Can a tablet replace a computer?

I have been thinking about replacing my notebook with a tablet for some time and finally decided to give it a try. Before I chose a tablet to replace my notebook, I thought about the things I do with my computer. I browse the web, send and receive emails, manage my websites, watch movies and YouTube videos, and work on the Office Suite. I also spend a lot of time on Linux servers and remote Windows machines so an ability to connect via VNC and RDP is a must feature. All those things I've identified can be done on a tablet, so it may actually work. In order to use a tablet to manage remote computers, I must have a keyboard and a mouse.