A rectangle with base on the x-axis has its upper vertices on the curve $y = 4 - \frac { 1 } { 2 } x ^ { 2 }$ . Find the maximum perimeter of such a rectangle.

Name: A rectangle with base on the x-axis has its upper vertices on the curve $y = 4 - \frac { 1 } { 2 } x ^ { 2 }$ . Find the maximum perimeter of such a rectangle.
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The Answer of A rectangle with base on the x-axis has its upper vertices on the curve $y = 4 - \frac { 1 } { 2 } x ^ { 2 }$ . Find the maximum perimeter of such a rectangle.

A Rectangle with Base on the X-Axis Has Its Upper y=4−12x2y = 4 - \frac { 1 } { 2 } x ^ { 2 }y=4−21​x2

A Rectangle with Base on the X-Axis Has Its Upper $y = 4 - \frac { 1 } { 2 } x ^ { 2 }$