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A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.) A 3000√(√3-y)ydy Ⓒ 4500 / (√3-y)ydy B Ⓒ 6000√/55 (√31-1²2) dy 0 Ⓒ 9000 / (√5y-y¹) dy D

A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.) A 3000√(√3-y)ydy Ⓒ 4500 / (√3-y)ydy B Ⓒ 6000√/55 (√31-1²2) dy 0 Ⓒ 9000 / (√5y-y¹) dy D

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.) (A 3000/3³ (√3-y)ydy 0 Ⓒ 4500 / (√3-y)ydy B Ⓒ 6000√/5/ (√37-1²) dy 0 Ⓒ9000 / (√5y-y2) dy D
Transcribed Image Text:A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.) (A 3000/3³ (√3-y)ydy 0 Ⓒ 4500 / (√3-y)ydy B Ⓒ 6000√/5/ (√37-1²) dy 0 Ⓒ9000 / (√5y-y2) dy D
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