Please provide a detailed explanation of your solutions (show all your work) for the following question:

Google Doc Access Directions Please click on File in the upper left corner. If you are working on a Chromebook or Google Docs, choose the Make a copy option and save a copy of the document to your Google Drive. If not, choose the Download as option and then the Microsoft Word (.docx) option to download an editable copy of the document to your computer. Module 6 Lesson 2 Activity 1 Calculator Inactive Let y = f(o)be a solution to the differential equation -_ = xy) x # Owhere f(1) =- 2. a) Provide a sketch of the slope field for the differential equation . You may scan your graph or take a picture and email it to yourself then attach it here. b) Write an equation of the tangent line to the graph of y = f(x) at x = 1. c) Use the tangent line you found in part b to estimate the value of f(1. 2). d) Find y at wyat x = land use it to determine whether the value for f(1. 2) that you found in part c is an underestimate or an overestimate. Justify your answer. e) Find the particular solution y = f(x) to the given differential equation with the initial condition f(1) =- 2. Show all supporting work