Coffee Break prepares a blend of coffee containing Arabica beans and Brazil beans in the ratio \( 4: 3 \). (a) Calculate the weight of Arabica beans in a blend of 455 g .

\( 1 \leftarrow \quad \left. \begin{array} { l } { \frac { 1 } { 4 } } \\ { \frac { 1 } { 4 } = \square } \end{array} \right. \)

EXAM CODE 01 2. a) Find the derivative of \( r(t)=a t \cos (3 t) i+b \sin ^{3} t \boldsymbol{j}+c \cos ^{3} t \boldsymbol{k} \). [7 marks]

Rotate the given triangle \( 90^{\circ} \) counter-clockwise about the origin. \( \left[\begin{array}{ccc}-1 & 2 & 2 \\ -1 & -1 & 3\end{array}\right] \) \( \left[\begin{array}{ccc}1 & {[?]} & {[]} \\ -1 & {[ } & {[]}\end{array}\right] \)

19. Schreibe in der Maßeinheit, die in Klammern steht. \( \begin{array}{lll}\text { a) } 3 \cdot 10^{-3} \mathrm{~kg}(\mathrm{~g}) & \text { b) } 2 \cdot 10^{-2} \mathrm{~g}(\mathrm{~kg}) & \text { c) } 5 \cdot 10^{-10} \mathrm{~m} \\ (\mathrm{~mm})\end{array} \)

b) \( \frac{-3 x^{2}}{}=3 x \)