Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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y
-4
-2
4
6
2
--
-4
-2
4
6
V 36 - x2
f(x, y) dy dx =
f(x, y) dx dy
Transcribed Image Text:y -4 -2 4 6 2 -- -4 -2 4 6 V 36 - x2 f(x, y) dy dx = f(x, y) dx dy
Sketch the region R of integration and switch the order of integration.
V 36 - x2
f(x, y) dy dx
y
4
Show
, Plot V 36 – x, (x, –6 – 1, 6 + 1, –6 – 1, 6 + 1}, PlotStyle → Directive[Black, Thick],
-6-4-20 2 4 6
-6
-4
-2
4
4-2
24
, PlotRange → (
Frame → False, Axes → True, AxesLabel → {"x", "y"}, TicksStyle → 14
y
y
Transcribed Image Text:Sketch the region R of integration and switch the order of integration. V 36 - x2 f(x, y) dy dx y 4 Show , Plot V 36 – x, (x, –6 – 1, 6 + 1, –6 – 1, 6 + 1}, PlotStyle → Directive[Black, Thick], -6-4-20 2 4 6 -6 -4 -2 4 4-2 24 , PlotRange → ( Frame → False, Axes → True, AxesLabel → {"x", "y"}, TicksStyle → 14 y y
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