For Exercises 71-72, use a calculator to approximate the reduced row-echelon form of the augmented matrix representing the given system. Give the solution set where x , y , and z are rounded to 2 decimal places. − 3.61 x + 8.17 y − 5.62 z = 30.2 8.04 x − 3.16 y + 9.18 z = 28.4 − 0.16 + 0.09 y + 0.55 z = 4.6
For Exercises 71-72, use a calculator to approximate the reduced row-echelon form of the augmented matrix representing the given system. Give the solution set where x , y , and z are rounded to 2 decimal places. − 3.61 x + 8.17 y − 5.62 z = 30.2 8.04 x − 3.16 y + 9.18 z = 28.4 − 0.16 + 0.09 y + 0.55 z = 4.6
Solution Summary: The author explains how to calculate the reduced row-echelon form of a linear system using calculator.
For Exercises 71-72, use a calculator to approximate the reduced row-echelon form of the augmented matrix representing the given system. Give the solution set where
x
,
y
, and
z
are rounded to
2
decimal places.
−
3.61
x
+
8.17
y
−
5.62
z
=
30.2
8.04
x
−
3.16
y
+
9.18
z
=
28.4
−
0.16
+
0.09
y
+
0.55
z
=
4.6
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
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