If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$

question 153

Multiple Choice

If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$ , use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 124$ at the point $( 10,2 )$ .

• A) \(100 x + 36 y = 124\)
• B) \(100 x - 124 y = 12\)
• C) \(10 x + 12 y = 124\)
• D) \(10 x + 12 y = 12\)
• E) \(100 x - 12 y = 12\)

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