Final answer:
An electrolytic capacitor is the type with solderless, push-on terminals, solder lugs, or screw-type terminals, known for high capacitance and specific polarity requirements.
Step-by-step explanation:
The type of capacitor that typically has solderless, push-on "male" terminals, solder lugs, or screw-type terminals at the top of the capacitor is the electrolytic capacitor. Electrolytic capacitors are known for their high capacitance relative to other common capacitors. They consist of an oxidized metal in a conducting paste and should be correctly polarized when connected in a circuit, as the wrong polarity could destroy the oxide film that is essential for its operation. These capacitors are also represented by a specific symbol in circuit diagrams, where the curved plate indicates the negative terminal.