Created by T Madas Question 18 (**+) y A B y =3 y = − x2 + x − x O The figure above shows a quadratic curve and a straight line with respective equations y = − x + x − and y = The points A and B are the points of intersection between the quadratic curve and the straight line a) Find the coordinates of A and B b) Determine the exact area of the finite region bounded by the quadratic curve and the straight line, shown shaded in the above figure A ( 2,3) , B ( 4,3) , area = Created by T Madas Created by T Madas Question 19 (***) y y = x ( x − 1)( x − 3) O x A B The figure above shows part of the curve with equation y = x ( x − 1)( x − 3) , x ∈ » The curve meets the x axis at the origin and at the points A and B Determine the exact area of the finite region bounded by the curve and the x axis, shown shaded in the figure above area = 37 Created by T Madas Created by T Madas Question 20 (***) y y = −4 x + 24 x − 20 x O A B y = x − 6x + The figure above shows the graph of the curves with equations y = −4 x + 24 x − 20 and y = x2 − x + The two curves intersect each other at the points A and B The finite region R bounded by the two curves is shown shaded in the figure Find the exact area of R 160 Created by T Madas