How do I use these curves to send a manual order?

You need Expert mode and a valid Premium subscription. Open the order editor with a routing’s send button, choose “Manual” in “Order type”, then “TWA” or “COG” with the selector (the Space key alternates them). Move the pointer: a label gives the order that would be placed. Click to add it, repeat for the next orders, then press “Send”.

Manual mode while drawing

In “Manual” mode, the editor warns if a leg crosses land, ice or an exclusion zone, but does not block the sending: check the line on the map.

Going further: Sending a manual order from the curves.