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FREE RESPONSE (No calculator) _ z2+a3x? Consider the differential equation given by % ) A. On the axes provided, sketch a slope field for the
FREE RESPONSE (No calculator) _ z2+a3x? Consider the differential equation given by % ) A. On the axes provided, sketch a slope field for the given differential equation. B. Let fbe the function that satisfies the given differential equation. Write an equation for the tangent line to the curve y = f(x) through the point (1,2). C. Use your tangent line to estimate f(1.1). D. Find the particular solution y = f(x) to the differential equation with the initial condition fQ)=2. E. Is your estimate for f(1.1) from part (c) an overestimate or an underestimate? Use your slope field to help explain why
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