Let R be the region bounded by ry = 1, ry = 4, y= 2, y = 10 in R. Compute the value of cos(ry) dA by using the transformation: 5. T(u, v) = (r(u, e), y(u, ")) := ( 2u) (You must use the transformation, including drawing the region D in the uv-plane which maps T(D) = R and the Jacobian, fr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Plz solve correctly i attached the pictur thave t u solve where u use the limit xy=1,xy=4 and the limit of y? I am confused kindly gave me a correct Soloutions.
iet R be the region bounded by ry = 1, ry = 4, y = 2, y = 10 in R2. Compute the
value of cos(ry) dA by using the transformation:
T(u, v) = (r(u, v), y(u, ")) := (. 2u)
(You must use the transformation, including drawing the region D in the uv-plane which maps
T(D) = R and the Jacobian, fr
Transcribed Image Text:iet R be the region bounded by ry = 1, ry = 4, y = 2, y = 10 in R2. Compute the value of cos(ry) dA by using the transformation: T(u, v) = (r(u, v), y(u, ")) := (. 2u) (You must use the transformation, including drawing the region D in the uv-plane which maps T(D) = R and the Jacobian, fr
ullTelenor .
7:48 am
73%
b)
he ve
evalua e
the integsel
we
to
JJ ?cos (ry) d A
R
T(uie) =
2.
2.
-
where
3L0s 12
12
I =
(불) dud u.
coo
3
12
U42
(쓸) dn du
u Cof
3
12
3
* (24) ( 3 sin (4) - 3sing)
48 ( siny - sins)
?
VX
Transcribed Image Text:ullTelenor . 7:48 am 73% b) he ve evalua e the integsel we to JJ ?cos (ry) d A R T(uie) = 2. 2. - where 3L0s 12 12 I = (불) dud u. coo 3 12 U42 (쓸) dn du u Cof 3 12 3 * (24) ( 3 sin (4) - 3sing) 48 ( siny - sins) ? VX
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