CALCULUS: EARLY TRANS 4TH ED W/ ACCESS
4th Edition
ISBN: 9781319309671
Author: Rogawski
Publisher: MAC HIGHER
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Chapter 13.2, Problem 36E
To determine
Find a parametrization of the tangent line,
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Find the approximation for the Green's function of the
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Transient Orifice Flow:
Water is discharged from a reservoir through a long pipe as shown. By
neglecting the change in the level of the reservoir, the transient velocity of
the water flowing from the pipe, vt), can be expressed as:
- Reservoir
v(t)
V2gh
= tanh V2gh)
Pipe
Where h is the height of the fluid in the
7-
reservoir, L is the length of the pipe, g is the
acceleration due to gravity, and t is the time
elapsed from the beginning of the flow
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Determine the helght of the fluid in the reservoir at time, t= 2.5 seconds,
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Reservoir
v(t)
V2gh
= tanh
2L
2gh
water
Pipe
Hint: Transform the equation to a
function of form: fih) = 0
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Chapter 13 Solutions
CALCULUS: EARLY TRANS 4TH ED W/ ACCESS
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