38. When air expands adiabatically (without gaining or losing zi heat), its pressure P and volume V are related by the equa- tion PV1.4 C, where C is a constant. Suppose that at a certain instant the volume is 400 cm³ and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min. At what hear rate is the volume increasing at this instant? =
38. When air expands adiabatically (without gaining or losing zi heat), its pressure P and volume V are related by the equa- tion PV1.4 C, where C is a constant. Suppose that at a certain instant the volume is 400 cm³ and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min. At what hear rate is the volume increasing at this instant? =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
question 38
![out area as a function of r.
36. A faucet is filling a hemispherical basin of diameter 60 cm
with water at a rate of 2 L/min. Find the rate at which the
water is rising in the basin when it is half full. [Use the
following facts: 1 L is 1000 cm³. The volume of the portion
of a sphere with radius r from the bottom to a height h is
V = π (rh²h³), as we will show in Chapter 5.]
T
37. Boyle's Law states that when a sample of gas is compressed
at a constant temperature, the pressure P and volume V
satisfy the equation PV = C, where C is a constant. Sup-
pose that at a certain instant the volume is 600 cm³, the
pressure is 150 kPa, and the pressure is increasing at a rate
of 20 kPa/min. At what rate is the volume decreasing at this
instant?
sond sn
moitamixorqqs sail insgnet
38. When air expands adiabatically (without gaining or losing
heat), its pressure P and volume V are related by the equa-
tion PV1.4 = C, where C is a constant. Suppose that at
a certain instant the volume is 400 cm³ and the pressure is
80 kPa and is decreasing at a rate of 10 kPa/min. At what
rate is the volume increasing at this instant?
39. If two resistors with resistances R₁ and R₂ are connected in
parallel, as in the figure, then the total resistance R, mea-
sured in ohms (), is given by
Sau ba
1 1 1
+ bord
R R₁ R₂
312 20.A
If R₁ and R₂ are increasing at rates of 0.3
respectively, how fast is R changing
when
100 Ω?
R₂
=
sw Smoitse
ww
Paris
R₁
bns 80.8
/s and 0.2 0/s,
= 80 and
R₁
ww
R₂
43.
(1) bre
44
noitesi
45
4
47](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F613af2f8-f901-4d4b-81fe-790ed0ca6df6%2F137e8fbf-33b6-4b48-96a1-1b51f1bd4567%2Fln5ulpj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:out area as a function of r.
36. A faucet is filling a hemispherical basin of diameter 60 cm
with water at a rate of 2 L/min. Find the rate at which the
water is rising in the basin when it is half full. [Use the
following facts: 1 L is 1000 cm³. The volume of the portion
of a sphere with radius r from the bottom to a height h is
V = π (rh²h³), as we will show in Chapter 5.]
T
37. Boyle's Law states that when a sample of gas is compressed
at a constant temperature, the pressure P and volume V
satisfy the equation PV = C, where C is a constant. Sup-
pose that at a certain instant the volume is 600 cm³, the
pressure is 150 kPa, and the pressure is increasing at a rate
of 20 kPa/min. At what rate is the volume decreasing at this
instant?
sond sn
moitamixorqqs sail insgnet
38. When air expands adiabatically (without gaining or losing
heat), its pressure P and volume V are related by the equa-
tion PV1.4 = C, where C is a constant. Suppose that at
a certain instant the volume is 400 cm³ and the pressure is
80 kPa and is decreasing at a rate of 10 kPa/min. At what
rate is the volume increasing at this instant?
39. If two resistors with resistances R₁ and R₂ are connected in
parallel, as in the figure, then the total resistance R, mea-
sured in ohms (), is given by
Sau ba
1 1 1
+ bord
R R₁ R₂
312 20.A
If R₁ and R₂ are increasing at rates of 0.3
respectively, how fast is R changing
when
100 Ω?
R₂
=
sw Smoitse
ww
Paris
R₁
bns 80.8
/s and 0.2 0/s,
= 80 and
R₁
ww
R₂
43.
(1) bre
44
noitesi
45
4
47
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