The table shows U.S. gross domestic product (GDP) in billions of dollars for selected years from 2000
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Assume the GDP can be modeled with the function
G(t) = 212.9(0.2t + 5)3 - 5016(0.2t + 5)2 + 8810.4t + 104,072
where G(t) is in billions of dollars and t is the number of years past 2000.
(a) Use the model to find and interpret the instantaneous rates of change of the GDP in 2005 and 2015.
(b) Use the data in the table to find the average rate of change of the GDP from 2005 to 2015.
(c) How well does your answer from part (b) approximate the instantaneous rate of change of GDP in 2010?
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a Gt 212902t 5 3 501602t 5 2 88104t 104072 Gt 2129 302...View the full answer
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Jorge Medina
I have been proffessor since 1994, in those years I have learned about diversity in the types of learning.
I know that each person has a way of learning, so in my courses I have applied different types of evaluation.
I have learned that the best way to teach is to involve the students in the learning process, in such a way that I ask them to help me in solving the exercises. I also carry out projects related to the interests of the students, each one chooses a project of the subject related to their interest, for example in the structures course for Architects, the student choose a building that they have designed for the calculus of the structures.
I like to explore new ways of teaching, so I constantly made changes that motivate the student and get closer to the objectives of the topic that I dictate.
During the course of my studies (master and doctorate) I learned to use computer tools that I taught students.
I have the capacity to summarize, start with the most important, organize the way of imparting ideas and indicate that the most important part of the process is the student participation.
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Related Book For 
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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