The equation of L isA and B are two points which lie on the curve C, with equation The diagram shows C and the line l passing through A and B.
(a) Calculate the gradient of C at the point where x=2.
The line l passes through the point with coordinates (2, 3) and is parallel to the tangent to C at the point where x=2.
(b) Find an equation of l.
(c) Find the coordinates of A and B.
The point D is the foot of the perpendicular from B on to the x-axis.
(d) Find the area of the region bounded by C, the x-axis, the y-axis and BD.
(e) Hence find the area of the shaded region.
the coordinates of A (-1,0) B (5,6)
for question 'd' I got the area = = which is correct.
I am stuck on question 'e',
If I work out the whole area between point D and A would that be the ?
and than I minus the area of the triangle and the little area above the triangle on the left hand side of the y-axis ?
- = 54 .
Area of triangle =
The correct answer is
Can someone show me where I have gone wrong or whats the correct method?