Created by T Madas Question 244 (****+) y y = + x − x2 y =8 y =5 x O The figure above shows the curve C with equation y = + x − x2 , intersected by the horizontal straight lines with equations y = and y = Calculate the exact area of the shaded region, bounded by C and the two straight lines C2O , area = 28 Created by T Madas Created by T Madas Question 245 (****+) non calculator +5 x , x > x y= Show clearly that y dx = 1931 proof Created by T Madas Created by T Madas Question 246 (****+) y O y = x − 14 x + 48 L1 Q P x R S L2 The figure above shows the curve with equation y = x − 14 x + 48 The curve crosses the x axis at the points P ( x1, ) and Q ( x2 ,0 ) , where x2 > x1 The tangent to the curve at Q is the straight line L1 The tangent to the curve at some point R is denoted by L2 Given further that L1 meets L2 at right angles, find the coordinates of the point of intersection between L1 meets L2 , denoted in the figure by S ( MP1-L , S 59 , − Created by T Madas )