103. Medicine. Tests show that a new ointment \( X \) helps heal wounds. If \( A_{0} \) square millimeters is the area of the original wound, then the area \( A \) of the wound after \( n \) days of application of the ointment \( X \) is given by \( A=A_{0} e^{-0.43 n} \). If the area of the original wound was 10 square millimeters, find the area of the wound after ten days of application of the new ointment.

Soit \( f \) la fonction définie sur \( \mathbb{R}^{+} \operatorname{par} f(x)=\frac{2 \sqrt{x}}{x+1} \) Monter que \( f \) est majoréeqar 1. \( f \) est-elle bornée? Justifier votre réponse.

\( \int _ { 2 } ^ { 5 } \int _ { 0 } ^ { \pi / 2 } r \cos \theta r \sin \theta d \theta d r = \)

\( F ( x ) = \int _ { x } ^ { x ^ { 2 } } e ^ { t ^ { 7 } } d t \)

7 Determina os intervalos de monotonia da função \( g \) a seguir definida, em \( \mathbb{R} \backslash\{0\} \), e iden- tifica os extremos relativos e absolutos, caso existam. \[ g(x)=9 x+\frac{1}{x} \]

find the easiest solution, please: 1) \( \frac{\lim }{12} \frac{x^{5} \sqrt[3]{x+6}-64}{x-2}= \)