To find:
The equation of the parabola
Answer to Problem 65E
The equation of the parabola is
Explanation of Solution
Given:
The normal line to the parabola
Concept used:
The equation is in slope −intercept form,
An equation for the line through the point
Calculation:
The function
The derivative of a function
Differentiating the equation (1) with respect to
The slope of the tangent
Point
So, satisfies the original parabola equation
The line intersect the parabolas
So parabola equation is
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition