Please solve for c and d without programming. This problem is based on the following data for the density, p, and sound speed, a, of water as afunction of temperature.TРa(°C) (kg/m³) (m/s)010001402209981482409921529609831551809721554100 9581543Estimate, using a piecewise linear interpolation,(a) the density and sound of speed of water when T = 35° C;(b) the temperature and density of water when a = 1545 m/s.Moreover, find(c) a least squares line a(T) = c₁T + co fitting the data;(d) a least squares parabola p(T) = c₂T²+c₁T+ Co fitting the data.

(a)Given the temperature T(oC) and speed of sound a(m/s) in the table,Ta…

Answered: This problem is based on the following…

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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