Consider a surface S, which is described by z=−6⋅y−6⋅x+12, with x≥0, y≥0. a) The area of surface S can be written as: ∬S dS=∬R ? where R is the projection of S in the x-y plane. (b) Evaluate the area of the surface S :
Consider a surface S, which is described by z=−6⋅y−6⋅x+12, with x≥0, y≥0. a) The area of surface S can be written as: ∬S dS=∬R ? where R is the projection of S in the x-y plane. (b) Evaluate the area of the surface S :
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 36E: Find the area of ABC In Exercise 35, but assume that C is the reflection of B across the y-axis.
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Consider a surface S, which is described by z=−6⋅y−6⋅x+12, with x≥0, y≥0.
a) The area of surface S can be written as:
∬S dS=∬R ?
where R is the projection of S in the x-y plane.
(b) Evaluate the area of the surface S :
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