Created by T Madas Question 194 (****) The point A ( p, q ) lies on the curve with equation y = x3 − x + x − The tangent to the curve at A has equation x + y +1 = Find the coordinates of A ( C1P , A , − Created by T Madas ) Created by T Madas Question 195 (****) non calculator The population, P in thousands, of a colony of wild bees, t weeks after a certain instant, is given by the formula P = 16 t + 27 , < t < 16 t a) Calculate the number of bees in the colony after weeks b) Find the range of values of t during which the bees’ population is increasing C2U , P = 36000 , < t < 16 Created by T Madas Created by T Madas Question 196 (****) A curve has equation ( ) y = x x − 128 x , x∈» , x>0 ( ) The curve has a single stationary point with coordinates 2α , − β , where α and β are positive integers Find the value of β and justify that the stationary point is a local minimum MP1-O , β = 12 Created by T Madas