For the following exercises, complete each task. 195. Let z = f ( x , y ) = x e y . Compute Δ z from P( 1 2) to Q(1.05. 2.1) and then find the approximate change in z from point P to point Q. Recall Δ z = f ( x + Δ x , y + Δ y ) − f ( x , y ) . and dz and Δ z are approximately equal.
For the following exercises, complete each task. 195. Let z = f ( x , y ) = x e y . Compute Δ z from P( 1 2) to Q(1.05. 2.1) and then find the approximate change in z from point P to point Q. Recall Δ z = f ( x + Δ x , y + Δ y ) − f ( x , y ) . and dz and Δ z are approximately equal.
195. Let
z
=
f
(
x
,
y
)
=
x
e
y
. Compute
Δ
z
from P( 1 2) to Q(1.05. 2.1) and then find the approximate change in z from point P to point Q. Recall
Δ
z
=
f
(
x
+
Δ
x
,
y
+
Δ
y
)
−
f
(
x
,
y
)
. and dz and
Δ
z are approximately equal.
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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