Question

The volume (in m3) of water in my (large) bathtub when I pull out the plug is given by f(t)=4−t2 (t is in minutes). This formula is only valid for the two minutes it takes my bath to drain.
(a) Find the average rate the water leaves my tub between t=1 and t=2

(b) Find the average rate the water leaves my tub between t=1 and t=1.1

(c) What would you guess is the exact rate water leaves my tub at t=1

(d) In this bit h is a very small number. Find the average rate the water leaves my tub between t=1 and t=1+h (simplify as much as possible)

(e)

What do you get if you put in h=0 in the answer to (d)?

Answer 1

The answer is EEEEEE