Express in terms of the unit step function, the piecewise continuous causal functions () = { 2 2 , 0 ≤ < 3 + 4, 3 ≤ < 5 9, ≥ 5 [3 marks] ii. Use Laplace transforms to solve the initial value problem ) ′′ + 16 = 43 + ( − ⁄3) where (0) = 0 and ′(0) = 0.

What's for breakfast? all people who ate at a certain restaurant were surveyed as to what they ordered on a particular sunday morning. 40 ate eggs 42 ate sausage 32 ate pancakes 13 ate sausage and eggs 15 ate pancakes and sausage 11 ate eggs and pancakes 6 ate all three items 3 people didn't eat any of the items how many people ate only pancakes? how many people ate at the resturant that morning? how many people didn't eat eggs?