5. The performance, p, of a machine is measured experimentally for four values of a design parameter, a (Table 2). α -1 1 2 4 р -0.75 0.75 0 3 Table 2: Experimental results of performance against design parameter Assume that the performance is related to the design parameter by a third- order polynomial function. (i) Derive four equations in terms of unknown coefficients. Obtain the matrix representation of the equations. (ii) (iii) (iv) Determine whether a unique solution exists. If it does, calculate the solution and find p when α = 3.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5.
The performance, p, of a machine is measured experimentally for four values of
a design parameter, a (Table 2).
α
-1
1
2
4
р
-0.75
0.75
0
3
Table 2: Experimental results of performance against design parameter
Assume that the performance is related to the design parameter by a third-
order polynomial function.
(i) Derive four equations in terms of unknown coefficients.
Obtain the matrix representation of the equations.
(ii)
(iii)
(iv)
Determine whether a unique solution exists.
If it does, calculate the solution and find p when α = 3.
Transcribed Image Text:5. The performance, p, of a machine is measured experimentally for four values of a design parameter, a (Table 2). α -1 1 2 4 р -0.75 0.75 0 3 Table 2: Experimental results of performance against design parameter Assume that the performance is related to the design parameter by a third- order polynomial function. (i) Derive four equations in terms of unknown coefficients. Obtain the matrix representation of the equations. (ii) (iii) (iv) Determine whether a unique solution exists. If it does, calculate the solution and find p when α = 3.
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