Skip to content

Course home

1.7 Integration

1.7 Integration

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495
Question 39

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

1.7 Integration Questions

  1. A Level
  2. /Maths
  3. /1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank