The mass of a growing cyst at clock time t is given by m = .03 * 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 = 11.3 and t = 11.4 months? 
• At what average rate is the mass changing between clock times t = 11.3 and t = 11.31 months? 
• At what average rate is the mass changing between clock times t = 11.3 and t = 11.301 months? 
• What do you estimate is the rate at which mass is changing at clock time t = 11.3 months?

The rate at which the mass of the cyst changes is given by Rate = .006 * 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 = 11.3 and t = 22.6 months?