Question 8 An economic analyst fits the following function to data about annual U.S. China during the years 1995-2003: where t is years since 1995 (in other words, t = 0 represents January 1, 1995). a) What was the value of U.S. exports to China in 1999? b) Calculate the derivative, F′(t). c) Calculate F′(8). In one sentence, interpret the meaning of your result for F′(8)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Question 8

An economic analyst fits the following function to data about annual U.S. China during the years 1995-2003:

where t is years since 1995 (in other words, t = 0 represents January 1, 1995).

a) What was the value of U.S. exports to China in 1999?

b) Calculate the derivative, F′(t).

c) Calculate F′(8). In one sentence, interpret the meaning of your result for F′(8)

F(t) = 0.4t2 – 1.6t + 14 billion dollars
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Transcribed Image Text:F(t) = 0.4t2 – 1.6t + 14 billion dollars -
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