Q4.1 Two integrals. Calculate I = e " cos ry dy and hence find J = 1 10 e cos ry dydx. One of the following is true. (A) I = 1/(x + x?) and J diverges. (B) I = x/(1 + x?) and J = } log 2. (C) I = 1/(1 + x?) and J = 1/4. (D) I diverges; (E) I = 1/(1 + x2) and J = log 2. Q4.2 Differential equation. Let y(r) be the solution to the differential equation day dy ty = el with the initial conditions y (0) = 2, y'(0) = 1. Then the value y(1) is (A) -ze. (B) 0. (C) 1. (D) 10109 (E) -T