I'd agree on your guess concerning the task 1.1 c). There, they talk about "robot"… it would make a lot of sense to compute the jacobian to q1-q4 from "our" robot given in task 1.1! Maybe you could help me a bit out on task 1.1 a)… what about that coordinate system in the side view?
It's me again… to 1.1) e); the shape of the manifold is simply the shape of the operable working space for the robot arm.
I think so at least and this makes perfect sense for me.