Created by T Madas Question 300 (*****) It is given that k ( k + 3x kx3 ) dx = a − k , where a and k are integers Use algebra to determine the value of a SYN-T , a = Created by T Madas Created by T Madas Question 301 (*****) A cubic curve C has equation y = ax + bx , x∈» , where a and b are non zero constants with a > The curve C ′ is the reflection of C about the straight line with equation y = x The straight line with equation y = − x is a tangent to both C and C ′ at the origin O Given that the finite region bounded by C and C ′ has area , find the value of a SP-K , a = Created by T Madas Created by T Madas Question 302 (*****) A rectangle ABCD is such so that DC = and DA = The side DA is extended to the point E and the side DC is extended to the point F so that EBF is a straight line Determine, with full justification, the minimum area of the triangle EDF MP1-T , Amin = 48 Created by T Madas