1. 4 Evaluate the following limit [10] lim rz -x-2 x2 -2x -3 1.5 Differentiate f(x) = (4x2 - x)(x3 - 8x2 + 12) using the product rule. [10] 3x+x4 1.6 Differentiate f (x) = using the quotient rule. [10] 2x 2+1 1.7 Evaluate Ji (x + 2x)dx [10] 1.8 Find the derivative of the function of y = 8x6 - 13x when x = -2 [10] 1.9. Given that a line passes through points: (4 , 3) and (2, 5) a) Calculate the slope of the line [4] b) Find the equation of the line [4] c) Calculate the distance between the two points [4] d) Determine the midpoint [4] e) Find the equation of the line that is perpendicular to the above given line and it passes through