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 + \cdotsP(h)=A+Bh+Ch2+Dh3+⋯ where A,B,CA, B, CA,B,C and DDD are constants.
Find the value of AAA.
Given that B=2DB = 2DB=2D and k>0k > 0k>0,
Find:
(i) the value of kkk
(ii) the value of CCC
Practise Edexcel A Level Maths 4.2 Expanding (a + bx)^n with exam-style questions for A Level Maths. 99 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.