Please capitalize where necessary: this interaction is twofold: graph theory is a useful tool to analyse problems in computer science, and in return these problems help formulate relevant mathematical questions.
A: This interaction is twofold: graph theory is a useful tool to analyse problems in computer science, and in return these problems help formulate relevant mathematical questions.

Please capitalize where necessary: measures the amount of feed at the feed fence and determines where and when fresh feed is needed.
A: Measures the amount of feed at the feed fence and determines where and when fresh feed is needed.

Please capitalize where necessary: normally, dogs that have mild anticoagulant poisoning will not show signs of poisoning for several days, but as the poison begins to affect the system, the dog will become weak and pale due to blood loss.
A: Normally, dogs that have mild anticoagulant poisoning will not show signs of poisoning for several days, but as the poison begins to affect the system, the dog will become weak and pale due to blood loss.

Please capitalize where necessary: he had already published a major work on control of systems controle optimal de systemes gouvernes par des equations aux derivees partielles in 1968 which investigates deterministic optimisation problems involving partial differential equations.
A:
He had already published a major work on control of systems Controle optimal de systemes gouvernes par des equations aux derivees partielles in 1968 which investigates deterministic optimisation problems involving partial differential equations.