HWQ 6-16 (10 pts):
1. (5 pts) Suppose my distance travelled is a continuous and
differentiable function of time. If the speed limit is 45 mph and I
drove 150 miles in 3 hours, is it guaranteed that I was speeding at
some point? What theorem did you use to decide this?
2. (5 pts) Find all values c such that f 0(c) =
the function f (x) = x3 − x2 over [−1, 2].
1
f (b) − f (a)
for
b−a