Find the Absolute Maximum of the Function $$f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]$$

question 51

Short Answer

Find the absolute maximum of the function. $$f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]$$

---

Definitions:

Elite Women Athletes

High-performing female athletes who compete at the top level of their sports.

Gymnastics

A sport involving the performance of exercises requiring physical strength, flexibility, agility, coordination, balance, and grace.

Feeding

The act of supplying food to oneself or others, including the procurement, preparation, and intake of nutrition.

Eating Disorder

A mental disorder characterized by abnormal eating habits that negatively affect a person's physical or mental health.