Option 1: Dwarkanath Tagore is incorrect. Although he was associated with Raja Ram Mohan Roy in various social and cultural reforms, there is no evidence to suggest that he cooperated in the implementation of his educational programs.

Option 2: David Hare is the correct answer. He was an English philanthropist and educationalist who actively supported and collaborated with Raja Ram Mohan Roy in the implementation of his educational initiatives. David Hare played a significant role in the establishment of the Hindu College in Calcutta, which was one of the key educational institutions initiated by Raja Ram Mohan Roy.

Option 3: Henri Derozio is incorrect. He was an influential poet and teacher in Calcutta, associated more with the Young Bengal movement, which was a later source of inspiration for Indian nationalism and social reform.

Option 4: William Jones is incorrect. Although William Jones was an important figure in the field of Oriental studies and contributed to the study of Indian languages and culture, there is no evidence to suggest that he collaborated with Raja Ram Mohan Roy in implementing his educational programs.

In summary, the correct answer is option 2: David Hare. He actively cooperated with Raja Ram Mohan Roy in the implementation