Prove That the Function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$

question 141

Essay

Prove that the function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$ , where a > 1 and b > 1, is increasing for all values of t.

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Definitions:

Transference Problem

In psychotherapy, the redirection of a patient's feelings for a significant person to the therapist.

Problem of Intimacy

Issues or difficulties in establishing or maintaining close, personal relationships, often explored in therapeutic settings.

Psychoanalysis

A therapeutic approach that explores the unconscious influences on behavior and thoughts, developed by Sigmund Freud.

Adjustment

The process of adapting or becoming more suited to a new environment or condition, often involving changes in behavior or thinking.