Maths Core WMA01/WMA02: ALGEBRA Topical Past Paper Questions

$$ \mathrm{f}(x)=\frac{27}{(3-5x)^{2}}\qquad|x| (5) Use your answer to part (a) to find the series expansion in ascending powers of x, up to and including the term in $ x^{3} $, of (b) $$ \mathrm{g}(x)=\frac{27}{(3+5x)^{2}} \quad |x|<\frac{3}{5} $$ $$ \mathrm{h}(x)=\frac{27}{(3-x…

Given that a and b are constants and that $ a > b > 0 $ (a) on separate diagrams, sketch the graph with equation (i) $$ y=\left|x-a\right| $$ $$ y=\left|x-a\right|-b $$ Show on each sketch the coordinates of each point at which the graph crosses or meets the x-axis and the y-axis…