Find the Function with the Given Derivative Whose Graph Passes $\mathrm { r } ^ { \prime } ( \theta ) = \csc \theta \cot \theta - 3 , \mathrm { P } \left( \frac { 2 \pi } { 3 } , 0 \right)$

question 234

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $\mathrm { r } ^ { \prime } ( \theta ) = \csc \theta \cot \theta - 3 , \mathrm { P } \left( \frac { 2 \pi } { 3 } , 0 \right)$

• A) \(r ( \theta ) = \csc \theta - 3 \theta + \frac { 6 \pi + 2 \sqrt { 3 } } { 3 }\)
• B) \(r ( \theta ) = - \csc \theta - \frac { t ^ { 9 } } { 3 }\)
• C) \(r ( \theta ) = - \csc \theta - 3 \theta\)
• D) \(r ( \theta ) = - \csc \theta - 3 \theta + \frac { 6 \pi + 2 \sqrt { 3 } } { 3 }\)

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