Let co be constant. Verify that U = F(x — cot) and U = G(x + cot) are solutions of Utt = co^2Uxx for any twice-differentiable functions F and G. If F(x) = 1/(1 + x2), sketch time profiles of the wave U(x, t) =(F(x-t)+F(x+t)).

Sally deposited money into a savings account paying 4% simple interest per year. the first year, she earned $75 in interest. how much interest will she earn during the following year? show your work and explain your reasoning in the space provided below.