It depends on the desktop computer. It may be, but check with your manufacturer.
Yes it is! The AMD Athlon II series is based on the AM3 processor socket, which is compatible with the ASRock N68-S3 motherboard!
Yes, the ASRock 775i65G LGA 775 Intel 865G Micro ATX Intel Motherboard is compatible withCore 2 Duo, Pentium D and Celeron D processors.
This varies between motherboard manufacturer's. You would need to contact your motherboard manufacturer e.g ASROCK to find out for sure.
Yes, the case is compatible with Micro ATX motherboards, such as that ASRock board. For the RAM, I'd suggest getting Corsair Vengeance LPX DDR4 2133. It is compatible with the motherboard, and isn't too bad of a price for having a decent heat spreader.
Yes. Asrock 939Dual. http://www.tomshardware.com/reviews/asrock-939dual,1120.html
Pixel shader technology is part of your video card and its drivers. Unless your motherboard has integrated video, it has nothing to do with pixel shader. If your asrock motherboard has integrated video, find out what kind of integrated video it has & post a new question with that info.
No it does not.
Yes, an AsRock FM2A55M-DGS FM2 AMD A55 Hudson D2 Micro ATX AMD motherboard will work with an AMD Athlon X4 740 Trinity 3.2GHZ socket FM2 65W Quad-Core desktop processor. The compatibility would be based off of the fact that they are both FM2 devices.
More details would be required to answer this I'm afraid. Ie the model number of the motherboard. From here, we can be of more use to you.
The ASRock G31M-S uses DDR2-667 or DDR2-800 modules. it supports up to 8 GB of RAM using two 4 GB modules.
The population of ASRock is 190.
ASRock was created in 2002.