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11.4 Reverse Chain Rule

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Question 8

A scientist models the rate of temperature change, dTdt\frac{dT}{dt}dtdT​, of a new alloy using the equation

dTdt=9t3t2+k \frac{dT}{dt} = \frac{9t}{3t^2 + k} dtdT​=3t2+k9t​

where t≥0t \ge 0t≥0 is the time in seconds and kkk is a positive constant.

a.

Find

∫9t3t2+k dt \int \frac{9t}{3t^2 + k} \, dt ∫3t2+k9t​dt
[2]
b.

Given that the change in temperature between t=0t = 0t=0 and t=2t = 2t=2 is exactly ln⁡125\ln 125ln125 degrees, determine the value of kkk.

[4]

11.4 Reverse Chain Rule Questions

  1. A Level
  2. /Maths
  3. /11.4 Reverse Chain Rule

Practise Edexcel A Level Maths 11.4 Reverse Chain Rule with exam-style questions for A Level Maths. 8 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank