Bestimme die Ableitung. \( f(x)=-\cos (x) \) \( f^{\prime}(x)= \) \( \sin (x) \) \( -\sin (x) \) \( \cos (x) \) \( -\cos (x) \)

Encontrar \( f(t) \) si \( \rho(s)=\frac{s}{s^{2}+6 s+10} \)

One measure of living standards in country \( A \) is given by the following formula \( L(t)=7+4 e^{0.14 t} \) In this formula \( t \) is the number of years since 1982. Find \( L \) to the nearest hund \( \begin{array}{ll}\text { (a) } 1988 & \text { (b)1998 } \\ \text { (c)2007 }\end{array} \) \( \begin{array}{l}\text { (a) Find } L \text { for } 1988 . \\ \text { (Round to the nearest hundredth as needed.) } \\ \text { (b) Find } L \text { for } 1998 . \\ L=\square\end{array} \) (Round to the nearest hundredth as needed.) (c) Find \( L \) for 2007 .

\( \int \frac { \operatorname { cen } x d x } { \cos x ( \cos x - 1 ) } \)

Encontrar \( f(t) \) si \( F(s)=\frac{2}{(s+2)^{4}}+\frac{3}{s^{2}+16}+\frac{5(s+1)}{s^{2}+2 s+5} \)

Find the value. \[ \begin{array}{l}\operatorname{In}\left(\frac{92}{20}\right) \\ \text { In }\left(\frac{92}{20}\right) \approx \square \\ \text { (Round the final answer to four decimal places as needed. Round }\end{array} \]