Use a Computer Algebra System and the Result "The Area $C$

question 78

Multiple Choice

Use a computer algebra system and the result "The area of a plane region bounded by the simple closed path $C$ given in polar coordinates is $A = \frac { 1 } { 2 } \int _ { C } r ^ { 2 } d \theta ^ { \prime \prime }$ to find the area of the region bounded by the graphs of the polar equation $r = \frac { 10 } { 2 - \cos \theta }$ . Round your answer to two decimal places.

• A) \(132.92\)
• B) \(134.92\)
• C) \(133.92\)
• D) \(120.92\)
• E) \(167.92\)

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Definitions:

Natural Causes

Factors that affect events or conditions based on processes inherent to the natural world, as opposed to human-made influences.

Assignable Causes

Factors identified as reasons for variation in a process, which can be isolated and where corrective action can be applied.

Process Capability Ratio

A statistical measure that evaluates the ability of a production process to produce output within specified limits.

Process Capability Index

A statistical measure that quantifies how well a process is able to produce output within specification limits compared to the spread of the process values.