MathCastle
CalculusEasy

Calculus · Easy problem

The height of the tide tt hours after low tide is h(t)=5+3sin⁡ ⁣(πt6)h(t)=5+3\sin\!\left(\dfrac{\pi t}{6}\right) meters. A boat may only enter the harbor while the tide is rising at exactly π4\dfrac{\pi}{4} meters per hour. Find the first time t>0t>0 at which this occurs.

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