The volume, Vm³, of liquid in a container is given by V = (3h² + 4) - 8, where h m is the depth of the liquid. Which of the following is/are true? Liquid is leaking from the container. It is observed that, when the depth of the liquid is 1 m, the depth is decreasing at a rate of 0.5 m per hour. The rate at which the volume of liquid in the container is decreasing at the instant when the depth is 1 m is 4.5√7. dV 6h√3h² +4. dh The value of at h = 1 m is 9√√7. Non of the above is true. d²V 9h√3h² +4. dh² = = M
The volume, Vm³, of liquid in a container is given by V = (3h² + 4) - 8, where h m is the depth of the liquid. Which of the following is/are true? Liquid is leaking from the container. It is observed that, when the depth of the liquid is 1 m, the depth is decreasing at a rate of 0.5 m per hour. The rate at which the volume of liquid in the container is decreasing at the instant when the depth is 1 m is 4.5√7. dV 6h√3h² +4. dh The value of at h = 1 m is 9√√7. Non of the above is true. d²V 9h√3h² +4. dh² = = M
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Question
![The volume,
Vm³, of liquid in a container is given by
V = (3h² + 4) ³ - 8,
where h m is the depth of the liquid. Which of the following is/are true?
Liquid is leaking from the container. It is observed that, when the depth of the liquid is 1 m, the depth
is decreasing at a rate of 0.5 m per hour. The rate at which the volume of liquid in the container
is decreasing at the instant when the depth is 1 m is 4.5√7.
dV
6h√3h² +4.
dh
dV
The value of at h = 1 mis 9√7.
Non of the above is true.
d²v
9h√3h² +4.
dh2
=
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6403950e-2148-44ce-96d8-a4938d7dc65f%2Fe393a976-103f-4265-a4e6-387adf4d2b50%2Fhz793ba_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The volume,
Vm³, of liquid in a container is given by
V = (3h² + 4) ³ - 8,
where h m is the depth of the liquid. Which of the following is/are true?
Liquid is leaking from the container. It is observed that, when the depth of the liquid is 1 m, the depth
is decreasing at a rate of 0.5 m per hour. The rate at which the volume of liquid in the container
is decreasing at the instant when the depth is 1 m is 4.5√7.
dV
6h√3h² +4.
dh
dV
The value of at h = 1 mis 9√7.
Non of the above is true.
d²v
9h√3h² +4.
dh2
=
2
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