(f) f(x1,x2) = xî xª, where 0 < a<1, on R?+.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3.16 For each of the following functions determine whether it is convex, concave, quasiconvex,
or quasiconcave.
(a) f(x) = eª – 1 on R.
(b) ƒ(x1,x2) = x1x2 on RÍ+:
(c) f(x1, x2) = 1/(@1#2) on R+.
(d) f(x1,x2) = 1/x2 on R?+.
(e) f(x1, x2) = xỉ/x2 on R x R++.
(f) f(x1,x2) = xi a-ª, where 0 < a < 1, on R?+.
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