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,...


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P = (A,0, 0)<br>P2 = (0, B,0)<br>P3 = (0,0, C)<br>a) Find the equation of the plane formed by the three points.<br>b) Find a point that lies in this plane (which is not P1, P2 or P3)<br>c) Together with the origin, the points form a figure. This has a uniform mass density. Calculate the<br>mass of the figure using a triple integral.<br>d) Calculate the distance from the origin to the plane found in problem (a)<br>e) Check the answer in problem (c) by calculating the volume with the formula<br>

Extracted 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

Jun 05, 2022
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