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.) 4 Ⓒ 9000 / (√3y-y²) dy A 0 √√3 B 3000√3 (√3-y)ydy 0 (c) 6000√/35 (√3y-y2) dy 0 Ⓒ +500 / (√5-3)ydy 0

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 9000 (√3y-y²) d
dy
0
B
3000/3³ (√3-y)ydy
0
Ⓒ 6000/35 (√3y-y²2) dy
C
0
D
4500
of (√3-y)ydy
0
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 9000 (√3y-y²) d dy 0 B 3000/3³ (√3-y)ydy 0 Ⓒ 6000/35 (√3y-y²2) dy C 0 D 4500 of (√3-y)ydy 0
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