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Solutions to the differential equation dx = xy' also satisfy dx ? d'y = 3(1 + 3x2y? ). Let y = f(x) be a particular

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Solutions to the differential equation dx = xy' also satisfy dx ? d'y = 3(1 + 3x2y? ). Let y = f(x) be a particular solution to the differential equation dx dy = xy' with f (1) = 2. (a) Write an equation for the line tangent to the graph of y = f(x) at x = 1. (b) Use the tangent line equation from part (a) to approximate f(1.1). Given that f(x) > 0 for 1

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