I need help with this

Consider the conical surface 2 = h(1 p/a) , p = V932 + :12 generated by the revolution around the Z axis of the straight line 2 = h(1 y/a), y 2 0. We wish to nd the geodesic curve between the points A and B ( see gure below) a) Using cylindrical coordinates (10,90, z) with 90 = arctan(y/x) ,obtain the linear functionals f (90, 90' ; p) and g(p, p'; 90) that must be minimized to nd the geodesic.Use 5 = 1/1 + (ft/(1)2 . b) Using the standard form of the Euler equation for the most conve- nient functional (f or 9), nd the differential equation that relates (,0, (p) and its general solution in terms of two integration constants. c) Verify that the equation of item b can also be obtained using the Second form of the Euler equation applied to f or g. d) Using the solution found on item b, nd the solution p(rp) associ- ated to the geodesic that passes through A and B. e) What is the length of the geodesic curve between A and B