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 $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$

Question

Quizplus · Accepted Answer

The Answer of 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 $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$

Solve the Problem xyx yxy -Plane Minimizes the Value Of ∫R∫(4x2+25y2−100)dA?\int _ { R } \int \left( 4 x ^ { 2 } + 25 y ^ { 2 } - 100 \right) d A ?∫R​∫(4x2+25y2−100)dA?

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