A new medical procedure is applied to a cancerous tumour with volume \(\displaystyle 30 \;\ cm^{3}\) and t days later, the volume is found to be changing at the rate
\(\displaystyle v_{1}=.15-.09e^{.006t} \;\ \frac{cm^{3}}{day}\)
i. Find a formula for the volume of the tumour after t days
ii. What is the volume after 60 days?
iii. For the procedure to be successful, t should take no longer than 90 days for the tumour to shrink. Based on this criteria, does the procedure succeed?
\(\displaystyle v_{1}=.15-.09e^{.006t} \;\ \frac{cm^{3}}{day}\)
i. Find a formula for the volume of the tumour after t days
ii. What is the volume after 60 days?
iii. For the procedure to be successful, t should take no longer than 90 days for the tumour to shrink. Based on this criteria, does the procedure succeed?