Question 5 (14 marks) Consider the curve C in the r-y plane described by the equations z = 5cos(0), y = 4sin(0), where 0 5 0 5 2x. (a) Find a relation relating y and z. (b) Sketch the graph of the curve C in the z-y plane. (c) Find functions f and g such that C = {(z,y) ly = f(=)} U{(z,y) ly=9(z)). In other words, express C as the union of graphs of functions of r.(d) Evaluate V/25 - s' ds, carefully documenting each step of your calculation. Hence, calculate the area enclosed by C