Sketch the region of integration and write an equivalent double integral with the order of integration reversed and then evalute: ∬(x+y) dx.dy (0-3; 1-e^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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5.) Sketch the region of integration and write an equivalent double integral with the order of integration reversed and then evalute:

∬(x+y) dx.dy (0-3; 1-e^y)

bounded by y = Vx and the lines y = 2 and x = 0 about the x-axis.
4) Find the maximum and minimum values of
f(x, y, z) = x – 2y + 5z
on the sphere x2 + y? + z? = 30.
5) Sketch the region of integration and write an equivalent double integral with the order
of integration reversed and then evaluate
r3
(x + y) dx dy.
Transcribed Image Text:bounded by y = Vx and the lines y = 2 and x = 0 about the x-axis. 4) Find the maximum and minimum values of f(x, y, z) = x – 2y + 5z on the sphere x2 + y? + z? = 30. 5) Sketch the region of integration and write an equivalent double integral with the order of integration reversed and then evaluate r3 (x + y) dx dy.
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