Solve the Problem $x y$ -Plane Minimizes the Value Of $$\int _ { R } \int \left( 4 x ^ { 2 } + 25 y ^ { 2 } - 100 \right) d A ?$$

question 186

Multiple Choice

Solve the problem.
-What region in the $x y$ -plane minimizes the value of
$$\int _ { R } \int \left( 4 x ^ { 2 } + 25 y ^ { 2 } - 100 \right) d A ?$$

• A) The ellipse \(25 x ^ { 2 } + 4 y ^ { 2 } = 100\)
• B) The ellipse \(4 x ^ { 2 } + 25 y ^ { 2 } = 1\)
• C) The ellipse \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1\)
• D) The ellipse \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1\)

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