the following functions quasi-concave? Assume x ≥ 0 f(x) = a f(x) = a + cx²,c<0 Are the following functions quasiconcave, quasiconvex, both, or neither: f(x) = x³ - 2x f(x₁, x₂) = 6x₁ - 9x2 f(x₁,x₂) = x₂ - ln x₁ f(x,y) = −(x + 1)² − (y + 2)² for x, y > 0
the following functions quasi-concave? Assume x ≥ 0 f(x) = a f(x) = a + cx²,c<0 Are the following functions quasiconcave, quasiconvex, both, or neither: f(x) = x³ - 2x f(x₁, x₂) = 6x₁ - 9x2 f(x₁,x₂) = x₂ - ln x₁ f(x,y) = −(x + 1)² − (y + 2)² for x, y > 0
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 following functions quasi-concave? Assume x ≥ 0
f(x) = a
f(x) = a + cx², c < 0
Are the following functions quasiconcave, quasiconvex, both, or neither:
- f(x) = x³ - 2x
f(x₁, x₂) = 6x₁ - 9x2
f(x₁, x₂) = x₂ - ln x₁
f(x, y) = (x + 1)² − (y + 2)² for x, y > 0
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