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A spherical balloon is inflated with gas at a rate of 700 cubic centimeters per...

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Calculus

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A spherical balloon is inflated with gas at a rate of 700 cubic centimeters per minute.(a) Find the rates of change of the radius when r = 70 centimeters and r = 85 centimeters.r = 70r = 85188drdtx cm/mincm/min(b) Explain why the rate of change of the radius of the sphere is not constant even though dv/dt is constant.The rate of change of the radius is a cubic relationship.dvThe rate of change of the radius is a linear relationship whose slope isdtdepends on r, not simply r.dras a function runs parallel to the volume function, which is not linear.dtThe volume only appears constant; it is actually a rational relationship.Xx

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