(a)
To find:
The equation of the set of all points from the curve of slops reciprocal.
(a)
Answer to Problem 20P
Explanation of Solution
Given:
The equation of ellipse
Where
Concept used:
A tangent line to the ellipse
The line intersect exactly one point on the ellipse the discriminant of the equation is zero
Calculation:
The standard form of ellipse equation
A tangent line to the ellipse
The line intersect exactly one point on the ellipse
Substitute
The line intersect exactly one point on the ellipse the discriminant of the equation is zero
Simplifying the term
The point
So,
(b)
To find:
The equation of the set of all points from the curve of slops are negative reciprocal.
(b)
Answer to Problem 20P
Explanation of Solution
Given:
The equation of ellipse
Where
Concept used:
A tangent line to the ellipse
The line intersect exactly one point on the ellipse the discriminant of the equation is zero
Calculation:
The standard form of ellipse equation
A tangent line to the ellipse
The line intersect exactly one point on the ellipse
Substitute
The line intersect exactly one point on the ellipse the discriminant of the equation is zero
Simplifying the term
The point
So,
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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