Problem 2E

In Problems 1–4, use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on and of exponential order.

Chapter 9 from “Introductory Chemistry” by Zumdahl and Decoste, 7 /8 editionth Pg 203. INFORMATION GIVEN BY CHEMICAL EQUATIONS *Coefficient in a balanced equation give us the relevant number of molecules Note: we need to focus on the ratio of coefficients not the specific coefficients themselves Ex: The ratio of item when making a sandwich is: 2 bread slices + 3 meat slices + 1 cheese slice = 1 sandwich Ratio 2:3:1 *and no matter what number you multiply the equation by, the ratio is always 2:3:1 Pg 205. MOLE TO MOLE RELATIONSHIPS -We use equations to predict how many moles of products a # of moles of reactants will produce Ex: the decomposition of water into H and O 2H 2 (l) 2H (2) + O (g2 2 moles of water (H 2) gives 2 moles of hydrogen (H ) a2d 1 mole of oxygen (O )