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MATH1010:
Chapter 3 cont…
1
DIFFERENTIATION RULES cont…
Related Rates (Section 3.10 of Stewart, pg. 256) cont…
Recall:
Last day, we looked at several related rates applications.
Example:
The combined electrical resistance
R
of
R
1
and
R
2
, connected in parallel, is
given by
2
1
1
1
1
R
R
R
+
=
If
R
1
and
R
2
are increasing at rates of 1 and 1.5 ohms/s respectively, at what rate is
R
changing when
50
1
=
R
ohms and
75
2
=
R
ohms?
[Source:
“
Calculus:
Early Transcendental Functions
”, 4
th
ed. by Larson, Hostetler, Edwards, 2007]
Example:
An airplane is flying on a flight path that will take it directly over a radar
tracking station.
If the distance between the plane and the tracking station is decreasing
at a rate of 400 mph when the straightline distance between the plane and the tracking
station is 10 miles, what is the speed of the plane?
[Source:
“
Calculus:
Early Transcendental Functions
”, 4
th
ed. by Larson, Hostetler, Edwards, 2007]
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Chapter 3 cont…
2
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 Spring '08
 Kim
 Math, Calculus

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