use the Laplace transform to solve the initial value problem. 1, 0t<1 у" — 5у' + 4у У (0) — 3, у'(0) — —5 -1, 1 t<2, 7. 0, t 2,

F * " * " ii. Section II, problem 2: Sketch the solutions passing through the points (2.1) and (4,0). * . " 7 " 17 " 17 " 1 " " 12 >10 -8 L 1 1 1 1 1 // // VA 17 7 7 72 1 1 " " -1 0 / 1 6 1 1 / 8 7 10/ 12

Consider the following function. f(x) = x4 - 16x³ + 72x² + 8 (a) Make a sign diagram for the first derivative. --Select--- v ---Select-- v X = ---Select--- (b) Make a sign diagram for the second derivative. ---Select--- V ---Select--- V ---Select--- X = ---Select--- ✓ X = ---Select--- v X = --Select-v --Select-- v