Created by T Madas Question 215 (****) f ( x ) = ax + bx + c , x ∈ » , where a , b and c are constants It is given that f ( x ) passes through the points ( 2,3) and ( −1,9 ) , and the curve has a stationary point where x = Determine the value of a , b and c , a = , b = −4 , c = Created by T Madas Created by T Madas Question 216 (****) y y = x − x + 10 A O x B The figure above shows the curve with equation y = x − x + 10 , x ∈ » The point A , where x = , lies on the curve The tangent to the curve at A , meets the y axis at B Determine the area of the finite region bounded by the curve, the tangent to the curve at A and the y axis SYN-L , 64 Created by T Madas Created by T Madas Question 217 (****) y A y =8 x + R 16 x2 − 13 B x O The figure above shows part of the curve with equation y =8 x + 16 x2 − 13 , x > The points A and B lie on the curve where x = and x = , respectively The finite region R is bounded by the curve, the straight line segment AB Determine the exact area of R C2H , area = 73 Created by T Madas