Binomial Expansion

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Question 41

Medium

The growth rate $H (s)$ of a synthetic crystal, where $s$ is the concentration of an additive, is modeled by the function:

$\frac{9s + 4}{(1 - 3s)(2 + s)}$

Express $H (s)$ in partial fractions.

[4]

Hence find the binomial series expansion of $H (s)$ in ascending powers of $s$ , up to and including the term in $s^2$ . Give each coefficient as a simplified fraction.

[6]

Determine the range of values of $s$ for which the expansion in (b)(i) is valid.

[2]

Binomial Expansion

Question 41

Binomial Expansion Questions

Binomial Expansion

Question 41

Binomial Expansion Questions