Find the Area of the Portion of the Surface $f ( x , y ) = 2 + x ^ { 2 } - y ^ { 2 } \text { that lies above the }$

question 17

Multiple Choice

Find the area of the portion of the surface $f ( x , y ) = 2 + x ^ { 2 } - y ^ { 2 } \text { that lies above the }$ region $R = \left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 1 \right\}$ . Round your answer to two decimal places.

• A) \(9.29\)
• B) \(18.58\)
• C) \(69.20\)
• D) \(5.33\)
• E) \(0.65\)

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Definitions:

Primary Exciter

A device, often a small generator, used to supply the initial current to the field winding of an alternator or to a magnetic coil to start the generation of electricity.

Electric Starter

A device that rotates an internal-combustion engine to initiate the engine's operation under its own power.

Output Frequency

The frequency of the signal generated by an electrical or electronic device, indicating how often it repeats per unit time.

Poles Per Phase

Refers to the number of magnetic poles in a phase of a polyphase machine, affecting speed and performance of the electrical machine.