Whether the given statement is True or False.
Answer to Problem 31E
The given statement is False.
Explanation of Solution
Given information:
The figure shows the velocity for a particle moving along the x-axis. The displacement for this particle is negative.
If the displacement of the particle is negative, then the integral of the function over the given domain would have to be negative.
However, if we find the area bounded by the function and x-axis the total displacement is calculated to be
Therefore, the given statement is False.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus (10th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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