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A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)

A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 2 (A) 9800л f* (y³-11y²+28y) dy 0 4 (B) 9800л =f*(y²-7y²+12y) dy 0 2 Ⓒ9800 S²(-y² + 15y4 - 72y³ + 112y²2) dy 0 4 D S* (v³-9y² + 20y) dy 0 9800л
Transcribed Image Text:A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 2 (A) 9800л f* (y³-11y²+28y) dy 0 4 (B) 9800л =f*(y²-7y²+12y) dy 0 2 Ⓒ9800 S²(-y² + 15y4 - 72y³ + 112y²2) dy 0 4 D S* (v³-9y² + 20y) dy 0 9800л
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