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a. Find a curve y = f(x) with the following properties: y 2 = 6X dx ii) Its graph passes through the point (0,1), and

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a. Find a curve y = f(x) with the following properties: y 2 = 6X dx ii) Its graph passes through the point (0,1), and has a horizontal tangent there. b. How many curves like this are there? How do you know? a. Find dy the antiderivative of dx Use C, as your arbitrary constant. dx dy dx

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