a.
To calculate: The equation of the tangent.
a.
Answer to Problem 17E
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 the derivative of the function that is
The slope of tangent line is
The value of
The value of
Substitute the values in the standard equation of line
Conclusion: The equation of tangent line is
b.
To calculate: The equation of normal line.
b.
Answer to Problem 17E
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
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning