The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z =4 Triple Integrals in Cartesian Coordinates Solve for the boundaries of the tetrahedron and we will keep it to cartesian coordinates. Solve for z, then set z = 0 to solve for y, then set y = 0 to solve for x. By doing so, you will be able to find the boundaries for your triple integral. Set up your triple integral and solve for your answer.

The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z =4 Triple Integrals in Cartesian Coordinates Solve for the boundaries of the tetrahedron and we will keep it to cartesian coordinates. Solve for z, then set z = 0 to solve for y, then set y = 0 to solve for x. By doing so, you will be able to find the boundaries for your triple integral. Set up your triple integral and solve for your answer.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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Triple Integrals in Cartesian Coordinates

Solve for the boundaries of the tetrahedron and we will keep it to cartesian coordinates.

Solve for z, then set z = 0 to solve for y, then set y = 0 to solve for x.

By doing so, you will be able to find the boundaries for your triple integral.

Set up your triple integral and solve for your answer.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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