(a)
To Find: The system of linear equations for the data.
(a)
Answer to Problem 66E
The required system of linear equation is
Explanation of Solution
Given:
The given data is shown in Table 1
Table 1
Year | Visitor, y in thousand |
2012 | 1474 |
2013 | 1807 |
2014 | 2188 |
The given
The year is
Calculation:
Consider the given equation is,
Then, from the above equation and from the given Table, the system of linear equation is,
(b)
To Find: The inverse of the coefficient matrix of the system from part (a).
(b)
Answer to Problem 66E
The inverse of the coefficient matrix is
Explanation of Solution
Consider the given system of linear equations is,
From above set of equations, the required matrix is,
The inverse of the above matrix is,
(c)
To Find: The solution for the system and then write the model in the form of
(c)
Answer to Problem 66E
The solution for the system of equation is
Explanation of Solution
Consider the inverse of the coefficient matrix written in the form
By the use of graphing utility the results are,
Thus, the required equation of the parabola is
(d)
To Find: The graph for the model with the given data.
(d)
Answer to Problem 66E
The required graph for the parabola is shown in Figure 1
Explanation of Solution
Consider the required equation of the parabola is
Then, from the given model the graph for the parabola is shown in Figure 1
Figure 1
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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