Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR (MEI)
  5. Question bank

1.2.17 Partial fractions (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031
Question 21

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

H(s)=9s+4(1−3s)(2+s) H(s) = \frac{9s + 4}{(1 - 3s)(2 + s)} H(s)=(1−3s)(2+s)9s+4​
a.

Express H(s)H(s)H(s) in partial fractions.

[4]
b.

Hence find the binomial series expansion of H(s)H(s)H(s) in ascending powers of sss, up to and including the term in s2s^2s2. Give each coefficient as a simplified fraction.

[6]
c.

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

[2]

1.2.17 Partial fractions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.2.17 Partial fractions (A-level only)