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1.10 G: Differentiation

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Question 153

In a nuclear fusion experiment, the magnetic flux boundary in a specific cross-section of the tokamak is modeled by the implicit equation

2x2y−3y2+x3=12 2x^2y - 3y^2 + x^3 = 12 2x2y−3y2+x3=12

where x x\,x and y y\,y are spatial coordinates in decimeters.

Determine the equation of the tangent line to this boundary at the point P(2,2)P(2, 2)P(2,2), expressing your result in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,ba, ba,b, and c c\,c are integers.

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Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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