A slender rod through the origin of the polar coordinate plane rotates (in the plane) about the

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A slender rod through the origin of the polar coordinate plane rotates (in the plane) about the origin at the rate of 3 rad / min. A beetle starting from the point (2, 0) crawls along the rod toward the origin at the rate of 1 in. / min.

a. Find the beetle’s acceleration and velocity in polar form when it is halfway to (1 in. from) the origin.

b. To the nearest tenth of an inch, what will be the length of the path the beetle has traveled by the time it reaches the origin?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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