A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x,.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x;.)
(a) How much work W is done in pulling the rope to the top of the building?
Show how to approximate the required work by a Riemann sum.
lim
Ax
n- 00
i = 1
Express the work as an integral.
dx
Evaluate the integral.
ft-lb
(b) How much work W is done in pulling half the rope to the top of the building?
Show how to approximate the required work by a Riemann sum.
lim
Ax
n - 00
i = 1
Express the work as an integral.
dx
Evaluate the integral.
ft-lb
Transcribed Image Text:A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim Ax n- 00 i = 1 Express the work as an integral. dx Evaluate the integral. ft-lb (b) How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim Ax n - 00 i = 1 Express the work as an integral. dx Evaluate the integral. ft-lb
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