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The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

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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EXAMPLE The volume enclosed by the cylinders z= 5- x,:= 4x and the planes y=0, x + y =1. Solution z = 5 - x ..(1) z = 4x .(2) > x= F1 5-X²=4 X? x = F1 5-X²-4 X²=0 5( 1-X³)=0 5-5X²=0 1-x 5-x² S S Sdz dy dx V = I- 4x |5-x 1-x dy dx %3| 1 1-x - 5x ) dy dx -1 0 A detailed explaņation, please in boring detail, thank'you. |1-x *)y dx -1 = 5[(1-x' )(1–x )dx = 5[(1-x-x² + x* ) x -1 2 3 4 20 3
Transcribed Image Text:EXAMPLE The volume enclosed by the cylinders z= 5- x,:= 4x and the planes y=0, x + y =1. Solution z = 5 - x ..(1) z = 4x .(2) > x= F1 5-X²=4 X? x = F1 5-X²-4 X²=0 5( 1-X³)=0 5-5X²=0 1-x 5-x² S S Sdz dy dx V = I- 4x |5-x 1-x dy dx %3| 1 1-x - 5x ) dy dx -1 0 A detailed explaņation, please in boring detail, thank'you. |1-x *)y dx -1 = 5[(1-x' )(1–x )dx = 5[(1-x-x² + x* ) x -1 2 3 4 20 3
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