A cable that weighs 4 lb/ft is used to lift 800 lb of coal up a mine shaft 550 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x* as x₁.) 4x x ) Ax lim nx i=1 Express the work as an integral. 550 2(550)²-0² )dx Evaluate the integral. 1045000 ft-lb

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
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A cable that weighs 4 lb/ft is used to lift 800 lb of coal up a mine shaft 550 ft deep. Find the work done.
Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x;* as x₁.)
4x
× ) Ax
lim
n→∞
n
i = 1
Express the work as an integral.
550
2(550)² - 0² × ax
Evaluate the integral.
1045000
ft-lb
Transcribed Image Text:A cable that weighs 4 lb/ft is used to lift 800 lb of coal up a mine shaft 550 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x;* as x₁.) 4x × ) Ax lim n→∞ n i = 1 Express the work as an integral. 550 2(550)² - 0² × ax Evaluate the integral. 1045000 ft-lb
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