I have no problems with drawing the graph. I got that function is symmetrical about the x axis, roots at and and a turning point you have a closed loop between 0 to 3a and then y just increases with x increasing.A curve has equation
where a is a positive constant
a) Sketch a graph of the curve and showing stationary points and intersection with the axes
b) show that the arc length of C in the first quadrant form the point up to is given by
My only problem is the arc length part. I could do with a pointer.