Tantalum caps are notorious for being very intolerant to reverse polarity; as a general rule, if you aren't sure which way they are supposed to be oriented, or if there's no indication of polarity, don't use them. If you do know the proper orientation then you're good!
Comparing the layout to the schematic, it appears that both capacitors should have their positive terminals oriented to the left.
My first experience of Tantalum caps being incorrectly orientated was in my first job, as an electronics tech apprentice. Sometimes they'd go pop, blasting the top of the cap into space, otherwise they'd catch fire. It could be quite entertaining!
Definitely don't use them unless your're absolutely sure which way round they're supposed to go.