A=24, B=21, C=18
- Find the gradient function for \[y=\frac{x-2}{x^2}\]
[3 marks]
- Find the coordinates of any stationary points and determine their nature \[y=\frac{1+x^2}{x}\]
[5 marks]
- Find the equations of the tangent and the normal when $x=4$ in the form $ax+by=c$ where a,b and c are integers \[ y=\frac{4\sqrt{x}-x^2}{x^{\frac{3}{2}}}\]
[7 marks]
- Find \[ \int{(x-2)^3} dx \]
[3 marks]
- Find $y$ if (1,-2) is a boundary condition\[ \frac{dy}{dx}= \frac{x-1}{x^3} \]
[4 marks]
- Find \[ \int_0^2{(2x-3)^4} dx \]
[4 marks]
- Find the area enclosed by the curve $y=1-x^2$ and the x axis
[4 marks]
