On a piece of paper, sketch this square. Set up double integrals to compute the area of this region in two different ways: T=b y=g(x) Area dy da y=f(x) where a = , 6 = f(x) = %3D and 9(x) = リ-b Area : dx dy y=a Jェ=f(y) where a = b = f(y) and g(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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 11CR
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Consider the region in the xy plane bounded above by the parabola y= 25-x2 below by the x axis and on the left by the y axis 

On a piece of paper, sketch this square.
Set up double integrals to compute the area of this region in two different ways:
T=b
y=g(x)
Area
dy da
y=f(x)
where a =
, 6 =
f(x) =
%3D
and
9(x) =
リ-b
Area :
dx dy
y=a
Jェ=f(y)
where a =
b =
f(y)
and
g(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.
Transcribed Image Text:On a piece of paper, sketch this square. Set up double integrals to compute the area of this region in two different ways: T=b y=g(x) Area dy da y=f(x) where a = , 6 = f(x) = %3D and 9(x) = リ-b Area : dx dy y=a Jェ=f(y) where a = b = f(y) and g(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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,