Concept explainers
(a)
To find: The slope of the curve
(a)
Answer to Problem 19E
The slope of the curve
Explanation of Solution
Given information:
The curve is
Calculation:
The formula for the slope of the curve
Substitute
Substitute
Substitute
Further simplify.
Therefore, the slope of the curve
(b)
To describe: The change in the tangent at
(b)
Answer to Problem 19E
The slope of the tangent increases 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 directly proportional to
Therefore, the slope of the tangent increases as the value of
Chapter 2 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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