For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) f(x)= e²-1 on R. (b) f(x1, x2) = x122 on R²+. (c) f(x1, x2) = 1/(x122) on R²+. (d) f(x1,₂)= 1/2 on R²+.
For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) f(x)= e²-1 on R. (b) f(x1, x2) = x122 on R²+. (c) f(x1, x2) = 1/(x122) on R²+. (d) f(x1,₂)= 1/2 on R²+.
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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I need help with part d. I only need to know if it is convex or concave.
![For each of the following functions determine whether it is convex, concave, quasiconvex,
or quasiconcave.
(a) f(x)= e²-1 on R.
(b) f(x1, x2) = x122 on R²+.
(c) f(x1,2)= 1/(x122) on R²+.
(d) f(x1,₂)= T1/T2 on R²+.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F072e444d-1bde-4899-b3c3-9f07885f3d58%2Febff57b8-9861-46c7-804e-2fe8e07c18fb%2Fa6vzkcg_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following functions determine whether it is convex, concave, quasiconvex,
or quasiconcave.
(a) f(x)= e²-1 on R.
(b) f(x1, x2) = x122 on R²+.
(c) f(x1,2)= 1/(x122) on R²+.
(d) f(x1,₂)= T1/T2 on R²+.
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