Math 1100
Homework 30
27 November, 2013
Name:
1. (10 points) Find the average value of the function y
=
3+
x
32
Avg. vI
.
[(.Z)(j
-3
J.5I
17
(.)3)
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
0
y = .5 + e
where x
week.
is
the number of weeks since the launch and y is the number of hats sold per
(a) Compute the average sales per week over the first 20 weeks. (Round your answer
to two decimal places.)
9
Av
.1’,
vl’
50
.x
II
1
L
1 +•
X
)
J
[(.zo LOoe)_ (‘
-
(iso
A
t1e
10
.2.
jaa)
6.11
(b) Compute the average sales per week over the first 100 weeks. (Round your answer
to two decimal places.)
1(00
.0Ix
to
.
L
L
-
(4z
IL’O
[(
-
to
(
7 szDO
(OOeT)1
Io
00
-
00e
1
—O
-
fo)
•0
lcD
)
J