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

question 6

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 $( 10,2 )$ .
Select the correct answer.

• 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) \(100 x - 12 y = 12\)

Understand the contributions of Rachel Ruysch in the context of Dutch floral painting.

Identify key features of Baroque architecture and its differences among European regions.

Understand the structure and elements of the circular-flow diagram in economics.

Identify the role of households and firms in the circular-flow diagram.

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