Explain why the following four statements ask for the same information.(i) Find the roots of...

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Explain why the following four statements ask for the same information.(i) Find the roots of f(x) = 3x3 - 3x - 1(ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 3x + 1.(iii) Find the x-coordinates of the points where the curve y = x - 3x crosses the horizontal line y = 1.(iv) Find the values of x where the derivative of g(x) = 3 4x4 - 3 2x - x + 5 equals zero.

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Explain why the following four statements ask for the same information.(i) Find the roots of f(x) = 3x3 - 3x - 1(ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 3x + 1.(iii) Find the x-coordinates of the points where the curve y = x - 3x crosses the horizontal line y = 1.(iv) Find the values of x where the derivative of g(x) = 3 4x4 - 3 2x - x + 5 equals zero.

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