1. in a way that is urgent, necessary, or demanding; with pressing importance
2. in the manner of a command or order; authoritatively

Examples

• It is imperatively important that you submit your application before the deadline.
• The situation imperatively demands immediate action from the government.
• She spoke imperatively, leaving no room for disagreement.
• The rules imperatively require all students to wear uniforms.
• He gestured imperatively toward the door, signaling us to leave.
• Climate change imperatively calls for global cooperation.