Question: Consider the curve defined by the equation x = y 5y + 4y, whose graph - is pictured below. Answer the following questions (be

Consider the curve defined by the equation x = y 5y + 4y, whose graph - is pictured below. Answer the following questions (be sure to show all work to justify your answers!): 1. Explain why (in words) it is not possible to express y as an explicit function of x. 2. Use implicit differentiation to find a formula for dy/dx. 3. Use your result from part (2) to find an equation of a line tangent to the graph of x = y 5y + 4y at the point 10 11 5 3+ y x

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