Question
Use the graph of $ V $ in Figure 11 to estimate the half-life of the viral load of patient 303 during the first month of treatment.
Step 1
From the graph, we can see that at about day 0.5, the viral load is approximately 40 units. Show more…
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Half-life of HIV Use the graph of $V$ in Figure 12 to estimate the half-life of the viral load of patient 303 during the first month of treatment.
Functions and Sequences
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In Example 4 , the patient's viral load $V$ was $76.0$ RNA copies per mL after one day of treatment. Use the graph of $V$ in Figure 11 to estimate the additional time required for the viral load to decrease to half that amount.
Functions and Models
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) 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) $.
Limits and Derivatives
Derivatives and Rates of Change
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