faucet

Hi I have a kitchen mixer tap which allows the top part to pull out as a hose (like american sinks). It has frayed and I need t replace it, can you please identify what type of hose this is please and thanks I've uploaded 3No. photos

My bathtub faucet is leaking. I have closed the mains and removed the only screw. This is on the cold/hot regulation handle. I see this now but I am not sure how I am supposed to extract the cartridge. Can you help please?