Change the Cartesian Integral to an Equivalent Polar Integral, and Then

question 173

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- $\int _ { - 4 } ^ { 4 } \int _ { - \sqrt { 16 - y ^ { 2 } } } ^ { \sqrt { 16 - y ^ { 2 } } } \ln \left( x ^ { 2 } + y ^ { 2 } + 1 \right) d x d y$

• A) \(\pi ( 16 \ln 17 + 16 )\)
• B) \(\pi ( 17 \ln 17\) - 16)
• C) \(\pi ( 16 \ln 17 - 16 )\)
• D) \(\pi ( 17 \ln 17 + 16 )\)

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Definitions:

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Peripheral Edema

Swelling caused by an accumulation of fluid in the tissues, typically occurring in the lower legs and ankles.

Basilar Crackles

Fine or coarse sounds heard in the lower part of the lungs with a stethoscope, usually indicating fluid in the airways or atypical airway popping open, often associated with conditions like pneumonia or heart failure.

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