Concept explainers
To find : the equation of the curve.
Answer to Problem 19E
The equation of the curve is
Explanation of Solution
Given information :
Slope of the curve =
Point on curve =
Calculation : to find the equation of the curve, first make the differential equation by its slope.
The solution of this differential equation is the equation of the curve,
So the differential equation is
here the equation is separable, so write the equation in the terms of differentials and then integrate both sides,
Here A ,
Point on curve is
So the equation is
Hence, theequation of the curve is
Chapter 7 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