Homework Help is Here – Start Your Trial Now!
Math
Calculus
e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5 6 7

e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5 6 7

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
**Transcription:** "Find the area of the blue region. It is the area under the curve." **Graph Explanation:** - The graph features two lines: \( y = 3x + 1 \) and \( y = 6 - x \). - The x-axis ranges from 0 to 7, while the y-axis ranges from 0 to 11. - Line \( y = 3x + 1 \) is a straight line with a positive slope, starting from the y-intercept at (0, 1) and passing through the point (2, 7). - Line \( y = 6 - x \) is a straight line with a negative slope, starting from the y-intercept at (0, 6) and passing through the point (6, 0). - Both lines intersect at the point (2, 7). - The blue region is the area of the triangle formed by the lines and the x-axis. It is bounded by the x-axis, line \( y = 6 - x \) from (0, 6) to (6, 0), and line \( y = 3x + 1 \) from (0, 1) to (2, 7). This triangular region represents the area under the curve that needs to be calculated.
Transcribed Image Text:**Transcription:** "Find the area of the blue region. It is the area under the curve." **Graph Explanation:** - The graph features two lines: \( y = 3x + 1 \) and \( y = 6 - x \). - The x-axis ranges from 0 to 7, while the y-axis ranges from 0 to 11. - Line \( y = 3x + 1 \) is a straight line with a positive slope, starting from the y-intercept at (0, 1) and passing through the point (2, 7). - Line \( y = 6 - x \) is a straight line with a negative slope, starting from the y-intercept at (0, 6) and passing through the point (6, 0). - Both lines intersect at the point (2, 7). - The blue region is the area of the triangle formed by the lines and the x-axis. It is bounded by the x-axis, line \( y = 6 - x \) from (0, 6) to (6, 0), and line \( y = 3x + 1 \) from (0, 1) to (2, 7). This triangular region represents the area under the curve that needs to be calculated.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS