I'm a bit lost here. What kind of intake are we talking about here? Is this something found on a Bullit or something?
If it's a panel style, it should be housed in an air box held closed by 2 or more retaining clips on the edges of the box. Release those to access the filter.
If it's a cone style, exposed or boxed, the cone will either be a twist & release type, slip on, or held in place by a worm clamp. Worm clamps typically are a hex head style with either Philips or flat head as an option. Removal method is fairly obvious.
I only know of Paper and Cotton type filter materials typically used for Mustangs. Paper ones should not be cleaned & re-used. Unless you're just knocking the dust/debris out and re-using it in that sense. All Cotton types are usually safe using K&N's cleaning/re-oiling kit. Some Cotton type filters don't require oil, but are rare. When I clean my Cotton type filters, I use the K&N cleaning spray, rinse with cold low pressure water and if there's larger debris trapped in the pleats I use a needle nose or tweezers to remove debris. Set the panel or cone up-right so the water runs off and let it dry for 3-6 hours (depending on temp, humidity, airflow). Re-apply K&N filter oil to the filtering side only (dirty side) and let that dry. Wipe away any excess oil. Excess oil can/will foul your MAF. It's good practice to clean your MAF when you clean your air filter, but also to check your MAF after running the car for a while with a freshly cleaned filter, to make sure no oil is fouling your MAF sensor.
Hope this is in the ballpark for ya.