Binomial Expansion

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The calibration of a specialized velocity sensor $C (v)$ , where $v\,$ represents a small change in velocity from a reference state, is modeled by the function: $kv)^{-\frac{1}{2}}$ Given that the binomial expansion of $C (v)$ in ascending powers of $v\,$ is $Rv^2 + \dots$

find the values of the constants $k$ , $P$ , and $R$ .

[4]

State the range of values of $v\,$ for which this expansion is valid.

[1]

For this expansion, find the coefficient of the term in $v^3$ .

[2]

Binomial Expansion Questions

Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 100 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.