34.3 Let ƒ be defined as follows: f(t) = 0 for t < 0; f(t) = t for 0 ≤ t ≤ 1; f(t) = 4 for t > 1. (a) Determine the function F(x) = f f(t) dt. (b) Sketch F. Where is F continuous? (c) Where is F differentiable? Calculate F' at the points of differentiability.