a.
To prove:
a.
Explanation of Solution
Given Information:
Total distance of one side
Average speed during whole journey
Average speed for forward journey
Average speed for return journey
Calculation:
Time taken for forward journey
Time taken for return journey
Total time taken
Total distance
Average speed
Hence, proved.
b.
To find: The vertical and horizontal asymptotes of the function
b.
Answer to Problem 86E
Vertical asymptote is
Explanation of Solution
Given Information: Given function is
Calculation:
For vertical asymptote, denominator
For horizontal asymptote, dividing the leading coefficients (because highest power is same in numerator and denominator),
Thus, vertical asymptote is
c.
To complete: The given table using a graphing utility and to discuss the observation.
c.
Answer to Problem 86E
If speed during forward journey increases, then speed of the return journey is has to be made less.
Explanation of Solution
Given Information: Given function is
Calculation:
From the table, as
Thus, if speed during forward journey increases, then speed of the return journey has to be made less.
d.
To graph: The function
d.
Explanation of Solution
Given Information: Given function is
Graph:
e.
To prove:
e.
Answer to Problem 86E
No, since speed must be positive.
Explanation of Solution
Given Information: Given function is
When
Also, if speed in one direction is
So, it is not possible to average
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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