Can you explain how we get for the red lines: x = a-z , z = a-y , z = 4-x-y, y = a -x and show what is the plane a-x-y-z = 0 since I do not understand it, and how I find the limits of integration x = a-zbax=0fLine integration in y direction.Se-x-² dy0Area integration in the z direction»z=a_x_py=0-x-z dzZ=0NaZ=0y=0Volume integration in the x directionS****-**-*-*dy dz dxy=0z = a-yThree red lines create a plane and the equations of plane can be written as a-x-y-z=0equations of each lines are marked. Blue color triangle is a section inside the tetrahedron. Green color EFline is inside the triangle BCD.Integration stepsy = a-x1. Integrate line EF (From e to f) (to get the line in 'y' direction)2. Integrate line EF inside the triangle bcd (From c to b) (to get the area in the 'z' direction)3. Integrate area bcd along the 'x' direction to get the volumez = 4-x-ya

To set up the volume integration for a tetrahedron defined by the planes x = a - z, z = a - y, z = 4…

Answered: an you explain how we get for the red…

an you explain how we get for the red lines: x = a-z , z = a-y , z = 4-x-y, y = a -x and show what is the plane a-x-y-z = 0 since I do not understand it, and how I find the limits of integration

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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