Set Up an Integral for the Area of the Surface $y = \cot x , 0 \leq x \leq \pi / 4 ; x$

question 214

Multiple Choice

Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis.
- $y = \cot x , 0 \leq x \leq \pi / 4 ; x$ -axis

• A) \(\int _ { 0 } ^ { \pi / 4 } \csc x \sqrt { 1 + \cot x } d x\)
• B) \(\int _ { 0 } ^ { \pi / 4 } \cot x \sqrt { 1 + \csc ^ { 4 } x } d x\)
• C) \(2 \pi \int _ { 0 } ^ { \pi / 4 } \cot x \sqrt { 1 + \csc ^ { 4 } x } d x\)
• D) \(2 \pi \int _ { 0 } ^ { \pi / 4 } \csc x \sqrt { 1 + \cot x } d x\)

Identify circumstances under which an agent is personally liable for contracts and torts.

Understand the doctrine of respondeat superior and its application to employer liability.

Distinguish between disclosed, partially disclosed, and undisclosed principals and the legal implications of each status.

Comprehend the effects of termination of agency on the authority and liability of the agent.

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