A rectangular container is partially filled with \( 1-\mathrm{cm} \) cubes as shown b What is the volume of the container that is not filled with cubes?

Solve the equation \( 3 x^{2}+4 x-12=0 \) Give your solutions correct to 2 decimal places.

Плоскость \( \alpha \) пересекает стороны \( A C \) и \( B C \) треугольника \( A B C \) в точках \( A_{1} \) и \( B_{1} \) соответственно, так что \( A A_{1}: A_{1} C=B B_{1}: B_{1} C=1: 3 \). Докажите, что \( A B \| \alpha \) и найдите \( A_{1} B_{1} \), если \( A B=12 \).

Which of the following best describe the statement \( (\neg p \vee q) \oplus(p \rightarrow q) \) ? contradiction contingency negation tautology

\( \left\{ \begin{array} { l } { y ^ { \prime \prime \prime } + 3 y ^ { \prime \prime } + 3 y ^ { \prime } + y = 0 } \\ { y ( 0 ) = 4 } \\ { y ^ { \prime } ( 0 ) = - 1 } \\ { y ^ { \prime \prime } ( 0 ) = 2 } \end{array} \right. \)

\( \left\{ \begin{array} { l } { y ^ { \prime \prime } + 4 y = - 24 e ^ { 2 x } } \\ { y ( 0 ) = 2 } \\ { y ^ { \prime } ( 0 ) = - 2 } \end{array} \right. \)