Find the surface area of the part of the surface z = x² + 3y that lies above the triangular region T in the xy-plane with the vertices (0, 0), (1, 0), and (1, 4). Give your answer in 2 decimal places. You have to use the following formula: dz A (S) = || dz + dy 1+ dA dx

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 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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Find the surface area of the part of the surface z =
x? + 3y
that lies above the triangular region T in the xy-plane with the vertices (0, 0), (1, 0), and (1, 4).
Give your answer in 2 decimal places.
You have to use the following formula:
2
dz
2
dz
A (S) = ||
1+
dA
T
Transcribed Image Text:Find the surface area of the part of the surface z = x? + 3y that lies above the triangular region T in the xy-plane with the vertices (0, 0), (1, 0), and (1, 4). Give your answer in 2 decimal places. You have to use the following formula: 2 dz 2 dz A (S) = || 1+ dA T
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