BC Module 7 DBA (written portion) This is a NON-CALCULATOR assignment. Show all your work to support your answers. Handwrite your work on a separate sheet of paper and upload directly to this assignment. (5 points each) Consider the differential equations = y2(x + 2). Lety = f(x) be the particular solution to the differential equation with initial condition f (0) = -2. (a) Find lim ( ()+2 * -0 sinx ' Show the work that leads to your answer. (b) Write an equation for the line tangent to the graph of f at the point (0, -2). Use the tangent line to approximate f (0.3). (c) Use Euler's method, starting at x = 0 with two steps of equal size, to approximate f (1). (d) Find y = f(x), the particular solution to the differential equation that passes through (0, -2). Page