Time Time Total Amount in (hours) (days) Blood Stream (mg) 0 20 24/ 1 28.43 48 2 72 3 96 120 144 456 31.98 33.48 34.11 34.37 34.49 168 7 84.54 192 8 84.56 216 9 34.07 240 10 84.57 Let's examine what is happening using a different model: 5. Run logistic regression (as demonstrated in the lecture for section 4.7) on your completed data table (see right) to find a model for the total amount in the blood stream as a function of t in DAYS. Call this model A(t). Store this model in Y1 in your calculator and then write the del below. 6. Use your derivative rules to find a model for the instantaneous rate of change of the amount in the blood stream as a function of time in hours, A'(t). Show your work in the space below. 7. Use your model for A'(t) and/or the nDeriv function to calculate how quickly the Crestor quantity is increasing: a. at time 1 day b. at 2 days (t=2) c. at 3 days (t=3) 8. Using your understanding about the logistic model, what will happen to the total amount in the bloodstream if this patient continues this routine long-term? Draw a reasonable sketch of A(t) to support your claim. Roctor # 40- 30. 20 10- 10