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…

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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Differential Equations

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Question

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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