Question: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t measured in seconds and the units for r(t)are tonnes (metric tons) per second.
t 0 1 2 3 4 5 6
r(t) 2 10 24 36 46 54 60
(a) Give upper and lower estimates for the quantity Q6 of erupted materials after 6 seconds.
(b) Use the Midpoint Rule to estimate Q6.