Which of the following statements about copyrights is true? (1)A thesis advisor at a graduate institute may compile their students' work and publish it as a monograph. (2)The copyright for student essays written under the guidance of a professor during school hours belongs to the school. (3)In principle, recording or videotaping a live performance of art is against copyright law. (4)A work can be freely modified after the death of its author as it is no longer protected by copyright law