The following graph shows the annual number of housing starts in a country during 2000-2008 together with the given quadratic approximating model. s(t) = -30t2 + 240t + 800 thousand homes per year (0 sts 8) s(t) 1,400 1,200 1,000 800 600 400 200 1 3 8 Year since 2000 (t is the time in years since 2000.) At the same time, the homes being built were getting larger: the average area per home is approximately given by the following function. a(t) = 30t + 8,000 square feet Use the given models to estimate the total housing area under construction over the given period. (Use integration by parts to evaluate the integral, and round your answer to the nearest billion square feet.) [HINT: Rate of change of area under construction = s(t)a(t).) 0.007206405 x billion square feet Housing starts (thousands)

The following graph shows the annual number of housing starts in a country during 2000-2008 together with the given quadratic approximating model. s(t) = -30t2 + 240t + 800 thousand homes per year (0 sts 8) s(t) 1,400 1,200 1,000 800 600 400 200 1 3 8 Year since 2000 (t is the time in years since 2000.) At the same time, the homes being built were getting larger: the average area per home is approximately given by the following function. a(t) = 30t + 8,000 square feet Use the given models to estimate the total housing area under construction over the given period. (Use integration by parts to evaluate the integral, and round your answer to the nearest billion square feet.) [HINT: Rate of change of area under construction = s(t)a(t).) 0.007206405 x billion square feet Housing starts (thousands)

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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Question

The following graph shows the annual number of housing starts in a country during 2000-2008 together with the given quadratic approximating model.
s(t) = -30t2 + 240t + 800 thousand homes per year
(0 sts 8)
s(t)
1,400A
1,200
1,000
800
600
400
200
1
2
3
4
5
Year since 2000
(t is the time in years since 2000.) At the same time, the homes being built were getting larger: the average area per home is approximately given by the following function.
a(t) = 30t + 8,000 square feet
Use the given models to estimate the total housing area under construction over the given period. (Use integration by parts to evaluate the integral, and round your answer to the nearest billion
square feet.) [HINT: Rate of change of area under construction = s(t)a(t).]
0.007206405 x billion square feet
Housing starts (thousands)

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