The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) - π 5 sin -t + 6 7π 7T) + 6 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to 4 decimal places. ft/hr

The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) - π 5 sin -t + 6 7π 7T) + 6 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to 4 decimal places. ft/hr

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.

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