The total force on a dam of width 500 meters holding back water in a reservoir H meters deep is given by F = 2450H2 kilonewtons (kN). During a flood, the following water heights are observed in the reservoir. t(days)012345H(meters)1010.511.311.81211.7Estimate how fast the total force on the dam is increasing at t = 2 days. The total force on a dam of width 500 meters holding back water in a reservoirH meters deep is given by F = 2450H² kilonewtons (kN). During a flood, thefollowing water heights are observed in the reservoir.5001 | 2 | 3t (days)H (meters) || 10 | 10.5 | 11.3 | 11.8 | 124511.7Estimate how fast the total force on the dam is increasing at t = 2 days.

The given function that represents the total force is F=2450H2. Differentiate the given function…

Answered: Estimate how fast the total force on…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The total force on a dam of width 500 meters holding back water in a reservoir H meters deep is given by F = 2450H² kilonewtons (kN). During a flood, the following water heights are observed in the reservoir.

t(days)	0	1	2	3	4	5
H(meters)	10	10.5	11.3	11.8	12	11.7

Estimate how fast the total force on the dam is increasing at t = 2 days.

The total force on a dam of width 500 meters holding back water in a reservoir
H meters deep is given by F = 2450H² kilonewtons (kN). During a flood, the
following water heights are observed in the reservoir.
500
1 | 2 | 3
t (days)
H (meters) || 10 | 10.5 | 11.3 | 11.8 | 12
4
5
11.7
Estimate how fast the total force on the dam is increasing at t = 2 days.

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