course mth173
2-9 10pm
The mass of a growing cyst at clock time t is given by m = .06 * t3, where m is mass in grams and t is clock time in months. At what average rate is the mass changing between clock times t = 11.7 and t = 11.8 months?
M1 = .06 * 11.7^3 = 96.097g
M2 = .06*11.8^3 = 98.582g
Rate of change
98.582-96.097/11.8-11.7 = 24.85g/month
At what average rate is the mass changing between clock times t = 11.7 and t = 11.71 months?
M3= .06* 11.71^3 = 96.343g
Rate of change
96.343-96.097/11.71-11.7 = 24.6g/month
At what average rate is the mass changing between clock times t = 11.7 and t = 11.701 months?
M4= .06 * 11.701^3 = 96.121g
Rate of change
96.121g -96.097g/11.701-11.7 = 24g/month
What do you estimate is the rate at which mass is changing at clock time t = 11.7 months?
I estimate a rate of change right around 23.9 or 24g/month
The rate at which the mass of the cyst changes is given by Rate = .012 * t2, where Rate is rate of change in grams per month and t is clock time in months. How much do you think mass will change between t = 11.7 and t = 23.4 months?
M = .012*11.7^2 = 1.643g
M2 = .012* 23.4^2= 6.571g
Rate of change
6.571-1.643 /23.4-11.7 = .421g/month
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