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.) 9800x (y3-7y²+12y) dy 9800* *S* (y³-9y² + 20y) dy **(y³-11y²+28y) dy 9800€ 9800* a(-y5+ 15y4-72y³ + 112y2) dy

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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QUESTION 1
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.)
*(y-³-7y² +12y) dy
9800
**(v³-9y² + 20y) dy
9800*
on ²(y³-11y²+28y) dy
9800л
9800л
(-y5+15-4-72y³ +112y2) dy
0
Transcribed Image Text:QUESTION 1 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.) *(y-³-7y² +12y) dy 9800 **(v³-9y² + 20y) dy 9800* on ²(y³-11y²+28y) dy 9800л 9800л (-y5+15-4-72y³ +112y2) dy 0
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