The gross domestic product (in billions of dollars) can be approximated by P(t) = 563 +t(37- 102), where t is the number of years since 1960. a) Find P'(t). b) Find P'(42) c) in words, explain what P'(42) represents. a) Find P'(t). P't) = 59.210- 102 b) Find P'(42). P'(42) = 455.5 (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.) c) in words, explain what P'(42) represents. In the year 2002. the gross domestic product was increasing by about 455.5 billlon dollars per year. (Type integers or decimals.)

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Chapter1: Functions And Models
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The gross domestic product (in billions of dollars) can be approximated by P(t) = 563 +t(37t- 102), where t is the number of years since 1960.
a) Find P'(t).
b) Find P'(42).
c) In words, explain what P'(42) represents.
a) Find P'(t).
P'(t) = 59.210 - 102
b) Find P'(42).
P'(42) = 455.5
(Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)
c) In words, explain what P'(42) represents.
In the year 2002 , the gross domestic product was increasing by about 455.5 billion dollars per year.
(Type integers or decimals.)
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Transcribed Image Text:The gross domestic product (in billions of dollars) can be approximated by P(t) = 563 +t(37t- 102), where t is the number of years since 1960. a) Find P'(t). b) Find P'(42). c) In words, explain what P'(42) represents. a) Find P'(t). P'(t) = 59.210 - 102 b) Find P'(42). P'(42) = 455.5 (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.) c) In words, explain what P'(42) represents. In the year 2002 , the gross domestic product was increasing by about 455.5 billion dollars per year. (Type integers or decimals.) Question is complete. Tap on the red indicators to see incorrect answers. All parts showing Start Type here to search DELL 立
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