May I ask someone to help me with these four questions? Many thanks!

Exercise: Some Examples. Either prove or disprove that the following functions are uni- formly continuous. (i) e : [0, 1] - R, e(x) = 12 (ii) f : R - R, f(x) = sin(x) (iii ) g : R - R, g(x) = sin(z2) (iv) h : [0, 1] -> R, h(r) = sin(z2) Exercise: Lipschitz T line LIn