Concept explainers
(a)
To find: The slope of the curve
(a)
Answer to Problem 20E
The slope of the curve
Explanation of Solution
Given information:
The curve is
Calculation:
The formula for the slope of the curve
The function is given as
Substitute
Substitute
Substitute
Further simplify.
Therefore, the slope of the curve
(b)
To find: The change in the tangent at
(b)
Answer to Problem 20E
The slope of the tangent decreases as the value of
Explanation of Solution
Given information:
The curve is
Calculation:
As calculated in part (a), the slope of the curve
So, the slope of the curve is inversely proportional to the square of
Therefore, the slope of the tangent decreases as the value of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
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