Two Chemicals React to Form Another Chemical Where $x ( t )$

question 44

Essay

Two chemicals react to form another chemical.Suppose that the amount of chemical formed in
time t (in hours) is given by $$x ( t ) = \frac { 11 \left[ 1 - \left( \frac { 2 } { 3 } \right) ^ { 3 t } \right] } { 1 - \frac { 1 } { 4 } \left( \frac { 2 } { 3 } \right) ^ { 3 t } }$$
where $x ( t )$ is measured in pounds.
a. Find the rate at which the chemical is formed when $t = 4$ . Round to two decimal places.
b. How many pounds of the chemical are formed eventually?

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