31. The surface area of an inflating weather balloon is described by A(x) = 4x²-1 where x is the number of seconds and A is measured in L. a) Determine the average rate of change between 2 and 10 sec. (3 marks) b) Determine the instantaneous rate of change at 6 seconds using the difference quotient. (3 marks)

31. The surface area of an inflating weather balloon is described by A(x) = 4x²-1 where x is the number of seconds and A is measured in L. a) Determine the average rate of change between 2 and 10 sec. (3 marks) b) Determine the instantaneous rate of change at 6 seconds using the difference quotient. (3 marks)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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