IV. Lia droite \( y-x-1-0 \) est une asymptote de la courbe representative \( \mathrm{f}(\mathrm{x})=\frac{\mathrm{x}^{2}+6 \mathrm{x}+2}{\mathrm{x}+1} \) si \( \mathrm{b}= \) \( \begin{array}{lllll}\text { 1. }-1 & 2.3 & 3.2 & 4 .-3 & 5 . \frac{2}{3}\end{array} \)

Encuentre el volumen del solido que está debajo del paraboloide elíptico \( \frac{x^{2}}{4}+\frac{y^{2}}{9}+z=1 \) y arriba del rectángulo \( R=[-1,1] \times[-2,2] \)

\( y ^ { \prime \prime } - 16 y = 2 e ^ { 4 x } \)

Suppose an object moves along a line at \( 16 \mathrm{~m} / \mathrm{s} \) for \( 0 \leq \mathrm{t} \leq 3 \mathrm{~s} \) and at \( 26 \mathrm{~m} / \mathrm{s} \) for \( 3<t \leq 5 \mathrm{~s} \). Sketch the graph of the velocity function and find the displacement of the object for \( 0 \leq \mathrm{t} \leq 5 \) the displacement of the object for \( 0 \leq 1 \leq 5 \) is

2. \( \int_{2}^{2}\left(5 x^{2}+3 x+5\right) \cdot d x=\left({ }_{2}^{3}\left(5 x^{2}+8 x+5\right) d x\right. \) 3. \( \int_{2}^{3}\left(x^{3}+9\right) \cdot d x= \)

\( \frac{d}{dx}(y^{3}\sqrt {x^{2}+y})=\frac{d}{dx}(x) \)