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4.3 Using Partial Fractions

Question 1

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]

Markscheme

4.3 Using Partial Fractions Questions

A Level
Maths
4.3 Using Partial Fractions

4 exam-style questions on Edexcel A Level Maths 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

4.3 Using Partial Fractions

Question bank

4.3 Using Partial Fractions

Medium

1 2 3 4

Question 1

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]

Markscheme

4.3 Using Partial Fractions Questions

A Level
Maths
4.3 Using Partial Fractions

4 exam-style questions on Edexcel A Level Maths 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.