Let's examine what is happening... 6. Use your derivative rules to find a model for the instantaneous rate of change of the amount of Zoloft in the blood stream as a function of time in days, P'(t). Show your work! 15pomts Let's examine what is happening... 7. Use your model for P'(t) to calculate how quickly the Zoloft quantity is increasing at the following times: 15 points a. 1 day. b. 3 days. c. 7 days.MAth in Context 4: A typical starting dose is 50 mg taken once daily. After the medication has been fully metabolized, it is eliminated continuously from the body at a rate of approximately 2.7% per hour. Steady-state concentrations are achieved within a week of daily administration. Time Amount Remaining from (days) New Dose Previous Doses (mg) Total Amount in the Added (mg) Blood Stream (mg) 0 NA 50 50 1 26.15 4. Fill in the table, 50 76.15 displaying how 2 39.83 50 89. 83575 Zoloft 3 accumulates in 46- 9926 50 96. 99226 the body over 4 50.73577 50 the course of ten 100.7358 5 days. 10 points 52. 69397 50 102. 694 6 53. 71828 50 103. 7183 7 54. 25409 50 104. 2541 8 54. 5 3 437 50 104. 5344 9 54. 68098 50 104. 681 10 54. 75 767 50 104. 7577Let's examine what is happening... 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 sketch of P(t) to support your claim and explain your answer in a Zoom video. 15 points a. Draw a sketch of P(t) on the axes to the right or include the graph provided by the Logistic Regression Calculator. Q b. Audio link: Let's examine what is happening... Time Total Amountin (days) Blood Stream (mg) 5. Run logistic regression on your 0 50 completed data table to find a model for the total amount of Zoloft in the blood stream as a function of time in days, P(t). Logistic Regression Calculator. 15 points 76.15 LDOONONU'l-bUJNH |_\\ O