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4. [-/4 Points] DETAILS MY NOTES SESSCALCET2 7.6.009.MI. A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 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. n lim Ax n→∞ i = 1 Express the work as an integral. Evaluate the integral. ft-lb dx (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. n lim Σ n→∞o i = 1 )AX Express the work as an integral. Evaluate the integral. ft-lb dx A

4. [-/4 Points] DETAILS MY NOTES SESSCALCET2 7.6.009.MI. A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 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. n lim Ax n→∞ i = 1 Express the work as an integral. Evaluate the integral. ft-lb dx (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. n lim Σ n→∞o i = 1 )AX Express the work as an integral. Evaluate the integral. ft-lb dx A

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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question 4 a and b

4. [-/4 Points] DETAILS MY NOTES SESSCALCET2 7.6.009.MI. A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 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. n lim Ax n→∞ i = 1 Express the work as an integral. Evaluate the integral. ft-lb dx (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. n lim Σ n→∞o i = 1 )AX Express the work as an integral. Evaluate the integral. ft-lb dx A
Transcribed Image Text:4. [-/4 Points] DETAILS MY NOTES SESSCALCET2 7.6.009.MI. A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 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. n lim Ax n→∞ i = 1 Express the work as an integral. Evaluate the integral. ft-lb dx (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. n lim Σ n→∞o i = 1 )AX Express the work as an integral. Evaluate the integral. ft-lb dx A
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