Concept explainers
(a)
To find: The domain of function of tension
(a)
Answer to Problem 105E
Explanation of Solution
Given: A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6000 pounds directed along the axis of the barge. Each tow line makes an angle of
The component of tension as shown in figure.
The resultant along axis of barge is 6000 pounds
So,
The function tension in form of
Now, find the domain of function.
(b)
To graph: The function of tension
(b)
Answer to Problem 105E
Explanation of Solution
Given: A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6000 pounds directed along the axis of the barge. Each tow line makes an angle of
The function of tension
First draw the graph of above function and then complete the table different value of
Now complete the table.
(c)
To graph: The function of tension
(c)
Answer to Problem 105E
Explanation of Solution
Given: A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6000 pounds directed along the axis of the barge. Each tow line makes an angle of
Using graphing utility to graph the function,
Where, y-axis represents tension
(d)
To explain: The tension
(d)
Explanation of Solution
Given: A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6000 pounds directed along the axis of the barge. Each tow line makes an angle of
Using graphing utility to graph the function,
Where, y-axis represents tension
As shown in graph, this is increasing function.
So, using graph say tension increase as increase in angle.
This is because secant function is increasing function and tension depends on secant.
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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