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3. a) Use the limit of the difference quotient to show that the instantaneous rate of change of the volume of a sphere at any

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3. a) Use the limit of the difference quotient to show that the instantaneous rate of change of the volume of a sphere at any point in time is equivalent to the surface area of the sphere. That is, if V(r) = mr and S(r) = 4mr, show that ROCinst of V(r) = S(r). [4 marks] b) In the context of this problem, what do the following represent? (Note: DO NOT CALCULATE! Explain what quantity this expression would determine) [3 marks] a. V (7) b. V(5)-V(0) 5 C. V(10+h)-v(10) h rev 0919

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