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MATEMÁTICA PURA
Disciplina: Análise Matemática
![](https://static.wixstatic.com/media/26a617_e377724f92d4452d8da35a9d529cfd47.gif)
Funções Quadráticas
(Introdução)
Introdução: Funções Quadráticas
![](https://static.wixstatic.com/media/26a617_dc697f462e77464cb1db275804f5a25a.png/v1/fill/w_48,h_19,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_dc697f462e77464cb1db275804f5a25a.png)
![](https://static.wixstatic.com/media/26a617_0a5c94822577484694795a84f4577356.png/v1/fill/w_48,h_29,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_0a5c94822577484694795a84f4577356.png)
![](https://static.wixstatic.com/media/26a617_ba3d126b3606448ba0a57a57a0030ed9.png/v1/fill/w_48,h_29,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_ba3d126b3606448ba0a57a57a0030ed9.png)
![](https://static.wixstatic.com/media/26a617_f98b23bbe25e470da0fd6772bd81d7e7.png/v1/fill/w_48,h_9,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_f98b23bbe25e470da0fd6772bd81d7e7.png)
![](https://static.wixstatic.com/media/26a617_51ca9dd6947d4f78870077f79f3dcf6c.png/v1/fill/w_48,h_12,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_51ca9dd6947d4f78870077f79f3dcf6c.png)
![](https://static.wixstatic.com/media/26a617_60171fed6a444c1ea25fd92d5f0dfc99.png/v1/fill/w_48,h_28,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_60171fed6a444c1ea25fd92d5f0dfc99.png)
![](https://static.wixstatic.com/media/26a617_bacc0ab5d9654496ae5d6624ffc8cbc8.png/v1/fill/w_48,h_20,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_bacc0ab5d9654496ae5d6624ffc8cbc8.png)
![](https://static.wixstatic.com/media/26a617_40790f69faa54ed4b3b76d175a974fab.png/v1/fill/w_48,h_26,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_40790f69faa54ed4b3b76d175a974fab.png)
![](https://static.wixstatic.com/media/26a617_f957eebd44214912b6579c5d26c1e128.png/v1/fill/w_48,h_29,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_f957eebd44214912b6579c5d26c1e128.png)
![](https://static.wixstatic.com/media/26a617_fd2902bcebb34258a3b8e2a7ba2c6c1f.png/v1/fill/w_48,h_19,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_fd2902bcebb34258a3b8e2a7ba2c6c1f.png)
Terminologia Utilizada:
1) Forma Quadrática;
2) Representação Matricial de Seções Cônicas;
3) Quádrica;
4) Pontos Periódicos de Mapeamentos de Quadráticos Complexos; e
Exemplo de uma Função Quadrática em duas variáveis, isto é Q:R² → R.
Note que o Mínimo desta função é obtido no ponto (x1,x2)=(0,0) e o correspondende valor Q(x1,x2)=1.
![](https://static.wixstatic.com/media/26a617_f56c864a76e74b6298d99e2b39da3328.png/v1/fill/w_65,h_69,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/26a617_f56c864a76e74b6298d99e2b39da3328.png)
![Função quadrática duas variável.png](https://static.wixstatic.com/media/26a617_75f6689686c449c09c7b3e788bbaed4f~mv2.png/v1/fill/w_75,h_11,al_c,q_85,usm_0.66_1.00_0.01,blur_2,enc_auto/Fun%C3%A7%C3%A3o%20quadr%C3%A1tica%20duas%20vari%C3%A1vel.png)
Prof. Elon Lages Lima - IMPA -
Euler - O Problema dos Dois Sócios
A partir de 08 Out de 2020
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