(b) A military radar identified an unknown object flying above the Andaman sea. The Radar Intercept Officer (RIO) justified that this unknown flying object follows a motion equation, s(t)=sint +60³ wheres s in meter and in second. Analyze whether the 3-point central difference has higher accuracy in approximating the velocity of the unknown flying object at 22 second, comparing to 2-point forward difference and 2-point backward difference. Use small increment, h-103

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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Solve part B only don"t solve part A  and plase solve quickly 

(b)
A military radar identified an unknown object flying above the Andaman sea. The
Radar Intercept Officer (RIO) justified that this unknown flying object follows a
motion equation, s(t)= sint +603 wheres s in meter and in second.
Analyze whether the 3-point central difference has higher accuracy in approximating
the velocity of the unknown flying object at 22 second, comparing to 2-point forward
difference and 2-point backward difference. Use small increment, h-103
Transcribed Image Text:(b) A military radar identified an unknown object flying above the Andaman sea. The Radar Intercept Officer (RIO) justified that this unknown flying object follows a motion equation, s(t)= sint +603 wheres s in meter and in second. Analyze whether the 3-point central difference has higher accuracy in approximating the velocity of the unknown flying object at 22 second, comparing to 2-point forward difference and 2-point backward difference. Use small increment, h-103
CONFIDENTIAL
Q1
BDA 34103
To identify how much heat is required to bring a kettle of water to its boiling point,
you are required to calculate the specific heat of water at 61°C. The specific heat of
water is given as a function of time in Table Q1(a).
Table Q1(a): Specific heat of water as a function of temperature
Temperature, T Specific heat, Cp (c)
(C)
kg-C
42
52
82
100
110
4186
4195
4206
4224
4307
(i) Determine the specific heat value at T-61 °C using a Second order Langrange
polynomial.
(ii) Determine the specific heat value at T-61 °C using a Third order Langrange
polynomial.
(iii) Determine the absolute relative approximate error, leal obtained between the
results from the second order with the third order polynomial.
Transcribed Image Text:CONFIDENTIAL Q1 BDA 34103 To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T Specific heat, Cp (c) (C) kg-C 42 52 82 100 110 4186 4195 4206 4224 4307 (i) Determine the specific heat value at T-61 °C using a Second order Langrange polynomial. (ii) Determine the specific heat value at T-61 °C using a Third order Langrange polynomial. (iii) Determine the absolute relative approximate error, leal obtained between the results from the second order with the third order polynomial.
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