Q. \( 10[\mathrm{CO} 4] \) Find the maxima and minima of the following functions, if exist: \( \begin{array}{l}\text { a) } f(x)=x^{3}-3 x^{2}+2 \\ \text { b) } f(x)=x^{2}+1 \\ \text { c) } f(x)=3 x^{3}-9 x+1\end{array} \)

\( \int _ { - 2 } ^ { 2 } ( x ^ { 3 } \cos \frac { x } { 2 } + \frac { 1 } { 2 } ) \sqrt { 4 - x ^ { 2 } } d x \)

2. Hitung nilai integral berikut dengan batas-batas yang diberikan: \[ \int_{1}^{3}\left(2 x^{3}-4 x^{2}+x\right) d x \]

19. Find critical points of \( f(x, y, z)=x y+y z \) with constraints \( x^{2}+y^{2}=8 \) dan \( y z=8 \)

3. Hitung luas daerah yang dibatasi oleh kurva \( y=x^{2} \) dan \( y=4 x-x^{2} \)

Given the curves \( y = x^{2} \) and \( y = 4 - x^{2} \), find the area between these two curves.