Question: The table shows values of the viral load V(t) in HIV patient 303, measured in RNA copies/mL, t days after ABT-538 treatment was begun. (a)

The table shows values of the viral load V(t) in HIV patient 303, measured in RNA copies/mL, t days after ABT-538 treatment was begun.

11 4 15 22 V(1) 53 5.2 18 9.4 3.6


(a) Find the average rate of change of V with respect to t over each time interval:

(i) [4, 11] 

(ii) [8, 11]

(iii) [11, 15]

(iv) [11, 22]

What are the units?

(b) Estimate and interpret the value of the derivative V′(11).

11 4 15 22 V(1) 53 5.2 18 9.4 3.6

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