Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were
treated with a chemotherapy drug called Cisplatin. If the volume of one of these tumors at the time
of treatment is Vo, then the volume of the tumor t days after treatment is modeled by the function
V(t) = = Vo(0.99e- + 0.01e0.239t).
-0.1216t
1. Set Vo = 3 and plot V(t) over the interval 0 ≤ t ≤ 16. Appropriately adjust the viewing
window to see the behavior of V(t) and sketch the graph below.
2. From the graph, estimate the time at which the volume of the tumor decreased to half its
original amount. There are two such times, record each to the nearest whole number.
3. With Vo = 3, write down the equation whose solution gives the time at which the tumor is
half its original volume. (Re)write the equation with zero in the right-hand side.
4. Using one of your answers from 2. as to and your equation from 3., apply two steps of Newton's
method to better approximate this time. (Round to 3 decimal places.)
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