Find an Equation of the Tangent Plant to the Parametric $x = u - v , y = u + v , z = u ^ { 2 }$

question 137

Multiple Choice

Find an equation of the tangent plant to the parametric surface $x = u - v , y = u + v , z = u ^ { 2 }$ at the point $( 0,2,1 )$ .

• A) \(x + y + z = 3\)
• B) \(x + y - z = 1\)
• C) \(x + y + 2 z = 4\)
• D) \(x + y - 2 z = 0\)
• E) \(x + 2 y + z = 5\)
• F) \(x - 2 y + z = - 3\)
• G) \(2 x + y + z = 3\)
• H) \(2 x + y - z = 1\)

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