Find the Equation of the Line Normal to the Curve $x ^ { 3 } y ^ { 4 } - 5 = x ^ { 3 } - x ^ { 2 } + y$

question 45

Multiple Choice

Find the equation of the line normal to the curve defined by the equation $x ^ { 3 } y ^ { 4 } - 5 = x ^ { 3 } - x ^ { 2 } + y$ at the point (2, $- 1$ ) .

• A) \(33 x + 4 y - 62 = 0\)
• B) \(33 x - 4 y - 62 = 0\)
• C) \(33 x + 4 y + 62 = 0\)
• D) \(33 x - 4 y + 62 = 0\)
• E) \(4 x - 33 y - 41 = 0\)
• F) \(4 x + 33 y - 41 = 0\)
• G) \(4 x - 33 y + 41 = 0\)
• H) \(4 x + 33 y + 41 = 0\)

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