
Concept explainers
To find: the reason that the parabolas “everywhere equidistant”.

Answer to Problem 35E
The required solution is shown below.
Explanation of Solution
Consider the general form of a parabola.
Such that
For
Find the derivative of the function
Notice at this point, the
Graph the equation.
Finally, the graph are vertically equidistant.
There are always at a distance of
More generally, two parabolas with equation.
Will have a distance of
For any
Therefore, the required solution is shown above.
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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