5. Suppose that M is covered by open sets U1, ..., Ux, and on each U there defined a function f; such that fi - f; is constant on the overlap of U, and U. Show that there is a 1-form o on M such that 0 = df; on each U;. Gener- alize to the case of 1-forms ( such that Qi - 0; is closed. is 5. Suppose that M is covered by open sets U1, ..., Ux, and on each U there defined a function f; such that fi - f; is constant on the overlap of U, and U. Show that there is a 1-form o on M such that 0 = df; on each U;. Gener- alize to the case of 1-forms ( such that Qi - 0; is closed. is