The depth of water in a certain nonuniform container is y = .026 t4 + -1.3 t2
+ 70, where depth y is in cm when clock time t is in seconds.
- At what average rate is the depth of water changing between clock times t = 6.4 and t =
6.5 seconds?
- At what average rate is the depth of water changing between clock times t = 6.4 and t =
6.41 seconds?
- At what average rate is the depth of water changing between clock times t = 6.4 and t =
6.401 seconds?
- What do you estimate is the rate at which water depth is changing at clock time t = 6.4
seconds?
The rate at which water flows from a certain nonuniform cylinder is given by rate = .026
t3 + -1.3 t cm3 per minute, where t is in minutes. How much do
water do you think will flow between clock times t = 6.5 minutes and t = 12.8 minutes?