Created by T Madas Question 218 (****) The curve C has equation y=7 x− , x>0 x Show clearly that d y dy y = 4x x + dx dx MP1-F , proof Created by T Madas Created by T Madas Question 219 (****) non calculator y = 23 x − , x > Show clearly that y dx = 12 proof Created by T Madas Created by T Madas Question 220 (****) y N M y = x − x4 O x The diagram below shows the quartic curve with equation y = x − x4 , x ∈ » The point M is the maximum point on the curve and the point N lies on the y axis so that the straight line segment MN is parallel to the x axis Find the exact area of the shaded region, bounded by the curve, the y axis and the straight line segment from M to N C2U , area = 40 Created by T Madas