A spherical balloon is Inflated with gas at à rate of centimeters per minute. (a) Find the rates of change of the radius when r = 60 centimeters and r = 75 centimeters. r- 60 cm/min r- 75 cm/min (b) Explain why the rate of change of the radius of the sphere Is not constant even though dv/dt is constant. dv O The rate of change of the radlus is a linear relationship whose slope is- dt as a function runs parallel to the volume function, which is not linear. dt The volume only appears constant; It is actually a rational relationshlp. dr depends on r2, not simply r. dt The rate of change of the radlus is a cublc relationship.

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