'37 . The viral load for an HIV patient is 52.0 RNA copies/mL before treatment begins. Eight days later the viral load is half of the initial amount (a) Find the viral load after 24 days Find the viral load V(t) that remains after days. (c) Find formula for the inverse of the function V and explain its meaning: (d) Alter how many days will the viral load be reduced to 2.0 RNA copies /mL?'
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Step 1
- Initial viral load: \( V_0 = 52.0 \) RNA copies/mL. - After 8 days, the viral load is half of the initial amount: \( V(8) = \frac{52.0}{2} = 26.0 \) RNA copies/mL. Show more…
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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) $.
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