2. Given f(x,y) = 1-6x²y. a) Draw the region that is the base (or footprint) of the surface, b) Setup BOTH dydx and dxdy. c) Then solve BOTH integrals for f(x, y) = 1-6x²y over a rectangular region whose vertices are (0, -1), (2, 1), (0, 1) and (2, -1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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2. Given f(x, y) = 1 - 6x²y.
a) Draw the region that is the base (or footprint) of the surface,
b) Setup BOTH dydx and dxdy.
c) Then solve BOTH integrals for f(x, y) = 1-6x²y over a rectangular region whose
vertices are (0, -1), (2, 1), (0, 1) and (2, -1).
Transcribed Image Text:2. Given f(x, y) = 1 - 6x²y. a) Draw the region that is the base (or footprint) of the surface, b) Setup BOTH dydx and dxdy. c) Then solve BOTH integrals for f(x, y) = 1-6x²y over a rectangular region whose vertices are (0, -1), (2, 1), (0, 1) and (2, -1).
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