Find the volume of the tetrahedron bounded by the planes x + 2y + z = 2, x = 2y, x = 0, andz = 0

Question

Find the volume of the tetrahedron bounded by the planes x + 2y + z = 2, x = 2y, x = 0, andz = 0
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Solution 1

To find the volume of the tetrahedron, we first need to find the coordinates of the vertices where the planes intersect.

  1. Intersection of planes x + 2y + z = 2, x = 2y, and x = 0: Substituting x = 0 in the first two equations, we get: 0 + 2y + z = 2 and 0 = 2y Solving these, we get y = 0 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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