Skip to content

Course home

Sign up

11.8 Finding Areas

EasyMediumHard
12345678910111213
Question 7

A landscape architect is designing a decorative concrete partition for a park. The height of the partition, HHH metres, at a horizontal distance ddd metres from a central pillar, is modeled by the equation

H=24d+9,d≥−2.25 H = 2\sqrt{4d + 9}, \quad d \ge -2.25 H=24d+9​,d≥−2.25

A straight support beam, represented by line lll, is attached to the partition at the point P(4,10)P(4, 10)P(4,10). The beam is perpendicular to the curve of the partition at PPP.

a.

Use calculus to show that an equation for the line lll is

5d+4H−60=0 5d + 4H - 60 = 0 5d+4H−60=0
[4]
b.

The region RRR is the cross-sectional area of the partition's side, bounded by the curve, the ground (the line H=0H = 0H=0), and the support beam lll.

Use algebraic integration to find the exact area of RRR.

[6]
Markscheme

11.8 Finding Areas Questions

  1. A Level
  2. /Maths
  3. /11.8 Finding Areas

27 exam-style questions on Edexcel A Level Maths 11.8 Finding Areas. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank