Let f(x, y) = x²e²² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express ff dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) SR fdA= f f f(x,y) d where a = And fRf dA= f f f(x,y) d +SmS f(x,y) d d where a = ,C= m= ,b= ,p= ,b= d d , and d = ,d= ,n= , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=
Let f(x, y) = x²e²² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express ff dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) SR fdA= f f f(x,y) d where a = And fRf dA= f f f(x,y) d +SmS f(x,y) d d where a = ,C= m= ,b= ,p= ,b= d d , and d = ,d= ,n= , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=
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
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![Let f(x, y) = x²e² and let R be the
triangle bounded by the lines x = 4, x = y/2, and
y = x in the xy-plane.
(a) Express SR f dA as a double integral in two
different ways by filling in the values for the integrals
below. (For one of these it will be necessary to write
the double integral as a sum of two integrals, as
indicated; for the other, it can be written as a single
integral.)
JRf dA= f f f(x,y) d
where a =
, C =
,C=
And fRf dA= f f f(x, y) d
+ Sm Sp f(x,y) d
d
where a =
1
m =
,b=
,p=
=
,b=
d
d
and d =
,d=
n =
, and q =
(b) Evaluate one of your integrals to find the value of
SR f dA.
SR f dA=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F893657f7-8c9a-4718-b8b4-fc033abceedb%2Fc78d7b74-f070-41dc-be8a-3b2969b674a4%2F0f9a3j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x, y) = x²e² and let R be the
triangle bounded by the lines x = 4, x = y/2, and
y = x in the xy-plane.
(a) Express SR f dA as a double integral in two
different ways by filling in the values for the integrals
below. (For one of these it will be necessary to write
the double integral as a sum of two integrals, as
indicated; for the other, it can be written as a single
integral.)
JRf dA= f f f(x,y) d
where a =
, C =
,C=
And fRf dA= f f f(x, y) d
+ Sm Sp f(x,y) d
d
where a =
1
m =
,b=
,p=
=
,b=
d
d
and d =
,d=
n =
, and q =
(b) Evaluate one of your integrals to find the value of
SR f dA.
SR f dA=
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