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Let x(t)=200(1−e−3200t)x ( t ) = 200 \left( 1 - e ^ { - \frac { 3 } { 200 } t } \right)

Question 157

Essay

Let x(t)=200(1−e−3200t)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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