4) The data below shows N = f(t), the number of Facebook subscribers, in millions, worldwide at 3-month interval for one calendar year. Month, t Mar. Sep. 2011 Jun. Dec. Mar. 2011 2011 2011 2012 664.0 710.7 756.9 799.1 835.5 a) Calculate the average rate of change of N per month for the time intervals shown. Are these the values f'(t)? If not, how close are they? b) What can you say about the sign of d2n/dt2 for the 12-month period between March, 2011 and March, 2012? (Hint: Calculate a few values of the second derivative using your values from part a). Alternatively, a graph may make the answer obvious.)

4) The data below shows N = f(t), the number of Facebook subscribers, in millions, worldwide at 3-month interval for one calendar year. Month, t Mar. Sep. 2011 Jun. Dec. Mar. 2011 2011 2011 2012 664.0 710.7 756.9 799.1 835.5 a) Calculate the average rate of change of N per month for the time intervals shown. Are these the values f'(t)? If not, how close are they? b) What can you say about the sign of d2n/dt2 for the 12-month period between March, 2011 and March, 2012? (Hint: Calculate a few values of the second derivative using your values from part a). Alternatively, a graph may make the answer obvious.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Exponential Growth Model

The relation that represents an exponential function is:

Question

4) The data below shows N = f(t), the number of Facebook subscribers, in millions, worldwide at 3-month intervals
for one calendar year.
Month, t
Mar.
Jun.
Sep.
Dec.
Mar.
2011
2011
2011
2011
2012
664.0
710.7
756.9
799.1
835.5
a) Calculate the average rate of change of N per month for the time intervals shown. Are these the values f'(t)?
If not, how close are they?
b) What can you say about the sign of d²n/dt? for the 12-month period between March, 2011 and March,
2012? (Hint: Calculate a few values of the second derivative using your values from part a). Alternatively, a
graph may make the answer obvious.)

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