Approximating Arc Length or Surface Area In Exercises 65-68, write the definite integral for finding the indicated arc length or surface area. Then use the
Length of Pursuit A fleeing object leaves the origin and moves up the y-axis (see figure). At the same time, a pursuer leaves the point (1,0) and always moves toward the fleeing object. The pursuer’s speed is twice that of the fleeing object. The equation of the path is modeled by
How far has the fleeing object traveled when it is caught? Show that the pursuer has traveled twice as far.
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Calculus: Early Transcendental Functions (MindTap Course List)
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage