In the following exercises, evaluate the triple integrals over the bounded region E = { ( x , y , z ) | ( x , y ) ∈ D , u 1 ( x , y ) x ≤ z ≤ u 2 ( x , y ) } , where D is the projection of E onto the xy —plane. 207. ∬ D ( ∫ 1 2 ( x + z ) d z ) d A . where D = { ( x , y ) | x 2 + y 2 ≤ 1 }
In the following exercises, evaluate the triple integrals over the bounded region E = { ( x , y , z ) | ( x , y ) ∈ D , u 1 ( x , y ) x ≤ z ≤ u 2 ( x , y ) } , where D is the projection of E onto the xy —plane. 207. ∬ D ( ∫ 1 2 ( x + z ) d z ) d A . where D = { ( x , y ) | x 2 + y 2 ≤ 1 }
In the following exercises, evaluate the triple integrals over the bounded region
E
=
{
(
x
,
y
,
z
)
|
(
x
,
y
)
∈
D
,
u
1
(
x
,
y
)
x
≤
z
≤
u
2
(
x
,
y
)
}
,
where D is the projection of E onto the xy —plane.
207.
∬
D
(
∫
1
2
(
x
+
z
)
d
z
)
d
A
.
where
D
=
{
(
x
,
y
)
|
x
2
+
y
2
≤
1
}
3. Let
f(z) =
sin (22) + cos (T2)
2(22+1)(z+1)
Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown
below.
Don't use any Al tool
Don't send the same
previous answer that
was Al generated
L
10
-c
x
show ur answer
pe
n and paper then take
Send ur answer in pe
n and paper don't rep
uted ur self down
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
4.- A beer at an unknown temperature is introduced into a refrigerator that has a constant temperature of 1°C. After 20 minutes, the temperature of the beer is 10°C, and after 40 minutes, the temperature of the beer is 6°C.
a) Determine the temperature at which the beer was placed inside the refrigerator.b) How long will it take for the beer to reach 2°C?
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
5.- It is known that the population of a certain community increases at a rate proportional to the number of people at any given moment. If the population doubled in 5 years:
a) How long will it take to triple?b) How long will it take to quadruple?
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