- Transistors (A) use a battery with an anode of Zn/Hg and a cathode of HgO + C.
- Hearing aids (B) use a battery with an anode of Zn and a cathode of Carbon.
- Inverters (C) use a hydrogen fuel cell as the energy source.
- Apollo space ship (D) uses a battery with an anode of Pb and a cathode of PbO\(_2\).
Therefore, the correct matching is \( \boxed{(A)-(III), (B)-(I), (C)-(IV), (D)-(II)} \).
If \[ f(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dx, \quad f(0) = -6 \], then f(1) is equal to: