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 $R$ .

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

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

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 $R$ .

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

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

1 Unit 1: Pure Mathematics A

Question 219

Markscheme

1 Unit 1: Pure Mathematics A

Question 219

Markscheme

1 Unit 1: Pure Mathematics A

Question 219

1 Unit 1: Pure Mathematics A Questions

1 Unit 1: Pure Mathematics A

Question 219

1 Unit 1: Pure Mathematics A Questions