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

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Definitions:

Willful

Describing actions or behaviors done intentionally or with a strong determination.

Docile

Easily taught, led, or managed; compliant and submissive.

Dependent

Describes an individual who relies on another for support, often related to financial, emotional, or physical needs, such as a child to a caregiver.

Passive

A behavior characterized by inactivity or a lack of response to external stimuli or situations.