Solved: A loaded barge is being towed by two tugboats, and the magnitude of the

Chapter 7, Problem 101

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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 \(\theta\) degrees with the axis of the barge. (See figure.)

(a) Write the resultant tension T of each tow line as a function of \(\theta\). Determine the domain of the function.

(b) Use a graphing utility to complete the table.

(c) Use the graphing utility to graph the tension function.

(d) Explain why the tension increases as \(\theta\) increases.

Text Transcription:

theta

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