Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = z in the zy- 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.) fRfdA=fff(z,y) dy dx where a 0 bm 5 3x And ff dA=fff(z,y) d where a = m = + f(x,y) d .cm n= C=X and q (b) Evaluate one of your integrals to find the value of ff dA. SRfdA- and dm
Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = z in the zy- 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.) fRfdA=fff(z,y) dy dx where a 0 bm 5 3x And ff dA=fff(z,y) d where a = m = + f(x,y) d .cm n= C=X and q (b) Evaluate one of your integrals to find the value of ff dA. SRfdA- and dm
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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![Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = x in the zy-
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.)
fRfdA=fff(z,y) dy dx
where a = 0
b= 5
3x
And fRfdA=fff(z,y) d
where a =
.771
and q ==
,b=
d
+ f(x,y) d
.cm
n=
C= X
(b) Evaluate one of your integrals to find the value of f f dA.
SRfdA
d
p=
and d=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F913f25bd-b2eb-4e87-8f80-5ec552fc3aee%2F6f44e69e-9ace-4a87-9a65-1ed3f587c6a4%2Fmbkxf6.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = x in the zy-
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.)
fRfdA=fff(z,y) dy dx
where a = 0
b= 5
3x
And fRfdA=fff(z,y) d
where a =
.771
and q ==
,b=
d
+ f(x,y) d
.cm
n=
C= X
(b) Evaluate one of your integrals to find the value of f f dA.
SRfdA
d
p=
and d=
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