P3 = (0,0, C) a) Find the equation of the plane formed by the three points. b) Find a point that lies in this plane (which is not P1, P2 or P3) c) Together with the origin, the points form a figure. This has a uniform mass density. Calculate the mass of the figure using a triple integral. d) Calculate the distance from the origin to the plane found in problem (a) e) Check the answer in problem (c) by calculating the volume with the formula
P3 = (0,0, C) a) Find the equation of the plane formed by the three points. b) Find a point that lies in this plane (which is not P1, P2 or P3) c) Together with the origin, the points form a figure. This has a uniform mass density. Calculate the mass of the figure using a triple integral. d) Calculate the distance from the origin to the plane found in problem (a) e) Check the answer in problem (c) by calculating the volume with the formula
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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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A = 1 B = 1 C = 5
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