Find the arc length of the curve exactly. 
Definitions:
Provincial Agency
A government entity or organization that operates at the provincial level, with specific administrative or regulatory functions.
Duty
A moral or legal obligation; a responsibility or task required by one's position, status, or law.
Prospectus
A public document disclosing relevant information about a corporation.
Expected Performance
Refers to the anticipated fulfillment of contractual obligations by the involved parties.
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