You are given function $ F(t) = t^2 + (n-1-t)^2 $ defined on the closed interval $ [0, n -1] $. (note; $ is just beginning and end of math)

Study the extremes of f(t) with respect to maximum (maximal) values. Provide answers to the following questions.

1) What is the value(s) t in the interval $ [0, n -1] $ for which $ f(t) $ attains a maximum (value) ?

a: there is no maximum in [0,n-1]

b: t=n/2

c: t=0 and t=n-1

d:t=n-1

e:t=(n-1)/2

f:t=0

2) How many values t did you find?

a: 0 b: 1 c: 2 d: 3

is 1: c and 2: c the right choices