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1.10.5 Implicit and parametric differentiation (A-level only)

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Question 44

An engineer is designing a prototype lens. The cross-section of the lens boundary in the xyxyxy-plane is defined by the curve CCC with equation

4x2y−2y3+5x3=−3 4x^2y - 2y^3 + 5x^3 = -3 4x2y−2y3+5x3=−3

Find an equation of the normal to CCC at the point P(1,2)P(1, 2)P(1,2), giving your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, bbb and ccc are integers.

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1.10.5 Implicit and parametric differentiation (A-level only) Questions

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