AB 3.
(b)(c)AB 4.
Part B
(a) Refer back to the figure for Part B.
The average value of a function on an interval is the area under
the graph of the function divided by the interval width, here .
From part (a) you know that the area of the region is given by . Since , as k
increases the area of the region approaches 3π.
(a) The slope field for the nine points indicated is: