Given r² = 4cos(2Ɵ) , 0 < Ɵ < π/4
Calculate the point on this curve with the highest y-coordinate.
How would you calculate this? I do not even know how to start this
Good. Now, differentiate that with respect to x and set y' equal to 0.
Another way to do this, without converting to Cartesian coordinates, is to maximise subject to the constraint , perhaps using Lagrange multipliers.