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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 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.

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.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
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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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