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Module 6 Lesson 2 Activity 1 Calculator Inactive Let y = f(x)be a solution to the differential equation 7% = xyz. x at Owhere f(1)
Module 6 Lesson 2 Activity 1 Calculator Inactive Let y = f(x)be a solution to the differential equation 7% = xyz. x at Owhere f(1) = 2. a) Provide a sketch of the slope eld 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 ZZat x = land use it to determine whether the value for f (1. 2) that you found in part c is an x underestimate or an overestimate. Justify your answer. e) Find the particular solution 3.! = f(x) to the given differential equation with the initial condition f (1) = 2. Show all supporting work
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