The depth of water in a certain nonuniform container is y = .02 t4 + -2.6 t2
+ 89, 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 = 17.2 and t =
17.3 seconds?
- At what average rate is the depth of water changing between clock times t = 17.2 and t =
17.21 seconds?
- At what average rate is the depth of water changing between clock times t = 17.2 and t =
17.201 seconds?
- What do you estimate is the rate at which water depth is changing at clock time t = 17.2
seconds?
The rate at which water flows from a certain nonuniform cylinder is given by rate = .02
t3 + -2.6 t cm3 per minute, where t is in minutes. How much do
water do you think will flow between clock times t = 17.3 minutes and t = 34.4 minutes?