Let $f ( \theta , \phi ) = \sin ^ { 2 } 2 \theta \cos ^ { 3 } 2 \varphi$

question 68

Short Answer

Let $f ( \theta , \phi ) = \sin ^ { 2 } 2 \theta \cos ^ { 3 } 2 \varphi$ .Find $\left. \frac { \partial f } { \partial \theta } \right| _ { ( \theta = \pi / 6 , \varphi = \pi / 8 ) }$ to 3 decimal places.

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Definitions:

Social Anxiety Disorder

A mental health condition characterized by an intense, persistent fear of being watched and judged by others in social situations.

Animal Type Phobia

A type of specific phobia involving an intense, irrational fear of certain animals.

Observational Learning

A learning process through which behaviors are acquired by watching and imitating others.

Classical Conditioning

Form of learning in which a neutral stimulus becomes associated with a stimulus that naturally elicits a response, thereby making the neutral stimulus itself sufficient to elicit the same response.