Explain what geometric problem As there local ०४ is solved here and global constraint- d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Date: //20
Day:
A constrained extremisation Problem is expressed
as Longronge-multiplier problem with objective
functional.
I [X³X] = √ [ №₂ ² + y² + 3 a_k (t) (x² + y² +3²_R²) ]dt
where x = dxc etc. and integeral has appropriate
fixed limits
with fixed values of xay and
Z at the endpoints.
(a). Explain what geometric problem is edved here and
global constraint.
Is there a
local or
b)- show that ewler-longronge ev
takes the form,
роботи,
d
or global
for Variable x
x
17 ( √²+²4+75²30) = -2/x
at
yết
з
Also find Euler -Longronze ey's for y and 3
and write them in vector notation for vector
X = (x, y₂3). Give Jemeterical interpretation chat
they tell you.
Transcribed Image Text:Date: //20 Day: A constrained extremisation Problem is expressed as Longronge-multiplier problem with objective functional. I [X³X] = √ [ №₂ ² + y² + 3 a_k (t) (x² + y² +3²_R²) ]dt where x = dxc etc. and integeral has appropriate fixed limits with fixed values of xay and Z at the endpoints. (a). Explain what geometric problem is edved here and global constraint. Is there a local or b)- show that ewler-longronge ev takes the form, роботи, d or global for Variable x x 17 ( √²+²4+75²30) = -2/x at yết з Also find Euler -Longronze ey's for y and 3 and write them in vector notation for vector X = (x, y₂3). Give Jemeterical interpretation chat they tell you.
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