Homework Help is Here – Start Your Trial Now!
Math
Calculus
Which point has the gradient vector with the smallest magnitude? A

Which point has the gradient vector with the smallest magnitude? A

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
## Gradient Vector Magnitude Analysis ### Question Which point has the gradient vector with the smallest magnitude? ### Image Description The image consists of a contour plot with labeled points A, B, and C. The contours represent some scalar field, with lines closer together indicating regions of higher gradient (steeper slopes), and lines further apart representing regions of lower gradient (gentler slopes). #### Contour Plot Details - **Point A** is positioned on the left side of the plot within a region where the contour lines are densely packed. - **Point B** is located toward the center-right of the plot where the contour lines are moderately spaced. - **Point C** is on the right side of the plot, situated within a region where the contour lines are spaced far apart. ### Analysis - **Point A**: The density of the contour lines at this point implies a high gradient magnitude. - **Point B**: The contour lines are closer than at point C but not as dense as at point A, indicating a moderate gradient magnitude. - **Point C**: The widely spaced contour lines suggest the smallest gradient magnitude. ### Conclusion The point with the gradient vector of the smallest magnitude is most likely to be **Point C**. ### Answer Options - ⭕ B -
Transcribed Image Text:## Gradient Vector Magnitude Analysis ### Question Which point has the gradient vector with the smallest magnitude? ### Image Description The image consists of a contour plot with labeled points A, B, and C. The contours represent some scalar field, with lines closer together indicating regions of higher gradient (steeper slopes), and lines further apart representing regions of lower gradient (gentler slopes). #### Contour Plot Details - **Point A** is positioned on the left side of the plot within a region where the contour lines are densely packed. - **Point B** is located toward the center-right of the plot where the contour lines are moderately spaced. - **Point C** is on the right side of the plot, situated within a region where the contour lines are spaced far apart. ### Analysis - **Point A**: The density of the contour lines at this point implies a high gradient magnitude. - **Point B**: The contour lines are closer than at point C but not as dense as at point A, indicating a moderate gradient magnitude. - **Point C**: The widely spaced contour lines suggest the smallest gradient magnitude. ### Conclusion The point with the gradient vector of the smallest magnitude is most likely to be **Point C**. ### Answer Options - ⭕ B -
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Direction Angle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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