Question: Problem 6. Sonsider the following model which approximates the amount of chemical xremaining in a person's body after an injection at time t=0 :f(t)=1.903t4+0.03t2-0.03e-4t+0.03where f(t)

Problem 6. Sonsider the following model which approximates the amount of chemical xremaining in a person's body after an injection at time t=0 :f(t)=1.903t4+0.03t2-0.03e-4t+0.03where f(t) represents the amount of chemical x, measured in units of100 grams; and t representstime, measured in units of minutes.(a) Complete the following table:(b) Based on the data captured above, describe the behavior off(t)in the first 40 minutes afterinjection.(c) Calculate f(105),f(107) and f(109).Do they agree with the value oflimtf(t)? Interpretthe results.

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