Question: A wheel of radius 30 centimeters revolves at a rate of 10 revolutions per second. A dot is painted at a point P on the

A wheel of radius 30 centimeters revolves at a rate of 10 revolutions per second. A dot is painted at a point P on the rim of the wheel (see figure).

In Figure 

P 30 cm KX x= -X

(a) Find dx/dt as a function of θ.

(b) Use a graphing utility to graph the function in part (a).

(c) When is the absolute value of the rate of change of x greatest? When is it least?

(d) Find dx/dt when θ = 30° and = 60°.

P 30 cm KX x= -X

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