Concept explainers
(a)
To find: The slope of the curve
(a)
Answer to Problem 21E
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 21E
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 tangent of the curve is always negative and the value of slope of tangent increases as the value of
Therefore, the slope of the tangent decreases as the value of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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