The TAJX106M035RNJ: 10 µF at 35 V with 700 mOhm ESR: this is a general-purpose bulk decoupling cap for a 3.3 V or 5 V rail where the voltage derating rule (50% margin on tantalum) still leaves 17.5 V headroom. The 700 mOhm ESR limits ripple current to about 300 mA RMS at 125°C before self-heating becomes a concern — check the ripple current curve in the datasheet for your switching frequency.
Rated -55°C to 125°C, which means this cap can sit on a satellite board or in an engine-bay ECU without the electrolyte freezing or the seal leaking. The molded case (EIA 2917, size code X) stands 1.50 mm high — it fits under a heatsink or a mezzanine board.