Determine the area bounded by the functions \( y = \sin(x) \) and \( y = \cos(x) \) within the interval \( [0, \frac{\pi}{2}] \).

\( f(x, y)=x^{2} y-x y^{2} \) olduğuna göre, f(-1,1) kaçtır? \( \begin{array}{lllll}\text { A) } 0 & \text { B) } 4 & \text { C) }-1 & \text { D) } 2 & \text { E) }-2\end{array} \)

If a car has an acceleration function of \( a(t) = 6t \), what is its velocity function assuming it starts from rest?

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 \(x=3\).

(j.) \( y=\ln \sqrt{\frac{2}{x^{3}}} \)

If a car has an acceleration function of \( a(t) = 6t \), what is its velocity function assuming it starts from rest?