Concept explainers
a.
Find the distance d between the point and line as a function of
a.
Answer to Problem 94E
Explanation of Solution
Calculation:
Consider a line with slope
Since,
The equation of the line is,
The distance between the point
Now the distance between line
Hence, the distance
b.
Graph the function
b.
Answer to Problem 94E
Explanation of Solution
Given information:
Consider a line with slope
Calculation:
With the help of maple plot function
Hence, the function plotted.
c.
Find the slope that yields the maximum distance between the point and the line.
c.
Answer to Problem 94E
Explanation of Solution
Calculation:
To find the maximum distance between the point and the line let differentiate with respect to slope
Hence, the slope that yields the maximum distance between the point
d.
Find the slope of the line that yields a distance of
d.
Answer to Problem 94E
Explanation of Solution
Calculation:
To find the slope of the line that yields a distance of
When
Hence, the slope of the line that yields a distance of
e.
Find the asymptote of the graph in part
e.
Answer to Problem 94E
Explanation of Solution
Calculation:
The horizontal asymptote is as shown.
Hence,
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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