The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10) in time t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value. t = (Round your answer down to the nearest tenth.) The corresponding year is - (Round your answer down to the nearest year.) (b) At what number will the population peak? (Round your answer to two decimal places.) billion
The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10) in time t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value. t = (Round your answer down to the nearest tenth.) The corresponding year is - (Round your answer down to the nearest year.) (b) At what number will the population peak? (Round your answer to two decimal places.) billion
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The total world population is forecast to be
P(t) = 0.00068t3 – 0.072t2 + 0.99t + 6.04
(0 < t < 10)
in time t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions.
(a)
When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value.
t =
(Round your answer down to the nearest tenth.)
The corresponding year is
. (Round your answer down to the nearest year.)
(b)
At what number will the population peak? (Round your answer to two decimal places.)
billion
ASK YOUR TEACHER
MY NOTES
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profit (in dollars) from the daily production and sale
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