Math 1100
Homework 30
27 November, 2013
Name:
1. (10 points) Find the average value of the function y = x3 + 3x2 on the interval [−1, 2].
2. (10 points) Holly the milliner is launching a new line of hats. She estimates that sales
per week can be modelled by
y = .5x + e0.1x
where x is the number of weeks since the launch and y is the number of hats sold per
week.
(a) Compute the average sales per week over the first 20 weeks. (Round your answer
to two decimal places.)
(b) Compute the average sales per week over the first 100 weeks. (Round your answer
to two decimal places.)