1. Consider the differential equation jy = kyUO y}- Let y = f(x) be the X particular solution to the differential equation with the initial condition if (D) = 1. Part A: Use Euler's method with two steps of equal size to approximate f(2} in terms of k. Part B: Find f\"(0) in terms of k and y. 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 a = ${A-1D) for the next 10 years. A (if is measured in tons, and fis 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 rst three months of 2020 (time 1: $1. Show the work that leads to your answer. 2 Part E: Find u in terms of A. Use Q to determine whether your a? a: answer in part A is an underestimate or an overestimate ofthe amount of product that the warehouse contains at time t: %. Show the work that leads to your