A particle is moving along the graph of y = 3x (see figure). When x = 8,
Question:
A particle is moving along the graph of y = 3√x (see figure). When x = 8, the y-component of the position of the particle is increasing at the rate of 1 centimeter per second.
(a) How fast is the x-component changing at this moment?
(b) How fast is the distance from the origin changing at this moment?
(c) How fast is the angle of inclination θ changing at this moment?
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