The table shows the numbers of visitors y (in thousands) to one country from another country from 2012 through 2014. Visitors, y (in thousands) Year 2012 1476 2013 1805 2014 2186 (a) The data can be modeled by the quadratic function y = at? + bt + c. Write a system of linear equations for the data. Let t represent the year, with t= 12 corresponding to 2012. = 1476 = 1805 = 2186 (b) Use the matrix capabilities of a graphing utility to find the inverse of the coefficient matrix of the system from part (a). (c) Use the result of part (b) to solve the system and write the model y = at? + bt =c. (d) Use the graphing utility to graph the model with the data.
The table shows the numbers of visitors y (in thousands) to one country from another country from 2012 through 2014. Visitors, y (in thousands) Year 2012 1476 2013 1805 2014 2186 (a) The data can be modeled by the quadratic function y = at? + bt + c. Write a system of linear equations for the data. Let t represent the year, with t= 12 corresponding to 2012. = 1476 = 1805 = 2186 (b) Use the matrix capabilities of a graphing utility to find the inverse of the coefficient matrix of the system from part (a). (c) Use the result of part (b) to solve the system and write the model y = at? + bt =c. (d) Use the graphing utility to graph the model with the data.
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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Transcribed Image Text:The table shows the numbers of visitors y (in thousands) to one country from another country from 2012 through 2014.
Visitors, y
(in thousands)
Year
2012
1476
2013
2014
1805
2186
(a) The data can be modeled by the quadratic function y = at? + bt + c. Write a system of linear equations for the data. Let t represent the
year, with t= 12 corresponding to 2012.
= 1476
= 1805
= 2186
(b) Use the matrix capabilities of a graphing utility to find the inverse of the coefficient matrix of the system from part (a).
(c) Use the result of part (b) to solve the system and write the model y = at2 + bt = c.
(d) Use the graphing utility to graph the model with the data.
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