Please could someone help me with these questions. Thank you.

1. Consider the differential equation dy dx Part A: Sketch a slope field for the given differential equation for the domain [-2, 2] and range [-2, 2]. Part B: While the slope field in part A is drawn at only 25 points, it is defined at every point in the xy-plane. Describe all points in the xy-plane for which the slopes are negative. Part C: Let y = fix) be the particular solution to the differential equation with the initial condition f(1) = -1. Write an equation for the line tangent to the graph of fat (1, -1) and use it to approximate f(1.2). Part D: Find the particular solution y = ((x) to the given differential equation with the initial condition f(1) = -1.2. At the beginning of 2020, a manufacturer's warehouse contained 1,100 tons of product, The increasing function A models the total amount of material stored in the warehouse. Administration estimates that A will satisfy the differential equation dA 1 (A-100) for the it 10 next 10 years. A is measured in tons, and t is measured in years from the start of 2020. Part A: Use the line tangent to the graph of A at t = 0 to approximate the amount of product that the warehouse contains at the end of the first three months of 2020 (time { = - ). Show the work that leads to your A