Set up double integrals to compute the area of this region in two different ways. One order of integration requires only 1 double integral, while the other requires 2 double integrals. With a single double integral: 9. Area = (Enter either "dx dy" or "dy dx".) where a = %3| , and d = (You may find it helpful to write x= something or y= something in your own work, but leave that part out of the answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or "2x+3".) With two double integrals: d. Area (Enter either "dx dy" or "dy dx" in each %D e box. Set up the integrals so that a is less than e.) where a = ,C= d = e = f = and h %3D (You may find it helpful to write x= something or y= something in your own work, but leave that part out of the answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or "2x+3".) Compute the area both ways. What do you get? Area is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Consider the region in the xy plane bounded above by the parabola y=25-x2 and below by the line y=x+5

Set up double integrals to compute the area of this region in two different ways. One order of integration
requires only 1 double integral, while the other requires 2 double integrals.
With a single double integral:
9.
Area =
(Enter either "dx dy" or "dy dx".)
where a =
%3|
, and d =
(You may find it helpful to write x= something or y= something in your own work, but leave that part out of the
answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or
"2x+3".)
With two double integrals:
d.
Area
(Enter either "dx dy" or "dy dx" in each
%D
e
box. Set up the integrals so that a is less than e.)
where a =
,C=
d =
e =
f =
and h
%3D
(You may find it helpful to write x= something or y= something in your own work, but leave that part out of the
answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or
"2x+3".)
Compute the area both ways. What do you get?
Area is
Transcribed Image Text:Set up double integrals to compute the area of this region in two different ways. One order of integration requires only 1 double integral, while the other requires 2 double integrals. With a single double integral: 9. Area = (Enter either "dx dy" or "dy dx".) where a = %3| , and d = (You may find it helpful to write x= something or y= something in your own work, but leave that part out of the answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or "2x+3".) With two double integrals: d. Area (Enter either "dx dy" or "dy dx" in each %D e box. Set up the integrals so that a is less than e.) where a = ,C= d = e = f = and h %3D (You may find it helpful to write x= something or y= something in your own work, but leave that part out of the answers you submit to Webwork. Put a single number or function in each answer blank, e.g., "5" or "0" or "2x+3".) Compute the area both ways. What do you get? Area is
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