If $f ( x , y ) = x ^ { 2 } + 9 y ^ { 2 }$

question 136

Multiple Choice

If $f ( x , y ) = x ^ { 2 } + 9 y ^ { 2 }$ , use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 136$ at the point $( 10,2 )$ . Select the correct answer.

• A) \(100 x + 81 y = 136\)
• B) \(100 x - 136 y = 12\)
• C) \(10 x + 18 y = 136\)
• D) \(100 x - 18 y = 12\)
• E) \(10 x + 18 y = 12\)

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