Let x0∈(0,∞)x0∈(0,∞) be the value of x∈(0,∞)x∈(0,∞) that maximizes the function f:(0,∞)→Rf:(0,∞)→R defined by f(x):=lnx/xf(x):=lnx/x for every x∈(0,∞),x∈(0,∞), and y0:=f(x0)y0:=f(x0) be the value of this maximum. Then the product x0y0x0y0 is
Let x0∈(0,∞)x0∈(0,∞) be the value of x∈(0,∞)x∈(0,∞) that maximizes the function f:(0,∞)→Rf:(0,∞)→R defined by f(x):=lnx/xf(x):=lnx/x for every x∈(0,∞),x∈(0,∞), and y0:=f(x0)y0:=f(x0) be the value of this maximum. Then the product x0y0x0y0 is
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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Let x0∈(0,∞)x0∈(0,∞) be the value of x∈(0,∞)x∈(0,∞) that maximizes the function f:(0,∞)→Rf:(0,∞)→R defined by
f(x):=lnx/xf(x):=lnx/x for every x∈(0,∞),x∈(0,∞),
and y0:=f(x0)y0:=f(x0) be the value of this maximum. Then the product x0y0x0y0 is
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