Date: //20Day:A constrained extremisation Problem is expressedas Longronge-multiplier problem with objectivefunctional.I [X³X] = √ [ №₂ ² + y² + 3 a_k (t) (x² + y² +3²_R²) ]dtwhere x = dxc etc. and integeral has appropriatefixed limitswith fixed values of xay andZ at the endpoints.(a). Explain what geometric problem is edved here andglobal constraint.Is there alocal orb)- show that ewler-longronge evtakes the form,роботи,dor globalfor Variable xx17 ( √²+²4+75²30) = -2/xatyếtзAlso find Euler -Longronze ey's for y and 3and write them in vector notation for vectorX = (x, y₂3). Give Jemeterical interpretation chatthey tell you.

Answered: Explain what geometric problem As there…

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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.2: Applications Of Extrema

Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.

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Question

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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