Solve the Initial Value Problem A) $\mathrm { r } = \frac { 1 } { 6 } \csc ^ { 3 } 15 \theta \cot ^ { 2 } 15 \theta + 3$

question 261

Multiple Choice

Solve the initial value problem.
- $\frac { \mathrm { dr } } { \mathrm { d } \theta } = \csc ^ { 2 } 15 \theta \cot 15 \theta , \quad \mathrm { r } \left( \frac { \pi } { 4 } \right) = 3$

• A) \(\mathrm { r } = \frac { 1 } { 6 } \csc ^ { 3 } 15 \theta \cot ^ { 2 } 15 \theta + 3\)
• B) \(r = \frac { 1 } { 30 } \cot ^ { 2 } \theta + \frac { 89 } { 30 }\)
• C) \(r = - \frac { 1 } { 30 } \tan ^ { 2 } 15 \theta + \frac { 91 } { 30 }\)
• D) \(\mathrm { r } = - \frac { 1 } { 30 } \cot ^ { 2 } 15 \theta + \frac { 91 } { 30 }\)

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