The Function $f ( x , y ) = c x ^ { 2 } + 5 y$

question 74

Short Answer

The function $f ( x , y ) = c x ^ { 2 } + 5 y$ has an average value of 4 on the triangle with vertices at (0, 0), (0, 1)and (1, 0).Find the constant a.

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Definitions:

Cognitive-behavioral Therapy

A psychotherapeutic approach that addresses dysfunctional emotions, behaviors, and cognitions through a goal-oriented, systematic procedure.

Somatoform Disorders

A group of psychological disorders in which patients experience physical symptoms that have no identifiable physical cause, often linked to psychological factors.

Anxiety Disorders

A category of mental health disorders characterized by feelings of anxiety and fear, where anxiety is a worry about future events and fear is a reaction to current events.

Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.