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3.6 Integration (A-level only)

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Question 216

A curve, CCC, passes through the point with coordinates (2,4)(2, 4)(2,4). The gradient of CCC at any point (x,y)(x, y)(x,y) is given by

dydx=x2y24 \frac{dy}{dx} = \frac{x^2 y^2}{4} dxdy​=4x2y2​

Show that CCC intersects the coordinate axes at exactly one point and state the coordinates of this point. Fully justify your answer.

[6]
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3.6 Integration (A-level only) Questions

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

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

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