Suppose that in a memory experiment the rate of memorizing is given by \( M^{\prime}(t)=-0.005 t^{2}+0.6 t \), where \( M^{\prime}(t) \) is the memory rate, in words per minute. How many words are memorized in the first 10 minutes? words

\( F ( x ) = \int _ { x } ^ { x ^ { 2 } } e ^ { t ^ { 7 } } d t \)

\( \sum _ { n = 1 } ^ { \infty } \frac { 1 \cdot 3 \cdot 5 \cdot \ldots \cdot ( 2 n - 1 ) } { 2 \cdot 5 \cdot 8 \cdot \ldots \cdot ( 3 n - 1 ) } \)

\( f : R ^ { 2 } \rightarrow R , f ( x , y ) = 2 x ^ { 2 } + 3 x y + 4 y ^ { 2 } - 5 x + 2 y + 2024 \)

Find \( \int_{C} \bar{z} d z \), where \( C \) is a semicizcle \( |z|=1 \)

\( \int _ { 2 } ^ { 5 } \int _ { 0 } ^ { \pi / 2 } r \cos \theta r \sin \theta d \theta d r = \)