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? 
• At what average rate is the mass changing between clock times t = 11.7 and t = 11.71 months? 
• At what average rate is the mass changing between clock times t = 11.7 and t = 11.701 months? 
• What do you estimate is the rate at which mass is changing at clock time t = 11.7 months?

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?