To find the work W required to haul the water 80 ft up the well, we start by subdividing the 80 ft interval into n equally spaced subintervals of X, = 80 Ax feet. Ax meters X-1 When Ax is very small, the weight of the water is relatively constant throughout the length of the interval. Define an expression that approximates W;, the work required to lift the a distance of Ax feet, from xi-1 to xj. By summing up all the W{s, we can approximate the work needed to haul to water from the top to the bottom of the well. Write an expression for the sum of all the W{s.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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To find the work W required to haul the water
80 ft up the well, we start by subdividing the 80
ft interval inton equally spaced subintervals of
X,= 80
Ax feet.
Ax meters
X-1
When Ax is very small, the weight of the water
is relatively constant throughout the length of
the interval.
X2
Define an expression that approximates W;, the work required to
ft the water a
distance of Ax feet, from X;-1 to x;.
By summing up all the W{s, we can approximate the work needed to haul to water from the top
to the bottom of the well.
Write an expression for the sum of all the W}s.
Transcribed Image Text:To find the work W required to haul the water 80 ft up the well, we start by subdividing the 80 ft interval inton equally spaced subintervals of X,= 80 Ax feet. Ax meters X-1 When Ax is very small, the weight of the water is relatively constant throughout the length of the interval. X2 Define an expression that approximates W;, the work required to ft the water a distance of Ax feet, from X;-1 to x;. By summing up all the W{s, we can approximate the work needed to haul to water from the top to the bottom of the well. Write an expression for the sum of all the W}s.
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