Skip to content

Course home

Algebraic Methods

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261
Question 237

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

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank