(b) A system which is represented by the given equation below, is able to work effectively even when the time is zero. f(t) = 7t3 – 0.31t2 + Iat - cos t Id=0.2222 However, there will be a time where the system is put on resting mode for several seconds. (i) Find the derivative of f(t). (ii) By using Newton-Raphson Method, select the approximate resting time in between the interval [1 2] seconds with the absolute system function tolerance is less than 0.0005 or until 4th iteration. Choose to = 1 second.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Numerical method

Q4 The analysis of the voltage, V for the circuit given in Figure Q4 can be expressed in the
following three equations:
R1 (i, – iz) + R2(i, - i3) = V, la
Id=0.2222
Rziz + R4(iz – i3) + R (iz – i) = Vzla
Rgiz + R4(iz – iz) + R2(iz – i1) = V3la
where R is the resistance and i is the current. Analyze the system of linear equations above
for i,, iz, and iz by using Gauss elimination method with pivoting.
V1
oV
R2
100
R1
200
V3
2001V
V2
R4
OV
100
R5
300
R3
250
Figure Q4
Transcribed Image Text:Q4 The analysis of the voltage, V for the circuit given in Figure Q4 can be expressed in the following three equations: R1 (i, – iz) + R2(i, - i3) = V, la Id=0.2222 Rziz + R4(iz – i3) + R (iz – i) = Vzla Rgiz + R4(iz – iz) + R2(iz – i1) = V3la where R is the resistance and i is the current. Analyze the system of linear equations above for i,, iz, and iz by using Gauss elimination method with pivoting. V1 oV R2 100 R1 200 V3 2001V V2 R4 OV 100 R5 300 R3 250 Figure Q4
(b) A system which is represented by the given equation below, is able to work effectively
even when the time is zero.
f(t) = 7t3 – 0.31t2 + lat - cos t
Id=0.2222
However, there will be a time where the system is put on resting mode for several
seconds.
(i)
Find the derivative of f(t).
(ii) By using Newton-Raphson Method, select the approximate resting time in
between the interval [1 2] seconds with the absolute system function tolerance is
less than 0.0005 or until 4th iteration. Choose to = 1 second.
Transcribed Image Text:(b) A system which is represented by the given equation below, is able to work effectively even when the time is zero. f(t) = 7t3 – 0.31t2 + lat - cos t Id=0.2222 However, there will be a time where the system is put on resting mode for several seconds. (i) Find the derivative of f(t). (ii) By using Newton-Raphson Method, select the approximate resting time in between the interval [1 2] seconds with the absolute system function tolerance is less than 0.0005 or until 4th iteration. Choose to = 1 second.
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