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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).

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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Problem 2 **Given \( f(x,y) = 1 - 6x^2y \):** a) **Draw the region that is the base (or footprint) of the surface.** b) **Setup BOTH \(\int \int dy \, dx\) and \(\int \int dx \, dy\).** c) **Then solve BOTH integrals for \( f(x,y) = 1 - 6x^2y \) over a rectangular region whose vertices are \( (0, -1), (2, 1), (0, 1) \) and \( (2, -1) \).**
Transcribed Image Text:### Problem 2 **Given \( f(x,y) = 1 - 6x^2y \):** a) **Draw the region that is the base (or footprint) of the surface.** b) **Setup BOTH \(\int \int dy \, dx\) and \(\int \int dx \, dy\).** c) **Then solve BOTH integrals for \( f(x,y) = 1 - 6x^2y \) over a rectangular region whose vertices are \( (0, -1), (2, 1), (0, 1) \) and \( (2, -1) \).**
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