Can someone please help me understand ?
Mathematics

Tutor: None Selected  Time limit: 1 Day 
Here is a model for the number of students enrolled in U.S. public high schools as a function of time since 2000.
N = −0.033t^{2} + 0.46t + 13.37
In this formula N is the enrollment in millions of students, t is the time in years since 2000, and the model is applicable from 2000 to 2010.
(a) Calculate N(9).
(b) In what year was the enrollment the largest?
What was the largest enrollment?
(c) Find the average yearly rate of change in enrollment from 2004 to 2010.
Thank you for the opportunity to help you with your question Change in N/ Change in t = 0.066t + 0.46 =0 thus 0.46 = 0.066t Therefore t = 7.0 a. Thus N = 15 second optimization = 0.066, therefore, t is a maximum under the second order condition. yearly rate of change in enrollment from 2004 to 2010. Integrating the equation: 0.033t ^ 1 + 0.46t^1 = 0.284  0.017 = 0.267/6 = 0.045
Thank you for the opportunity to help you with your question
Change in N/ Change in t = 0.066t + 0.46 =0
thus 0.46 = 0.066t
Therefore t = 7.0
a. Thus N = 15
second optimization = 0.066, therefore, t is a maximum under the second order condition.
yearly rate of change in enrollment from 2004 to 2010.
Integrating the equation: 0.033t ^ 1 + 0.46t^1
= 0.284  0.017
= 0.267/6
= 0.045
Secure Information
Content will be erased after question is completed.