a.
To find: the equation of the secant line AB.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
The equation of the secant line is
Explanation of Solution
Given:
Concept used:
Equation of a line passing through the points
Calculation:
By substituting
By substituting
Now equation of the secant line passing through the points
b.
To find: the equation of the tangent line parallel to the secant line.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
The equation of the tangent line is
Explanation of Solution
Given:
Concept used:
Mean Value Theorem for Derivatives:
If
Calculation:
Consider the given function,
By differentiating with respect to
Therefore the function is continuous on
Since the slope of the secant line is
Now when
Now the equation of the tangent line is,
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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