(1A) Reduce the following fraction to its lowest term. 6xyz3xz+4xy 4 marks (1B) Solve the following equation. 4x26x+2=0 4 marks (1C) Apply the appropriate rule of indices to the following algebraic expression. 4 marks (1D) Derive the first-order and second-order derivatives of the following functions. (i) y(x)=(2x+7)(x5)a 5 marks (ii) y(x)=lnx2 5 marks (1E) There are 100 consumers in a market. Each consumer's demand function is given by d:P=aq+b where P denotes the price of the good and q denotes each consumer's quantity demanded. (i) What is the value of the vertical intercept of the market demand function in a QP quadrant? 3 marks (ii) What is the value the slope of the market demand function in a QP quadrant? 5 marks (iii) Draw the graph of the market demand function D in a QP quadrant. 5 marks