na piece of paper, sketch this square. et up double integrals to compute the area of this region in two different ways: y=g(x) rea = dy dx y=f(x) nere a = ,b = , f(z) = %3D and a) = y=b rea = dx dy here a = ,b%3= , f(y) = %3D and (y) %3D Compute both double integrals. What do you get? Area is Check that this is the same area as high-school geometry tells you it should be.
na piece of paper, sketch this square. et up double integrals to compute the area of this region in two different ways: y=g(x) rea = dy dx y=f(x) nere a = ,b = , f(z) = %3D and a) = y=b rea = dx dy here a = ,b%3= , f(y) = %3D and (y) %3D Compute both double integrals. What do you get? Area is Check that this is the same area as high-school geometry tells you it should be.
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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Question
Consider the square in the xy plane with vertices at (3,3) , (3,6), (6,3), and (6,6)
![na piece of paper, sketch this square.
et up double integrals to compute the area of this region in two different ways:
y=g(x)
rea =
dy dx
y=f(x)
nere a =
,b =
, f(z) =
%3D
and
a) =
y=b
rea =
dx dy
here a =
,b%3=
, f(y) =
%3D
and
(y)
%3D
Compute both double integrals. What do you get?
Area is
Check that this is the same area as high-school geometry tells you it should be.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19dfe783-6e92-4e1a-a73b-268c88566ed2%2F60c57b6a-665f-4b4d-b17b-7e8e5a267f92%2F58liqce.jpeg&w=3840&q=75)
Transcribed Image Text:na piece of paper, sketch this square.
et up double integrals to compute the area of this region in two different ways:
y=g(x)
rea =
dy dx
y=f(x)
nere a =
,b =
, f(z) =
%3D
and
a) =
y=b
rea =
dx dy
here a =
,b%3=
, f(y) =
%3D
and
(y)
%3D
Compute both double integrals. What do you get?
Area is
Check that this is the same area as high-school geometry tells you it should be.
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