To find: The limit .
Answer to Problem 80E
The required answer is
Explanation of Solution
Given information:
The segment OP
The endpoints are
Calculation:
The midpoint is given by:
Midpt=
The slope(m) of the segment OP:
The equation of the perpendicular bisector of OP:
OP is perpendicular bisector is a line passing across the midpoints
Therefore, its equation is:
The y -intercept the equation of the perpendicular bisector of OP:
Then the limit of b as a goes to zero
Observe how the value of a approaches zero as the point P moves closer to the parabola's origin.
Hence,
Therefore, the required value is
Chapter 1 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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