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Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx = x3, y(6) = 0 Select the correct choice below and fill in the answer box(es) to complete your choice. O A is not continuous in any rectangle containing the point x3 The theorem does not imply the existence of a unique solution because (Type an ordered pair.) yo X3 19 The theorem does not imply the existence of a unique solution because is continuous but is not continuous in any rectangle containing B. yo ду the point (Type an ordered pair.) and are both continuous in a rectangle containing the point X3 O C. The theorem implies the existence of a unique solution because yo (Type an ordered pair.) dy