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Let x(t)=200(1e3200t)x ( t ) = 200 \left( 1 - e ^ { - \frac { 3 } { 200 } t } \right)

question 157

Essay

Let x(t)=200(1e3200t)x ( t ) = 200 \left( 1 - e ^ { - \frac { 3 } { 200 } t } \right) be the amount of salt (in kg) in a tank after time t minutes. Find:
(a) How much salt is in the tank after 1 hour?
(b) Find the rate of change of salt after 1 hour?

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Definitions:

Psychological Capital

The state of well-being of a person, marked by their belief in their own competencies, a hopeful perspective, future-oriented desires, and their ability to bounce back from adversity.

Self-Efficacy

A person's belief in their own ability to complete tasks and achieve goals.

Optimism

Making internal attributions about positive events in the present and future and external attributions about negative events.

Hope

Persevering toward one’s goals and, when necessary, making changes and using multiple pathways to achieve one’s goals.

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