A new medical procedure is applied to a cancerous tumor with volume 30 cm 3 , and t days later the volume is found to be changing at the rate V '(t) 0 15 0 09e 0 006t cm 3 day a Find a formula for the volume of the tumor after t days b What is the volume after 60 days After 120 days c For the proce...

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A new medical procedure is applied to a cancerous tumor with volume 30 cm 3 , and

Question:

A new medical procedure is applied to a cancerous tumor with volume 30 cm³, and t days later the volume is found to be changing at the rate V'(t) = 0.15 − 0.09e^0.006t cm³/day

a. Find a formula for the volume of the tumor after t days.

b. What is the volume after 60 days? After 120 days?

c. For the procedure to be successful, it should take no longer than 90 days for the tumor to begin to shrink. Based on this criterion, does the procedure succeed?

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