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Binomial Expansion

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Question 107

In a study of fluid dynamics, the pressure PPP within a vessel at a specific depth hhh is modeled by the expression

(4+kh)5 (4 + kh)^5 (4+kh)5

where kkk is a positive constant. For small values of hhh, the pressure can be approximated by the binomial expansion

P(h)=A+Bh+Ch2+Dh3+⋯ P(h) = A + Bh + Ch^2 + Dh^3 + \cdots P(h)=A+Bh+Ch2+Dh3+⋯

where A,B,CA, B, CA,B,C and DDD are constants.

a.

Find the value of AAA.

[1]
b.

Given that B=2DB = 2DB=2D and k>0k > 0k>0,

Find:

(i) the value of kkk

(ii) the value of CCC

[6]

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 115 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, 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