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1.1 Algebra and functions

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Question 106

The rate at which a specific toxin accumulates in a filtration system, R(t)R(t)R(t) in mg per hour, is modeled for t≥0t \ge 0t≥0 by the function:

R(t)=2t4+11t3+16t2+15t+46(t+3)2 R(t) = \frac{2t^4 + 11t^3 + 16t^2 + 15t + 46}{(t+3)^2} R(t)=(t+3)22t4+11t3+16t2+15t+46​
a.

Determine the values of the constants A,B,C,A, B, C,A,B,C, and DDD such that

R(t)=At2+Bt+C+D(t+3)2 R(t) = At^2 + Bt + C + \frac{D}{(t+3)^2} R(t)=At2+Bt+C+(t+3)2D​
[4]
b.

Hence find

∫R(t) dt \int R(t) \, dt ∫R(t)dt
[3]
Markscheme

1.1 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1 Algebra and functions

306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

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