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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 144

A magnetic flux contour line CCC within a specialized superconducting alloy is modeled by the equation

y2+60x−x2y=k,y>0 y^2 + 60x - x^2 y = k, \quad y > 0 y2+60x−x2y=k,y>0

where kkk is a constant and xxx and yyy represent spatial coordinates measured in micrometers.

a.

Find dydx\dfrac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

The point P(p,10)P(p, 10)P(p,10), where ppp is a constant, lies on CCC. Given that PPP is the minimum turning point on CCC,

find

(i) the value of ppp

(ii) the value of kkk

[5]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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