Student Name:
Sections 3.9 (Due: Thursday, 10/18)
Description
:
This homework will help you understand the concept of related rates and the
procedure to handle the problems on related rates.
Show all work to get full credit.
1) Each side of a square is increasing at a rate of
6
cm/s. At what rate is the area of the square
increasing when the area of the square is
49
cm
2
?
cm
2
/s
2) The radius of a sphere is increasing at a rate of
6
mm/s. How fast is the volume increasing when
the diameter is
80
mm? Evaluate your answer numerically.
mm
3
/s
3)
4) A particle moves along the curve below.
As it reaches the point (2, 3), the
y
coordinate is increasing at a rate of 4 cm/s. How fast is the
x

coordinate of the point changing at that instant?
cm/s
5) If a snowball melts so that its surface area decreases at a rate of
2.5
cm
2
/min, find the rate at
which the diameter decreases when the diameter is
11
cm. (Give your answer correct to 4 decimal
places.)
cm/min
6) Two cars start moving from the same point. One travels south at
36
mi/h and the other travels
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 Fall '08
 Noohi
 Calculus, Launch Pad

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