3. (a) You are given the iterated integral 5 L +3 f(x, y) dydx. Sketch the domain of integration of this iterated integral (your sketch should be drawn by yourself not by some software) and rewrite it as an iterated integral in the reverse order (that is, with inner integral with respect to x and outer integral with respect to y). (b) Let P be the parallelogram in R² with vertices (0,0), (1,2), (5,-2), and (6,0). Calculate the double integral LL (y - 2x) dA.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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3.
(a) You are given the iterated integral
5
L
+3
f(x, y) dydx.
Sketch the domain of integration of this iterated integral (your sketch should be drawn
by yourself not by some software) and rewrite it as an iterated integral in the reverse
order (that is, with inner integral with respect to x and outer integral with respect to y).
(b) Let P be the parallelogram in R² with vertices (0,0), (1,2), (5,-2), and (6,0). Calculate
the double integral
LL
(y - 2x) dA.
Transcribed Image Text:3. (a) You are given the iterated integral 5 L +3 f(x, y) dydx. Sketch the domain of integration of this iterated integral (your sketch should be drawn by yourself not by some software) and rewrite it as an iterated integral in the reverse order (that is, with inner integral with respect to x and outer integral with respect to y). (b) Let P be the parallelogram in R² with vertices (0,0), (1,2), (5,-2), and (6,0). Calculate the double integral LL (y - 2x) dA.
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