Modeling Data The table shows the public medical expenditures (in billions of dollars)
Chapter 13, Problem 128(choose chapter or problem)
Modeling Data The table shows the public medical expenditures (in billions of dollars) for worker’s compensation x, public assistance and Medicare from 2000 through 2005. (Source: Centers for Medicare and Medicaid Services)
A model for the data is given by
\(z=-1.2225 x^{2}+0.0096 y^{2}+71.381 x-4.121 y-354.65\).
(a) Find \(\frac{\partial^{2} z}{\partial x^{2}}\) and \(\frac{\partial^{2} z}{\partial y^{2}}\).
(b) Determine the concavity of traces parallel to the xz-plane. Interpret the result in the context of the problem.
(c) Determine the concavity of traces parallel to the yz-plane. Interpret the result in the context of the problem.
Text Transcription:
z=-1.2225x^2+0.0096y^2+71.381x-4.121y-354.65
fracpartial^2zpartialx^2
fracpartial^2zpartialy^2
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