b. What are the \( (x, y) \) coordinates on the graph of \( f(x) \) where the line tangent to the curve is horizontal. Justify your response by referencing specific features of the graph of \( f^{\prime}(x) \),

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

\( f : R ^ { 2 } \rightarrow R , f ( x , y ) = 2 x ^ { 2 } + 3 x y + 4 y ^ { 2 } - 5 x + 2 y + 2024 \)

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

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.

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. \[ g(x)=9 x+\frac{1}{x} \]