36. Demand for Tents The demand function for Sportsman 5 x 7 tents is given by p = flx) = - 0.1x² - x + 40 %3D where p is measured in dollars and x is measured in units of a thousand. Find the average rate of change in the unit price of a tent if the quantity demanded is between 5000 and 5050 tents; between 5000 and 5010 tents. What is the rate of change of the unit price if the quantity de- manded is 50oo? 37. A Country's GDP The gross domestic product (GDP) of a certain coun- try is projected to be N(t) = t° + 2t + 50 (o st s 5) %3D billion dollars t years from now. What will be the rate of change of the country's GDP 2 years and 4 years from now?
36. Demand for Tents The demand function for Sportsman 5 x 7 tents is given by p = flx) = - 0.1x² - x + 40 %3D where p is measured in dollars and x is measured in units of a thousand. Find the average rate of change in the unit price of a tent if the quantity demanded is between 5000 and 5050 tents; between 5000 and 5010 tents. What is the rate of change of the unit price if the quantity de- manded is 50oo? 37. A Country's GDP The gross domestic product (GDP) of a certain coun- try is projected to be N(t) = t° + 2t + 50 (o st s 5) %3D billion dollars t years from now. What will be the rate of change of the country's GDP 2 years and 4 years from now?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Q36 Q37
Transcribed Image Text:36.
Demand for Tents The demand function for Sportsman 5 x 7 tents is
given by
p = flx) = - 0.1x²
- x + 40
%3D
where p is measured in dollars and x is measured in units of a thousand.
Find the average rate of change in the unit price of a tent if the
quantity demanded is between 5000 and 5050 tents; between 5000
and 5010 tents.
What is the rate of change of the unit price if the quantity de-
manded is 50oo?
37.
A Country's GDP The gross domestic product (GDP) of a certain coun-
try is projected to be
N(t) = t° + 2t + 50
(o st s 5)
%3D
billion dollars t years from now. What will be the rate of change of the
country's GDP 2 years and 4 years from now?
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