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Black Book Advanced Problems in MathematicsMathematicsArea Under Curves

Let the function f : [-4, 4] [-1, 1] be defined implicitly by the equation x + 5y - y^5 = 0 . If the area of triangle formed by tangent and normal to f(x) at x = 0 and the line y = 5 is A , find A 13 .

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5

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