Solve the Initial Value Problem $$\frac { \mathrm { dr } } { \mathrm { dt } } = 6 \mathrm { t } + \sec ^ { 2 } \mathrm { t } , \mathrm { r } ( - \pi ) = 5$$

question 320

Multiple Choice

Solve the initial value problem.
- $$\frac { \mathrm { dr } } { \mathrm { dt } } = 6 \mathrm { t } + \sec ^ { 2 } \mathrm { t } , \mathrm { r } ( - \pi ) = 5$$

• A) \(r = 3 t ^ { 2 } + \cot t + 5 - 3 \pi ^ { 2 }\)
• B) \(r = 6 + \tan t - 1\)
• C) \(r = 3 t ^ { 2 } + \tan t + 5 - 3 \pi ^ { 2 }\)
• D) \(r = 6 t ^ { 2 } + \tan t + 5 - 6 \pi ^ { 2 }\)