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3. Consider the curve which is the graph of the equation 533 + yrs 33:11,! = 0. Graph this curve using your favourite software or

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3. Consider the curve which is the graph of the equation 533 + yrs 33:11,! = 0. Graph this curve using your favourite software or graphing calculator to see what this looks like! (It will also help you check your work.) (a) (3 marks) Find an expression for 5% in terms of :1: and y, justifying your steps with the appropriate rules. (1)) (2 marks) Find all points on the curve whose tangent lines are horizontal. You may use the fact, without justicationj that the derivative3 533:, does not exist at the point (03 0) (convince yourself of this by looking at a graph, but no need to comment on it in your solution here)

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