A particle moves along the polar curve r = -4+ 4 sin 0 in such a way that the angle between the particle and the polar axis increases at a constant rate of 5 units per second. Find the rate at which the distance r changes with respect to time at the instant when the position of the particle corresponds to 0 = 5, rounding to the nearest thousandth.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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A particle moves along the polar curve r = -4+4 sin 0 in such a way that the
angle between the particle and the polar axis increases at a constant rate of 5 units
per second. Find the rate at which the distance r changes with respect to time at the
instant when the position of the particle corresponds to 0 = 5, rounding to the
nearest thousandth.
Transcribed Image Text:A particle moves along the polar curve r = -4+4 sin 0 in such a way that the angle between the particle and the polar axis increases at a constant rate of 5 units per second. Find the rate at which the distance r changes with respect to time at the instant when the position of the particle corresponds to 0 = 5, rounding to the nearest thousandth.
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