Expanding, splitting fractions and boundary conditions Problem set A Answers

1. (a) \(\frac{2}{5}x^{5} + \frac{7}{4}x^{4}+c\)
2. (b) \(\frac{1}{3}x^{3} + \frac{1}{2}x^{2} - 20x+c\)

1. (a) \(\frac{1}{3}x^{3} - 6x - 9x^{-1}+c\)
2. (b) \(\frac{1}{5}x^{5} + 4x - \frac{4}{3}x^{-3}+c\)

1. (a) \(\frac{7}{3}x^{3} - 2x+c\)
2. (b) \(-\frac{3}{4}x^{-1} - x^{-2}+c\)

\(-\frac{5}{4}t^{-2} + \frac{3}{5}t^{-5}+c\)

1. (a) \(y=2x^{4} - 3x + 11\)
2. (b) \(y=9x + 4x^{-1} - 22\)

\(y=-3x^{2} - 10x^{-1} + 20\)

1. (a) \(s=t^{3} - 4t^{2} + 5t\)
2. (b) 6 m

1. (a) \(y=x^{2} + 12x^{-1} + 7\)
2. (b) 17 m

\(y=\frac{1}{3}x^{3} - \frac{3}{2}x^{2} - 10x + \frac{69}{2}\)

\(y=-6x^{-1} + \frac{4}{3}x^{-3} + \frac{20}{3}\)