The kernelanalyzer has nothing to do with mining. I honestly hadn't even heard of before. Any card is supported. There aren't any limitations in that sense. Now, assuming you have the Catalyst driver and SDK installed, it will work. The only thing I can think of is you aren't changing the drop down box to the GPU, the card isn't working properly and may be broken, or you didn't install the SDK properly. It would help if you had a picture of your guiminer on here for me to see. Also, don't mine with your CPU. You spend way more on electricity than you make in Bitcoins.
Another possibility is you have your monitor hooked up to the motherboard and you don't have a dummy plug on your 5750 so Windows isn't showing the GPU.