A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁ A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 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 n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? 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 n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb

A spring has natural length 22 cm. Compare the work (in J) W1 done in stretching the spring from 22 cm to 32 cm with the work (in J) W₂ done in stretching it from 32 cm to 42 cm. (Use k for the spring constant.) 0.027 W1 J W₂ = 0.037 ] How are W2 and W₁ related? W₂=(2 W₁ A heavy rope, 40 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 90 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 n→∞ 3: i = 1 ( 0.5 xi Express the work as an integral. Ax 40 0.5x Evaluate the integral. 400 ft-lb dx (b) How much work W is done in pulling half the rope to the top of the building? 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 n→∞ Σ 0.5 (40-xi) Express the work as an integral. 20 Ax (1 0.5 (40-x) dx Evaluate the integral. 300 ft-lb

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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