Created by T Madas Question 110 (***+) The point A lies on the curve with equation y = x − x + 13 The gradient of the normal to the curve at the point A is Find an equation of the tangent to the curve at A y = 12 − x Created by T Madas Created by T Madas Question 111 (***+) r h The figure above shows a closed cylindrical can, of radius r cm and height h cm a) If the volume of the can is 330 cm3 , show that surface area of the can, A cm , is given by A = 2π r + 660 r b) Find the value of r for which A is stationary c) Justify that the value of r found in part (b) gives the minimum value for A d) Hence calculate the minimum value of A MP1-A , r ≈ 3.745 , Amin ≈ 264 Created by T Madas Created by T Madas Question 112 (***+) The point A ( 2,1) lies on the curve with equation y= ( x − 1)( x + ) , 2x x∈», x ≠ a) Find the gradient of the curve at A b) Show that the tangent to the curve at A has equation 3x − y − = The tangent to the curve at the point B is parallel to the tangent to the curve at A c) Determine the coordinates of B gradient at A = , B ( −2,0 ) Created by T Madas