2) Найдите наибольшее и наименьшее значения функции на анном отрезке: \( \begin{array}{ll}\text { а) } f(x)=0,8 x^{5}-4 x^{3},[-1 ; 2] ; & \text { б) } f(x)=x-\sin 2 x, \quad\left[0 ; \frac{\pi}{2}\right] \\ \text { в) } f(x)=3 x^{2}-2 x^{3},[-1 ; 4] ; & \text { г) } f(x)=x^{2}(6-x), \\ {[-1 ; 5] .}\end{array} \)

A car's velocity is given by the function \( v(t) = 5t^2 + 3 \). Calculate the distance traveled by the car from time \( t = 0 \) to \( t = 4 \).

1. \( \lim _{x \rightarrow 2} \frac{x-2}{x^{2}-x-2} \) \begin{tabular}{l|l|l|l|l|l|}\( x \) & 1.9 & 1.99 & 1.999 & 2 & 2.001 \\ \hline\( f(x) \) & 2.01 & 2.1 \\ \hline\end{tabular}

\( \left. \begin{array} { l } { \lim _ { x \rightarrow 2 } \frac { x - 2 } { x ^ { 2 } - x - 2 } } \\ { \left. \begin{array} { l | l | l | l | l | l | l | l } { x } & { } \\ \hline f ( x ) & { 1.9 } & { 1.99 } & { 1.999 } & { 2 } & { 2.001 } & { 2.01 } & { 2.1 } \\ \hline \end{array} \right. } \end{array} \right. \)

\( \left. \begin{array} { l } { \lim _ { x \rightarrow 2 } \frac { x - 2 } { x ^ { 2 } - x - 2 } } \\ { \left. \begin{array} { l | l | l | l | l | l | l | l | } { } \\ { x } & { 1.9 } & { 1.99 } & { 1.999 } & { 2 } & { 2.001 } & { 2.01 } & { 21 } \\ \hline f ( x ) & { } & { } & { } & { } & { } \end{array} \right. } \end{array} \right. \)

\( \int 9 ^ { x ^ { k } + r _ { x } } . \)