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1.8 Integration

1.8 Integration

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Question 65

A chemical reactor's internal pressure PPP, measured in kilopascals (kPa), increases over time ttt (minutes) according to the model

P=34t2+12,t≥0 P = \frac{3}{4}t^2 + 12, \quad t \ge 0 P=43​t2+12,t≥0

A monitoring system tracks the pressure until it reaches a critical threshold of 39 kPa. The finite region R R\,R in the first quadrant of the ttt-P P\,P plane is bounded by the PPP-axis, the horizontal line P=39P = 39P=39, and the curve representing the reactor's pressure.

Calculate the exact area of RRR.

[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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