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.) Ⓒ 4500 / (√5-y) ydy A 0 Ⓒ 6000/3³ (√3y-y²) dy B 0 1 Ⓒ9000 (√3y-y²) dy 0 Ⓒ 3000√3³ (√3-y)ydy (D) 0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.4: Vectors And Dot Products
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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.)
Ⓒ 4500 / (√3-y)ydy
A
0
Ⓒ 6000/3³ (√3y-y²) dy
B
0
1
Ⓒ9000 (√3y-y²) dy
0
(D) 3000√3
0
(√3-y)ydy
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.) Ⓒ 4500 / (√3-y)ydy A 0 Ⓒ 6000/3³ (√3y-y²) dy B 0 1 Ⓒ9000 (√3y-y²) dy 0 (D) 3000√3 0 (√3-y)ydy
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