(a)
To prove: The given statement.
(a)
Explanation of Solution
Given information:
The statement is:
Calculation:
Put,
And obtain:
That is true, so the line passes through
Put,
And obtain:
That is true, so the line passes through
Substituting the coordinates into the equation, we see that the line passes through
(b)
To find: The function of
(b)
Answer to Problem 63E
Applying Rolle's Theorem, we conclude that there is at least one
Explanation of Solution
Given information:
The function is:
Calculation:
Put,
And obtain:
Applying Rolle's Theorem, we conclude that there is at least one
(c)
To prove: The given statement.
(c)
Explanation of Solution
Given information:
The given statement is:
Calculation:
By differentiating.
At
Hence
It is the Mean Value Theorem's formulation.
To use the Rolle's Theorem there is a
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning