Concept explainers
a.
To find the length of string in terms of
a.
Answer to Problem 71E
The length of the string is
Explanation of Solution
Given information:
An ellipse can be drawn by using two thumbtacks, a string of fixed length (greater than the distance of the two tacks) and a pencil.
The given ellipse shows the length of the string:
The total length of the string is equal to the length of the major axis.
The length of the string is:
Hence, the length of the string is
b.
To explain why the path drawn by the pencil is an ellipse.
b.
Answer to Problem 71E
On drawing the figure by using a string, the distance from the two foci sum to the length of the major diameter. Hence, the figure drawn is an ellipse.
Explanation of Solution
Given information:
An ellipse can be drawn by using two thumbtacks, a string of fixed length (greater than the distance of the two tacks) and a pencil.
On drawing the figure by using a string, the distance from the two foci sum to the length of the major diameter. Hence, the figure drawn is an ellipse.
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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