1. Find - if y = e2x + 2ex + x2e + e2 dx 2. Find the 3'd derivative of y = e3x - x3 when x = 0. 3. Find the equation of the tangent line to y = xinx that is parallel to y = 2x + 5.4. Determine the equation of the line perpendicular to the tangent line to the function y = ems" at the point where x = g. 5. Given the tangent to y = lnx is y = Ex at (e, 1). Find a parallel tangent to y = 6" and state its equation. [2 marks]