\( \left. \begin{array} { l } { 100 \frac { d ^ { 2 } y ( t ) } { d t ^ { 2 } } + 5 \frac { d y ( t ) } { d t } + 4 y ( t ) = \frac { d x ( t ) } { d t } } \end{array} \right. \)

\( \int _{}^{}(\frac{5}{\sin (x^{2})-3x^{2}+e^{x}}) d x \)

2. \( -\lim _{x=5} \frac{4 x^{2}-2}{2 x+1} \)

Find the integral. \( \int 8 e^{4 y} d y \)

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by \( E^{\prime}(x)=12 x+10 \), where \( x \) is the number of days since the start of the job. Find the expenditure if the job takes 4 days. A. \( \$ 5,800 \) B. \( \$ 13,600 \) C. \( \$ 136 \) D. \( \$ 58 \)

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by \( E^{\prime}(x)=12 x+10 \), where \( x \) is the number of days since the start of the job. Find the expenditure if the job takes 4 days. A. \( \$ 5,800 \) B. \( \$ 13,600 \) C. \( \$ 136 \) D. \( \$ 58 \)