You are given function $f(t) = t^2 + (n-1-t)^2$ defined on the closed interval [0,n-1], that is t takes values from that interval. Determine the maximum of f(t) in the closed interval [0,n-1].

(a)Therefore find the value (or values) t of [0,n-1] that maximizes f(t) and GIVE as an answer the value of t.

[ Select ] ["t=0 and t=n-1", "t=n-1", "t=n/2", "t=(n-1)/2", "There is no maximum in [0,n-1]", "t=0"]

(b) How many values t did you find? [ Select ] [0 1 2]