188 CHAPTER 2 Derivatives at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later? 48. Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? 50 49. A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner's friend is standing 2.9 Linear Approximations and Differentials We have seen that a curve lie fact, by zooming in toward M/ at a distance 200 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 200 m? 0. The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock?

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Author:James Stewart
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Chapter1: Functions And Models
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Problem 49 

188
CHAPTER 2 Derivatives
at an angle of 30°. At what rate is the distance from the plane to
the radar station increasing a minute later?
48. Two people start from the same point. One walks east at
3 mi/h and the other walks northeast at 2 mi/h. How fast is
the distance between the people changing after 15 minutes?
50
49. A runner sprints around a circular track of radius 100 m at
a constant speed of 7 m/s. The runner's friend is standing
2.9 Linear Approximations and Differentials
We have seen that a curve lie
fact, by zooming in toward
Transcribed Image Text:188 CHAPTER 2 Derivatives at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later? 48. Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? 50 49. A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner's friend is standing 2.9 Linear Approximations and Differentials We have seen that a curve lie fact, by zooming in toward
M/
at a distance 200 m from the center of the track. How fast is
the distance between the friends changing when the distance
between them is 200 m?
0. The minute hand on a watch is 8 mm long and the hour hand is
4 mm long. How fast is the distance between the tips of the
hands changing at one o'clock?
Transcribed Image Text:M/ at a distance 200 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 200 m? 0. The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock?
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