Question

Problem 2 (17 points): Pressure sensors positioned along a pipeline of a heat exchanger measure the following values: x [m] 0 0.12 0.18 0.24 0.42 0.48 0.56 0.61 0.66 p [kPa] 143 141 129 122 101 92 86 84 82 Use the polynomial interpolation and the method of undetermined coefficients to estimate the value of pressure at x=0.31 m. Do that for a) Linear polynomial b) Quadratic polynomial c) Cubic polynomial d) Polynomial of the highest degree allowed by the data Which of the methods is, in your opinion, most accurate?

          Problem 2 (17 points):
Pressure sensors positioned along a pipeline of a heat exchanger measure the following values:
x [m]
0
0.12
0.18
0.24
0.42
0.48
0.56
0.61
0.66
p [kPa] 143
141
129
122
101
92
86
84
82
Use the polynomial interpolation and the method of undetermined coefficients to estimate the
value of pressure at x=0.31 m. Do that for
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) Polynomial of the highest degree allowed by the data
Which of the methods is, in your opinion, most accurate?

Show more…

Problem 2 (17 points):
Pressure sensors positioned along a pipeline of a heat exchanger measure the following values:
x [m]
0
0.12
0.18
0.24
0.42
0.48
0.56
0.61
0.66
p [kPa] 143
141
129
122
101
92
86
84
82
Use the polynomial interpolation and the method of undetermined coefficients to estimate the
value of pressure at x=0.31 m. Do that for
a) Linear polynomial
b) Quadratic polynomial
c) Cubic polynomial
d) Polynomial of the highest degree allowed by the data
Which of the methods is, in your opinion, most accurate?

Added by Nathan A.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Aarya B

Step 1

31 m using a linear polynomial, we need to find the equation of a line that passes through two points on the pipeline: (0.24, 122) and (0.42, 101). The equation of a line can be written as y = mx + b, where m is the slope and b is the y-intercept. Show more…

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Problem 2 (17 points): Pressure sensors positioned along a pipeline of a heat exchanger measure the following values: x[m] 0 0.12 0.18 0.24 0.42 0.48 0.56 0.61 0.66 p[kPa] 143 141 129 122 101 92 86 84 82 Use polynomial interpolation and the method of undetermined coefficients to estimate the value of pressure at x=0.31 m. Do that for a) Linear polynomial b) Quadratic polynomial c) Cubic polynomial d) Polynomial of the highest degree allowed by the data. Which of the methods is, in your opinion, most accurate?

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