Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error s0.1 using Bisection method. Use initial guess of 0 and R. (a) Note: V 10 m', R=2 m By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, = R. (b)
Determine the depth h to be filled to, so that the tank can hold V m'. Stop your calculation when the error s0.1 using Bisection method. Use initial guess of 0 and R. (a) Note: V 10 m', R=2 m By using the same stopping condition as in part(a), analyze whether Newton Raphson method is more suited that Bisection method for this problem. Initial guess h, = R. (b)
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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Pls do it ASAP and correctly upto four decimal plces
Transcribed Image Text:Determine the depth h to be filled to, so that the tank can hold V m'. Stop your
calculation when the error <0.1 using Bisection method. Use initial guess of 0 and R.
(a)
Note:
V
10 m, R =2 m
By using the same stopping condition as in part(a), analyze whether Newton Raphson
method is more suited that Bisection method for this problem. Initial guess h, = R.
(b)
![You are designing a spherical tank (Fig. P5.17) to hold
water for a small village in a developing country. The
volume of liquid it can hold can be computed as
[3R – h]
V = nh²
where V = volume [m³], h = depth of water in tank [m],
%3D
and R = the tank radius [m].
R
|h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0526fda2-3cab-4325-aab7-d62fa74eeb10%2F288817aa-eb63-4857-bd77-fba008a7b3a4%2F95prtj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are designing a spherical tank (Fig. P5.17) to hold
water for a small village in a developing country. The
volume of liquid it can hold can be computed as
[3R – h]
V = nh²
where V = volume [m³], h = depth of water in tank [m],
%3D
and R = the tank radius [m].
R
|h
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