For the function
f(x)={2x+1,7,0≤x<3,3≤x≤5,
answer the following.
a. Part 1: (i) Identify the sub-intervals on which f(x) is defined by different expressions.
b. Part 2: (ii) Write an integral expression for the average value of f(x) on the interval [0,5].
c. Part 3: (iii) Evaluate the integral(s) obtained in (ii) and hence find the average value of f(x) on [0,5]. Express your answer in simplest form.