Only need #5-8

Time Total Amount in Blood |Let's examine what is happening using a different model: (days Stream (mg) 0 10 5. Run logistic regression (as demonstrated in the lecture 15.76 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 hours. Call this model A(t). Store this model in V1 in your calculator and then write the model 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 Lexapro quantity is increasing at time 2 days b. at 4 days c. at 6 days. 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. the medication has been fully metabolized, it is eliminated continuously from the body at a rate of approximately 2.3%% per hour. Steady-state concentrations are achieved within 7-10 days of administration. Source: https://pubmed.ncbi.nim.nib.cox 1. A patient with takes their first dose of Lexapro. Use the exponential model P(t) = Poe to show how much Lexapro is left one day (or 24 hours) later. Show your work. 2. This patient takes a second dose of Lexapro 24 hours after the first dose. With the amount remaining from the previous dose (see question #1], how much will they now have in their bloodstream? Show your work. 3. How much of this amount is left 24 hours after taking that that second dose? Show your work. 4. Complete this table Time Amount Remaining from New Dose Total Amount in Blood displaying how Lexapro (days Previous Doses (me) Added (mg) Stream (mg) accumulates in the body NA 10 10 over the course of 10 5.76 10 15.76 day's. 9.07 10 10 10 10 10