Solve the Problem $f ( x , y ) = \sin \sqrt { x ^ { 2 } + y ^ { 2 } }$

question 287

Multiple Choice

Solve the problem.
-Integrate $f ( x , y ) = \sin \sqrt { x ^ { 2 } + y ^ { 2 } }$ over the region $0 \leq x ^ { 2 } + y ^ { 2 } \leq 16$ .

• A) \(\pi ( \sin 4 - \cos 4 )\)
• B) \(\pi ( \sin 4 - 4 \cos 4 )\)
• C) \(2 \pi ( \sin 4 - \cos 4 )\)
• D) \(2 \pi ( \sin 4 - 4 \cos 4 )\)

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