Find the Extreme Values of the Function Subject to the Given

question 338

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $f ( x , y ) = 7 x ^ { 2 } + 3 y ^ { 2 } , x ^ { 2 } + y ^ { 2 } = 1$

• A) Minimum: 3 at \(( 0 , \pm 1 )\); maximum: 0 at \(( 0,0 )\)
• B) Minimum: 3 at \(( \pm 1,0 )\); maximum: 7 at \(( 0 , \pm 1 )\)
• C) Minimum: 3 at \(( 0 , \pm 1 )\); maximum: 7 at \(( \pm 1,0 )\)
• D) Minimum: 3 at \(( \pm 1,0 )\); maximum: 0 at \(( 0,0 )\)

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