To calculate: The equations of tangent and normal lines to the given curve.
Answer to Problem 21E
The equation of tangent line is
Explanation of Solution
Given information:
The equation of the curve is
Concept used:
The formulae used are
Calculation:
Slope of tangent line.
Solve further by substituting
Substitute
So, the value of
Substitute the values in the standard equation of line
The equation of tangent line is
Slope of normal line.
The slope of normal line is
Substitute
So, the value of
Substitute the values in the standard equation of line
The equation of normal line is
Conclusion: The equation of tangent line is
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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