y(x) = 2+\int_{2}^{x} (t-ty(t))dt. 6. (2,5 pontos) Use a de...

y(x) = 2+\int_{2}^{x} (t-ty(t))dt.

(2,5 pontos) Use a desigualdade de Cauchy-Schwarz para provar a desigualdade triangu- lar: se $a, b \in \mathbb{R}^n$ , então

$|a+b| \leq |a|+|b|$

com igualdade se e somente se $b = \alpha a$ ou $a = \alpha b$ com $\alpha \geq 0$ .

ΝΟΤΑ ΤΟΤAL:

Resolva o numero 6

$y(x) = 2+\int_{2}^{x} (t-ty(t))dt. 6. (2,5 pontos) Use a desigualdade de Cauchy-Schwarz para provar a desigualdade triangu- lar: se $a, b \in \mathbb{R}^n$, então $|a+b| \leq |a|+|b|$ com igualdade se e somente se $b = \alpha a$ ou $a = \alpha b$ com $\alpha \geq 0$. ΝΟΤΑ ΤΟΤAL:$

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