Find a Region R Such That Double Integral $\int _ { R } \left( 2 - x ^ { 2 } - y ^ { 2 } \right) d A$

question 41

Multiple Choice

Find a region R such that double integral $\int _ { R } \left( 2 - x ^ { 2 } - y ^ { 2 } \right) d A$ has the largest value.

• A) \(x ^ { 2 } - y ^ { 2 } \leq 2\)
• B) \(x ^ { 2 } - y ^ { 2 } \geq 2\)
• C) \(x ^ { 2 } + y ^ { 2 } \leq 2\)
• D) \(x ^ { 2 } + y ^ { 2 } \geq 2\)

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