If the desktop version is carousel_test_image.jpg, the mobile version would be carousel_test_image_mobile.jpg
This scheme is mandatory for the javascript picture switching to work.
Other comments
The carousel slide text only shows up on the mobile version (as per design pictures).
Personally I would either enable it for both or for neither viewport, so that the users don't see different content when viewing on different devices.
New carousel using bootstrap
Picture sizes (can be changed if needed):
Naming scheme for images:
carousel_test_image.jpg
, the mobile version would becarousel_test_image_mobile.jpg
Other comments
The carousel slide text only shows up on the mobile version (as per design pictures). Personally I would either enable it for both or for neither viewport, so that the users don't see different content when viewing on different devices.