The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be approximated by f(t) = 1023 e0176t where t =0 corresponds to the year 2000. (a) Find f'(t). (b) At what rate was the GNI changing in 2000? (c) Repeat part (b) for 2004. (a) f'(t) = | (b) In 2000, the GNI was changing at a rate of about $ (Round to the nearest integer as needed.) billion per year. (c) In 2004, the GNI was changing at a rate of about $ (Round to the nearest integer as needed.) billion per year.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be approximated by f(t) = 1023 e 0.176t, where t=0 corresponds to the year 2000.
(a) Find f'(t).
(b) At what rate was the GNI changing in 2000?
(c) Repeat part (b) for 2004.
(a) f'(t) = |
(b) In 2000, the GNI was changing at a rate of about $
billion per year.
(Round to the nearest integer as needed.)
(c) In 2004, the GNI was changing at a rate of about $
(Round to the nearest integer as needed.)
billion per year.
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Transcribed Image Text:The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be approximated by f(t) = 1023 e 0.176t, where t=0 corresponds to the year 2000. (a) Find f'(t). (b) At what rate was the GNI changing in 2000? (c) Repeat part (b) for 2004. (a) f'(t) = | (b) In 2000, the GNI was changing at a rate of about $ billion per year. (Round to the nearest integer as needed.) (c) In 2004, the GNI was changing at a rate of about $ (Round to the nearest integer as needed.) billion per year. Enter your answer in each of the answer boxes, Save for Later 000 D00 F4 esc F2 F3 FS F7 2$ 6.
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