(4) show that \( \lim _{z \rightarrow a} \) \( \frac{i z^{3}+i z-1}{2 z+3 i(z-i)} \)

(d.) \( f(x)=\left(\frac{x+5}{x^{2}+2}\right)^{2} \)

The area of a rectangular cross-section of a solid is given by the dimensions in terms of a linear function: width = \(x\) and height = \(3 - x\) for \(0 \leq x \leq 3\). Calculate the volume of the solid when these rectangles are stacked from \(x=0\) to \(x=3\).

Determine the distance traveled by a particle moving along the curve \( y = \sin(x) \) from \( x = 0 \) to \( x = \pi \).

\( \int \frac { d x } { x ^ { r } + 4 x + 11 } \)

\( \left. \begin{array} { l } { f ^ { \prime } ( x ) = 4 \sqrt { x ^ { 3 } } + k x ^ { - 2 } } \\ { f ^ { \prime \prime } ( x ) = } \end{array} \right. \)