Root Finding - False-Position Method | Numerical Methods (Tagalog) 🇵🇭

[@mrmrk9075]

Sa wakas, wikang mas madali intindihin.

[@AJ-et3vf]

Nice! Ganda! Lucid explanation tapos nakakakalma pa pakinggan. I appreciate the use of similar triangles to derive the formula. It's more intuitive and visually appealing than using the equation of a line, which I was thinking of when I think about the problem.

[@rogiemauli978]

Thank you po sa napakagandang explanation Sir.

[@user-bd6yh1pg9j]

thank you, Engr!

[@shainaordona8699]

Thanks sir natulong😇

[@engrleir]

Hi! Thanks for watching! 😊

[@misoo8009]

thank you sir.

[@ljrabaca]

By derermined the Next Iterations, can you explain why XL will retain and the XR will change, in different EQUATION

[@solderoerickb.8388]

Good day sir, may sample problems ka po ba na case study like applications sa bisection and false-position method? Thanks a lot sir!

[@Eurus1999]

Opo meron po Hahahahaha joke lang eric

[@AJ-et3vf]

Kuha ka lang bro ng kahit anong libro sa numerical methods and sagutan mo examples and problems nila dun. Or isip ka ng kahit anong example kahit simple pang tapos yun sagutan mo :) halimbawa root ng sin(x), cos(x), etc :)

[@chievallangca7825]

Sir. How can I find the root of the cube root of 90 using false position method? Thank you.

[@engrleir]

Use f(x)=x^3-9 as your function.

[@chievallangca7825]

@@engrleir sir bat po minus 9?

[@engrleir]

Ay 90 pala un sorry.

[@chievallangca7825]

@@engrleir Thank you sir.

[@camatoyjomarmadridbsee4cam364]

sir nalilito po ako kung kelan ititigil yung iteration. pag nakuha poba yung Yn 0.001? thanks

[@engrleir]

Usually Kapag maliit na po ung relative error. Magseset ka ng goal sa cmula. For example gusto mo ung error less than 0.05%. So pag bumaba na doon, pwede mo na itigil.

[@camatoyjomarmadridbsee4cam364]

@@engrleir ah OK THANKS po

[@AJ-et3vf]

Pwedeng tatlo ang stopping criteria mo bro: Una, kapag na-exceed yung maximum number of iterations like 1000. Second, kung yung absolute value ng function value mo dun sa estimated root is approximately zero e.g. abs( f(x_roo) )

[@abelgold4832]

good day sir sa Xn or new value X natin sa method na ito, sa book kasi ng binigay ng prof namin is Yu hindi Yl yung nasa numerator sa formula. ano ba yung tama engr?

[@engrleir]

depende po kasi sa way of derivation. parehas tama un.

[@dimaandalvinzelawrenceg.8424]

sa Xl po ba ay palaging mauulit yung zero?

[@banataoclaires.9565]

Good Day po sir! Pano po kung ung Yl and Yr ay parehong positive or negative, pwede pa rin po bang gamitin yang method. Salamat po.

[@engrleir]

Pili po kayo ng ibang limits

[@AJ-et3vf]

Kapag sa bracketing methods, dapat magkaiba ng sign yung function dun sa endpoints para mag-work yung algorithm.

[@edgardoconcepcion8308]

ir, paano ung cal tech n2 s casio fx 911 es plus?

[@engrleir]

Hello. Similar po sa caltech ng bisection method - di rin po ako familiar kung meron. Thanks!

[@nayeonyeowo]

Sir, Paano nyo po nakuha yung answer na x=0.5671? Habang di pa kayo nag titable. Or given na po siya sa book?

[@engrleir]

nagstart ako na may given answer, bale ginamit ko xa para macompare ko ung sagot through numerical method. I think ung x=0.5671 ung exact answer sa book (pag ginamitan mo ng algebra)

[@janavegailjava2039]

made easy

[@meriejanecombate567]

Sir paano po yong pagkuha ng relative error at approximate error sir? Thaankyouu po

[@engrleir]

Meron po akong video ng rootfinding using excel. Nandoon po naglagay ako ng column for the relative error. You can find it here kzbin.info/www/bejne/on-Ue4ulodB-ea8 sa dulo gumamit ako ng excel and merong onti about relative error.

[@Izzatillakhon]

how to find the cube root of 125? using this method

[@engrleir]

Just set the function. f(x) = x^3-125.

[@davidchadricks.3807]

Paano po kunin yung rrlative error?

[@EngrJAD]

i think negative pa din si yL sa ratio and proportion.

[@EngrJAD]

using excel if positive si yL walang convergence na magaganap

[@EngrJAD]

and the formula is the same with the secant method, kasi sa regula-falsi method gumagamit ka rin ng secant line.

[@EngrJAD]

aaaah yun ang ginamit mo pala is (yL - yR) kaya nag converge pa din

[@lemuelcericos3395]

Paano po yung tinutukoy niyong sign change?

[@johncalvinbondoc8218]

Kung nag negative yung Ynew mo, papalitan mo ng Xnew yung X na nagyield ng negative na Y.

[@codevanie-misery]

bat iba yung lumalabas na formula sa internet?

[@ronaldybanez7056]

Iba gamit mo na formula

[@jacobmarkmalunay3412]

Sir nalilito po ako sa pag guess Ng Xl and Xr po:-(

[@engrleir]

One way is to plot the function para matantsa natin ung location ng roots.

[@minjinseo3681]

@@engrleir sir, arbitrary lang po ba between root yung Xl and Xr kapag natantsa yung location ng root sa graph? or basta nagla-lie lang po yung points sa graph ng function to guess Xl and Xr?

[@AJ-et3vf]

@@minjinseo3681 when it comes to bracketing methods, dapat yung sign ng function values mo at the endpoints are opposite of each other i.e. negative and positive.