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Unformatted text preview: Example 8.2.3 to ﬁt a quadratic function
to these data with the temperature, T , measured in degrees Fahrenheit, as the dependent
variable, and the number of hours after 9 PM, t, measured in hours, as the independent
variable. What was the coldest temperature of the night? When did it occur?
7. Use the technique in Example 8.2.3 to ﬁnd the line between the points (−3, 4) and (6, 1).
How does your answer compare to the slope-intercept form of the line in Equation 2.3?
8. With the help of your classmates, ﬁnd at least two diﬀerent row echelon forms for the matrix
4 12 8 8.2 Systems of Linear Equations: Augmented Matrices 8.2.2 475 Answers 1. (a) Reduced row echelon form
(c) Row echelon form only (d) Reduced row echelon form
(e) Reduced row echelon form
(f) Row echelon form only 2. (a) (−2, 7)
(b) (−3, 20, 19) (e) (8s − t + 7, −4s + 3t + 2, s, t)
for all real numbers s and t (c) (−3t + 4, −6t − 6, 2, t)
for all real numbers t (f) (−9t − 3, 4t + 20, t)
for all real numb...
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