Solve the Problem $$\int _ { R } \int \left( 1600 - 64 x ^ { 2 } - 25 y ^ { 2 } \right) d A ?$$

question 406

Multiple Choice

Solve the problem.
-What region in the xy-plane maximizes the value of
$$\int _ { R } \int \left( 1600 - 64 x ^ { 2 } - 25 y ^ { 2 } \right) d A ?$$

• A) The ellipse \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 64 } = 1\)
• B) The ellipse \(25 x ^ { 2 } + 64 y ^ { 2 } = 1600\)
• C) The ellipse \(64 x ^ { 2 } + 25 y ^ { 2 } = 1\)
• D) The ellipse \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 25 } = 1\)

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