Solutions to the differential equation = xy³ also satisfy = y'(1+ 3xy). Let y = f(x) be a %3D particular solution to the differential equation dx = xy with f(1) = 2. (a) Write an equation for the line tangent to the graph of y = f(x) at x = I. (b) Use the tangent line equation from part (a) to approximate f(1.1). Given that f(x) > 0 for 1< x <1.1, is the approximation for f(1.1) greater than or less than f(1.1)? Explain your reasoning.

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