Let <span class="katex-r" data-latex="displaystyle f(t) = beg∈{cases} t &a∓; text{if } 0 ≤ t < 2, 0 &a∓; text{if } t ≥ 2. {cases}"></span>1. F∈d the Laplace ansfm of <span class="katex-r" data-latex="displaystyle f(t)"></span>.2. Solve the ∈itial value oblem <span class="katex-r" data-latex="displaystyle beg∈{cases} x'' + 4x' + 4x = f(t) x(0) = 0, x'(0) = 1 {cases}"></span>