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, 6). Give your answer in 2 decimal places. You have to use the following formula: dz 1+ dz + dy A (S) = dA T

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
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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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, 6).
Give your answer in 2 decimal places.
You have to use the following formula:
2
dz
1+
dz
A (S) =
+
dA
dy
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, 6). Give your answer in 2 decimal places. You have to use the following formula: 2 dz 1+ dz A (S) = + dA dy T
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