Referat guruh: sae-4 Bajardi: Norbo’riyev Bekzod Beknazar o’g’li Tekshirdi : Tuychiyeva Sayyora Taxirovna


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  1. masala: Ayniyatni isbotlang:


Isbot:


  1. masala: Agar yoyilmaning va hadlari mos ravishda va ga teng bo‟lsa, larni toping. Yechish: Berilgan yoyilmaning va hadlarini

formulaga ko‟ra yozib olaylik:

Hosil bo‟lgan tenglamalar sistemsini yechamiz:


Bundan ushbu tenglikka kelamiz:

Demak, ekan.
larning qiymatlarini topishni o‟quvchiga qoldiramiz.

Binomial teoremani umumlashtirib polinomial teoremani ham keltirishimiz mumkin:
TEOREMA (POLINOMIAL TEOREMA):
ko„rinishdagi qo„shiluvchilar yig„indisidan iboratdir, bu yerda r1 r2 ...rk n ya‟ni:

Polinomial teoremada bo‟lganda

tenglikka ega bo‟lamiz.
Demak Nyuton binomi formulasi Polinomial teoremaning xususiy holi ekan.


FOYDALANILGAN ADABIYOTLAR

1. Bauman G. Mathematics for engineers I. Oldenbourg Wissenschaftsverlag GmbH. 2010.


2. Bauman G. Mathematics for engineers II. Oldenbourg Wissenschaftsverlag GmbH. 2010.
3. Canuto C., Tabacco A. Mathematical Analysis I. Springer-Verlag Italia, Milan 2008
4. Canuto C., Tabacco A. Mathematical Analysis II. Springer-Verlag Italia, Milan 2008.
5. Stewart J. Calculus Concepts and Contexts, S.BookFi., 2010 y. p.1160.
6. Ummer E.K. Basic Mathematics for Economics, Business, and Finance. – USA and Canada: Routlege, 2012.
7. Wolfgang Ertel. Advanced Mathematics for Engineers, Hochschule RavensburgWeingarten, University of Applied Sciences, 2012 y., p.227.
8. Берман Г.Н. Сборник задач по курсу математическая анализа. Москва, 2016 -492с
9. Демидович Б.П. Сборник задач и упражнений по математическому анализу. Москва, 2005
10. Кузнецов Л. А. Сборник заданий по высшей математике (типовые расчеты) — СПб.: Лань, 2005
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