1. Consider the following unit-step functions: f(t) = 10u(t 3) g(t) = 3u(-t)...

Transcribed Image Text:

1. Consider the following unit-step functions: • f(t) = 10u(t – 3) • g(t) = 3u(-t) +4 •h(t) = 4u(1 - t) + 2u(t + 2) • i(t) = tu(2 – t) • j(t) = u(t) – u(t – 0.5) + u(t – 1) – u(t – 1.5) + u(t – 2) – u(t – 2.5) • k(t) = 3u(t) – 2u(-t) +0.8u(1 – t) • (t) = 3 – u(2 – t) – 2u(t) (a) Evaluate the function f(t) at t = -4,0 and +4. [3] [2] [1] [14] (b) Evaluate the function h(t) at t = 0 and +2. (c) Evaluate the function k(t) at t = 0.8. (d) Sketch all the function over the range -3 <t< 3: 1. Consider the following unit-step functions: • f(t) = 10u(t – 3) • g(t) = 3u(-t) +4 •h(t) = 4u(1 - t) + 2u(t + 2) • i(t) = tu(2 – t) • j(t) = u(t) – u(t – 0.5) + u(t – 1) – u(t – 1.5) + u(t – 2) – u(t – 2.5) • k(t) = 3u(t) – 2u(-t) +0.8u(1 – t) • (t) = 3 – u(2 – t) – 2u(t) (a) Evaluate the function f(t) at t = -4,0 and +4. [3] [2] [1] [14] (b) Evaluate the function h(t) at t = 0 and +2. (c) Evaluate the function k(t) at t = 0.8. (d) Sketch all the function over the range -3 <t< 3: