a.
To calculate: The equation of the tangent.
a.
Answer to Problem 20E
The equation of the tangent is
Explanation of Solution
Given information:
The function is
Concept used:
The equation of tangent of a line is
Calculation:
Slope of tangent line is as shown below.
Solve further.
The slope of tangent line is
Substitute
The value of
The value of
Substitute the values in the standard equation of line
Conclusion: The equation of normal line is
b.
To calculate: The equation of normal line.
b.
Answer to Problem 20E
The equation of normal line is
Explanation of Solution
Given information:
The function is
Concept used:
The formula used to find slope of normal line is
Calculation:
Use the formula
The slope of normal line is
The value of
Substitute the values in the standard equation of line
Conclusion: The equation of normal line is
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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