MATH 150  Calculus I with Review  Fall 2012
Week 9 Homework Questions
Term Test Date  Monday 05 November 2012
Required Questions
•
Section 3.9: # 5, 11, 13, 15, 23, 25, 27, 31, 35, 41, 43
•
Section 3.10: # 3, 7, 11, 13, 15, 23, 25, 27, 35, 37, 43, 44
•
Section 3.11: # 3, 5, 9, 15, 23ad, 33, 35, 37, 47
•
Section 4.1: # 3, 5, 9, 11, 13, 21, 27, 33, 37, 39, 41, 45
Instructor Questions
1.
More related rates:
A cylindrical tank of radius
R
and length
L
lying
horizontally (as in the ﬁgure below) is ﬁlled with oil to a height of
h
.
(a) Show that the volume
V
(
h
) of the oil in the tank is
V
(
h
) =
L
±
R
2
cos

1
±
1

h
R
²

(
R

h
)
√
2
hR

h
2
²
.
(b) Show that
d
V
d
t
= 2
L
p
h
(2
R

h
)
d
h
d
t
. Note that
h
=
h
(
t
) here.
(c) Suppose that
R
= 1
.
5 m and
L
= 10 m and that the tank is
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 Fall '08
 MOHOLLUND
 Math, Calculus, Linear Approximation, Prime number, Calculus Early Transcendentals, Term Test Date

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