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.)

Q: Given the following graph, determine: a) The average rate of change between - 5< x<-3 b) The…

A: Determine the values of y at the given x values. Now use the formula to determine the average rate…

Q: Consider the following data: -0.4 -0.2 0.2 0.4 0.6 f(3+x) 1.8762 1.4471 1.3478 2.0113 2.0416 2.7886…

A: Given- Consider the following data: x -0.4 -0.2 0 0.2 0.4 0.6 f3 + x 1.8762 1.4471 1.3478…

Q: Figure shows the estimated percentage P of the Chilean population that uses the Internet, based on…

A:

Q: The rate of change of a quantity with unit q as a linear function of time is given as: time/s: 0…

A:

Q: 8.The U.S population had an explosive growth in the 1990's. 9. a. What was the average rate of…

A:

Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: (3) a) Establish the relationship between the hazard function h(t) and in- cidence proportion at…

A: Given an estimated hazard function at time t=4 is 1.5.

Q: Calculate the average rate of change of the given function (Infilation(%)) over the interval [1. 4].…

A:

Q: Calculate the average rate of change of the given function f over the interval [a, a + h], where =…

A: We have to find the average rate of change of the given function.     According to our guidelines we…

Q: The graph shows the population of bacteria in a culture. a) Determines the average rate of variation…

A: Average rate of variation of a function f(x) between x=a  and x=b  Ax=fb-fab-a

Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: 1. Given the following graph, determine: a) The average rate of change between -5sxs-3 b) The…

A: The average rate of change formula is y2-y1x2-x1

Q: 12. [1, 2] AROC: 7 6 5 4

A:

Q: 1. Definition: "The average rate of change of a function f on the interval [a, a + h] is"...

A:

Q: Suppose that the spread of a disease through the student body at an isolated college campus can be…

A: Here we have to find out rate of change of y.

Exponential Growth Model

The relation that represents an exponential function is: