- #1
Mike s
- 15
- 0
Hello,
I need to find (if there are) minimum and maximum values of the following function: [tex]z=\frac{1}{x}+\frac{1}{y} [/tex]
subject to constraint: [tex] \frac{1}{{x}^{2}}+\frac{1}{{y}^{2}}=\frac{1}{{a}^{2}} [/tex] [tex] a\neq 0 [/tex]
I think there are no extrema, but I do not know how to show it.
I need to find (if there are) minimum and maximum values of the following function: [tex]z=\frac{1}{x}+\frac{1}{y} [/tex]
subject to constraint: [tex] \frac{1}{{x}^{2}}+\frac{1}{{y}^{2}}=\frac{1}{{a}^{2}} [/tex] [tex] a\neq 0 [/tex]
I think there are no extrema, but I do not know how to show it.