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the mixing takes place, the temperatures of the chemicals are, respectively, 156.8, 161.7 and 177.2 degrees.

(a) Create a system of linear equations for the data to fit the curve T(t) = at² + bt+c, where t is the time in hours and T' is the

temperature. You essentially need to find a parabola that passes through the three points (1, 156.8), (2, 161.7), (3, 177.2).

(b) Write the system in the form Ax = b.

(c) Use Cramer's Rule to solve the system. Be sure to at least show the set up for using Cramer's Rule. You can use a computer

to compute the determinants if so desired.

(d) Write the equation of the parabola.

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