Air is being pumped into a spherical balloon. The volume, V, in cubic centimetres, of the balloon is V = -mr3, where the radius, r,
Air is being pumped into a spherical balloon. The volume, V, in cubic centimetres, of the balloon is V = -mr3, where the radius, r, is in 3 centimetres. a) Determine the instantaneous rate of change of the volume of the balloon when its radius is 1.5 cm, 6 cm, and 9 cm. b) Sketch a graph of the curve and the tangents corresponding to each radius in part a). c) Find equations for the tangent lines
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