P = (A, 0,0) %3D P2 = (0, B,0) 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
P = (A, 0,0) %3D P2 = (0, B,0) 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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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handwritten solution please for part c d e
![P = (A,0, 0)
P2 = (0, B,0)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff51bec3a-2485-4f5d-9267-17a2270308c8%2Fc25536a1-323d-477a-9a7d-6b045183157c%2Fesag4i_processed.png&w=3840&q=75)
Transcribed Image Text:P = (A,0, 0)
P2 = (0, B,0)
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
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