Sketch the region whose area is given by the iterated integral 2 4-x2 || dydx and calculate it. Then switch the order of integration and compare the two results.

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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q2 and q3

Question 1:
Find the minimum value of the function
f(x, y, z) = x2 + y? + z2
subject to the constraint x + y +z = 1.
Question 2:
Sketch the region whose area is given by the iterated integral
2
4-x2
dydx
and calculate it. Then switch the order of integration and
compare the two results.
Question 3:
Find the average value of f (x, y) = e*+y over the region R,
where R is a triangle with vertices (0,0), (0,1), (1,1)
Transcribed Image Text:Question 1: Find the minimum value of the function f(x, y, z) = x2 + y? + z2 subject to the constraint x + y +z = 1. Question 2: Sketch the region whose area is given by the iterated integral 2 4-x2 dydx and calculate it. Then switch the order of integration and compare the two results. Question 3: Find the average value of f (x, y) = e*+y over the region R, where R is a triangle with vertices (0,0), (0,1), (1,1)
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