5. Assume that the following conditions exist fi = 0 2= 0 Does a maximum, minimum, or saddle point exist in each case? a. fi1 > 0 fuif2 - fizf21 < 0 b. fi1 <0 fiif2 - fi2if21 > 0 c. fi1 >0 fufn - f12f1 > 0 d. fi1 < 0 fifn - fizf21 < 0
5. Assume that the following conditions exist fi = 0 2= 0 Does a maximum, minimum, or saddle point exist in each case? a. fi1 > 0 fuif2 - fizf21 < 0 b. fi1 <0 fiif2 - fi2if21 > 0 c. fi1 >0 fufn - f12f1 > 0 d. fi1 < 0 fifn - fizf21 < 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:5. Assume that the following conditions exist
fi = 0
f2 = 0
Does a maximum, minimum, or saddle point exist in each case?
a. fi> 0
11
fiif2 - fizif21 < 0
b. fi1< 0
fif2 - fi2'f21 > 0
c. fi>0
fif2 - fizf21 > 0
d. fiu < 0
fufn- f12:f21 <0
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