Find the Function with the Given Derivative Whose Graph Passes $$\mathrm { f } ^ { \prime } ( \mathrm { x } ) = \mathrm { e } ^ { 5 \mathrm { x } } , \mathrm { P } \left( 0 , \frac { 11 } { 5 } \right)$$

question 67

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $$\mathrm { f } ^ { \prime } ( \mathrm { x } ) = \mathrm { e } ^ { 5 \mathrm { x } } , \mathrm { P } \left( 0 , \frac { 11 } { 5 } \right)$$

• A) \(f ( x ) = e ^ { 5 x } + \frac { 11 } { 5 }\)
• B) \(f ( x ) = \frac { 1 } { 5 } e ^ { 5 x } + \frac { 11 } { 5 }\)
• C) \(f ( x ) = \frac { 1 } { 5 } e ^ { 5 x + 2 }\)
• D) \(f ( x ) = 5 e ^ { 5 x } + 2\)

Understand the various problem-solving approaches (systematic, intuitive, etc.) and their characteristics.

Distinguish between different types of thinkers (systematic thinkers, problem seekers, intuitive thinkers, etc.) and their problem-solving strategies.

Identify and categorize problems as structured, unstructured, or requiring strategic opportunism.

Recognize the importance of proactive problem identification and resolution for effective management.

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