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
![Find the area of the region enclosed by y = 3.5x and x = 8.5 – y².
2
4
5 6 7 8
Use horizontal strips to find the area, that is, integrate with respect to y.
First find the y coordinates of the two points where y = 3.5x meets x =
8.5 – y?.
lower limit c = -3.06183
and
upper limit d = 2.77612 v
Hint: g( y) is the right curve - left curve.
p •
To find the area of the enclosed region from c to d we will integrate:
g(y)dy where g( y ) =
2.7761
Evaluate the definite integral to find Area =
33.15525
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8acd7275-cc9d-4910-b442-97117465bf1b%2F8d929bca-bf84-47f4-afec-5b7592dd3799%2Ftv9gai_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the area of the region enclosed by y = 3.5x and x = 8.5 – y².
2
4
5 6 7 8
Use horizontal strips to find the area, that is, integrate with respect to y.
First find the y coordinates of the two points where y = 3.5x meets x =
8.5 – y?.
lower limit c = -3.06183
and
upper limit d = 2.77612 v
Hint: g( y) is the right curve - left curve.
p •
To find the area of the enclosed region from c to d we will integrate:
g(y)dy where g( y ) =
2.7761
Evaluate the definite integral to find Area =
33.15525
3.
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