Find the Function with the Given Derivative Whose Graph Passes $\mathrm { r } ^ { \prime } ( \theta ) = 5 - \csc ^ { 2 } \theta , \mathrm { P } \left( \frac { \pi } { 4 } , 0 \right)$

question 177

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $\mathrm { r } ^ { \prime } ( \theta ) = 5 - \csc ^ { 2 } \theta , \mathrm { P } \left( \frac { \pi } { 4 } , 0 \right)$

• A) \(r ( \theta ) = 5 \theta + \cot \theta - \frac { 5 } { 4 } \pi - 1\)
• B) \(r ( \theta ) = 5 \theta - \cot \theta - \frac { 5 } { 4 } \pi + 2\)
• C) \(r ( \theta ) = 5 \theta - \cot \theta - \frac { 5 } { 4 } \pi - 2\)
• D) \(r ( \theta ) = 5 \theta + \cot \theta - \frac { 5 } { 4 } \pi + 1\)

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