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 2

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:

Mental Energy

Mental energy refers to the cognitive resources and exertion needed to perform mental tasks, often associated with the capacity for concentration and mental effort.

Psychic Energy

In psychoanalysis, a vital force that powers the mind and motivates behavior, distributed among the id, ego, and superego.

Empirical Scrutiny

The rigorous examination and verification of facts through observation and experimentation.

Psychoanalysts

Professionals trained in psychoanalysis who study how unconscious motives and conflicts shape feelings, thoughts, and behaviors.