...... (notice that's decreasing rapidly when we increase n. So few numbers might give correct result. I'll use only 8 terms:)
       = 1 + 0.0625 + 0.0123 + 0.00390625 + 0.0016 + 0.0007716049 + 0.000416493 + 0.0002441406
       = 1.0815
RHS = 1.082

They are found to be equal up to 3 decimals and if you want more accuracy use more digits.

Was this helpful?

#23 Re: Help Me ! » Factorising harder quadratics » 2025-06-20 23:50:22

Bob wrote:

B^2 - 4AC = 121 + 240 = 361. This has root 19 so if I used the quadratic formula a simple 'solution' is available.  That check saves wasting time looking for a factorisation if there isn't one.

Bob

True to Bob. The quadratic formula is better than any other methods as it works for all.

#24 Re: Help Me ! » Factorising harder quadratics » 2025-06-20 23:48:02

Hi guys!

In Nepal, we are mainly taught 3 ways of solving quadratic equations: product sum method, completing square method and the formula method. You can read the whole chapter here: https://lms.neemaacademy.com/course/2095/School-Mathematics-Grade-10/component/ynPP0L

In the product sum method, which only works for integers, we do the steps:

For any equation like:

, we do:
- Multiply a with c to make ac
- Check whether it's sum or difference, if c > 0, it's sum else it's difference
- Find two numbers whose sum or difference is b and product is ac
- Once you have the numbers, keep them instead of b in the equation.

For example:

Here, ac = 6*(-10) = -60; use difference
The numbers whose product is 60 and difference is 11 are: 15 and 4.


Hence (2x+5) and (3x-2) are the solutions.

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