At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles as shown in the following figure. The origin represents the point of convergence. 130 100 50 20 40 60 80 100 120 140 me distance s between the planes is given by the formula, s +y. Thus, s -x² +y². e plane is 120 miles away and moving towards the point of convergence at 360 miles per hour so x = 120 and . dt other plane is 160 miles away and moving towards the point of convergence at 480 miles per hour, so y= 160 and

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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pontS Tor the skipped part, and you will not be able to come back to the skipped part.
Ari air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 120 miles from the point and has a speed of
speed of 480 miles per hour.
miles per hour. The other is 160 miles from the point and has a
Exercise (a)
At what rate is the distance between the planes changing?
Step 1
Let s denote the distance
miles as shown in the following figure. The origin represents the point of convergence.
150
100
50
20
40
60
80
100 120 140
The distance s between the planes is given by the formula, s= +v. Thus, s- x² + y?.
One plane is 120 miles away and moving towards the point of convergence at 360 miles per hour so x= 120 and
The other plane is 160 miles away and moving towards the point of convergence at 480 miles per hour, so y= 160 and
Transcribed Image Text:pontS Tor the skipped part, and you will not be able to come back to the skipped part. Ari air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 120 miles from the point and has a speed of speed of 480 miles per hour. miles per hour. The other is 160 miles from the point and has a Exercise (a) At what rate is the distance between the planes changing? Step 1 Let s denote the distance miles as shown in the following figure. The origin represents the point of convergence. 150 100 50 20 40 60 80 100 120 140 The distance s between the planes is given by the formula, s= +v. Thus, s- x² + y?. One plane is 120 miles away and moving towards the point of convergence at 360 miles per hour so x= 120 and The other plane is 160 miles away and moving towards the point of convergence at 480 miles per hour, so y= 160 and
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