Let f(x, y) = 4x² + 5y³ A) Find the equation of the plane that passes through the point (2, -2, ƒ(2, 2)) Z= B) Use the linearization to approximate the values of at the point (2.03, 1.99) and (2.04, 1.96) Approximation of f(2.03, — 1.99) - Approximation of f(2.04,- 1.96) = C) Compare the approximations form part (b) to the exact values of f(2.03, - 1.99) and f(2.04,- 1.96). Which approximation is more accurate? Explain why this should be expected.

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