(B) Let be the function that satisfies the given differential equation. Write an equation for the tangent line to the f curve through the point (1, 1). Then use your tangent line equation to estimate the value of y f f = (x) (1.2). (C) Find the particular solution to the differential equation with the initial condition Use your y f f = (x) (1) =1. solution to find f (1.2). (D) Compare your estimate of found in part (b) to the actual value of found in part (E) Was your f f (1.2) (1.2) estimate from part (b) an underestimate or an overestimate? Use your slope field to explain why. 23. Consider the differential equation given by (A) On the axes provided, sketch a slope field for the given differential equation.
(B) Let f be the function that satisfies the given differential equation. Write an equation for the tangent line to the curve y = f (x) through the point (1, 1). Then use your tangent line equation to estimate the value of f (1.2). (C) Find the particular solution y = f (x) to the differential equation with the initial condition f (1) =1. Use your solution to find f (1.2). (D) Compare your estimate of f (1.2) found in part (b) to the actual value of f (1.2) found in part (E) Was your estimate from part (b) an underestimate or an overestimate? Use your slope field to explain why. 23. Consider the differential equation given by (A) On the axes provided, sketch a slope field for the given differential equation.