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 The value of at h = 1 mis 9√7. dh Non of the above is true. d²V = 9h√3h² +4. dh2 = 2
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 The value of at h = 1 mis 9√7. dh Non of the above is true. d²V = 9h√3h² +4. dh2 = 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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