f(x, y) = x²x² and let R be the triangle bounded by the lines x = 5, x = y/2, and y = x in the xy-plane. R (a) Express / 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.) √r f dA = fb fª f(x, y) d y where a = 0 d = 2x And f f dA=ffd f(x, y) d where a = , m = and q = d x ,b= 5 , b = 2 , n = , C = X + Smf f(x, y) d (b) Evaluate one of your integrals to find the value of f f dA. JR f dA= , C = , p = 1 and , d =
f(x, y) = x²x² and let R be the triangle bounded by the lines x = 5, x = y/2, and y = x in the xy-plane. R (a) Express / 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.) √r f dA = fb fª f(x, y) d y where a = 0 d = 2x And f f dA=ffd f(x, y) d where a = , m = and q = d x ,b= 5 , b = 2 , n = , C = X + Smf f(x, y) d (b) Evaluate one of your integrals to find the value of f f dA. JR f dA= , C = , p = 1 and , d =
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
Related questions
Question
100%
![f(x, y) = x²ex² and let R be the triangle bounded by the lines x = 5, x = y/2, and y = x
in the xy-plane.
R
(a) Express f 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.)
fRf dA = få fd f(x,y) d y
where a = 0
d =
2x
And f f dA = √₂ fª f(x, y) d
R
where a =
, m =
and q =
, b =
, b =
d x
5
d
n =
+ fm f f(x,y) d
(b) Evaluate one of your integrals to find the value of ff dA.
√ Rf dA =
C = X
"
C =
, p =
d
and
d =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ee46fbe-dc71-4a56-bc58-37c83c920656%2Fff1151d7-02c6-4b73-a135-31be72926ae0%2F8k3ryuc_processed.png&w=3840&q=75)
Transcribed Image Text:f(x, y) = x²ex² and let R be the triangle bounded by the lines x = 5, x = y/2, and y = x
in the xy-plane.
R
(a) Express f 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.)
fRf dA = få fd f(x,y) d y
where a = 0
d =
2x
And f f dA = √₂ fª f(x, y) d
R
where a =
, m =
and q =
, b =
, b =
d x
5
d
n =
+ fm f f(x,y) d
(b) Evaluate one of your integrals to find the value of ff dA.
√ Rf dA =
C = X
"
C =
, p =
d
and
d =
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