Mathematics

Mathematics

Problem

22. Travel Time A bicyclist rides for 90 minutes, and her velocity at any time tt hours (0≤t≤1.5)(0 \leq t \leq 1.5) is given by v(t)=12−8sin⁡5tv(t)=12-8 \sin 5 t miles per hour. How far does she travel during the 90 minutes? Round your answer to the nearest hundredth.

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