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1.8 Integration

1.8 Integration

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Question 48

The vertical height HHH of a roller coaster track, in metres, is modeled by the equation H=H(x),x>0H = H(x), x > 0H=H(x),x>0, where xxx is the horizontal distance from a reference point. The track passes through the point P(4,10)P(4, 10)P(4,10).

Given that

dHdx=3x2−8x \frac{dH}{dx} = \frac{3x^2 - 8}{\sqrt{x}} dxdH​=x​3x2−8​
a.

Find the equation of the tangent to the track profile at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c, where mmm and ccc are integers to be found.

[3]
b.

Find the function H(x)H(x)H(x).

[5]
Markscheme

1.8 Integration Questions

  1. A Level
  2. /Maths
  3. /1.8 Integration

160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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