When building a railway, the line must form a curve that is twice as derivable at any point (otherwise the passengers will experience heavy blows and the train equipment will deteriorate quickly). You will build a new railway line through Pytjehåjen. The topography indicates that for x> 0, the railway line must be on the graph So ee dt y 3= ex while for x s0 there are fewer restrictions and the path must be on the graph y = a + br + cx

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Visning O Fortell
m
AaBbCcDdEe
AaBbCcDdEe
AaBbCcD AaBbCcDdE AaBb( AaBbCcDdEe
AaBbC
Ingen mello.
Overskrift 1
Overskrift 2
Tittel
Undertittel
Svak utl
Normal
When building a railway, the line must form a curve that is twice as derivable at any point
(otherwise the passengers will experience heavy blows and the train equipment will
deteriorate quickly).
You will build a new railway line through Pytjehåjen. The topography indicates that for x> 0,
the railway line must be on the graph
So ee dt
ex
while for x s0 there are fewer restrictions and the path must be on the graph
y = a+ bx + cx
for a, b, cE R. Find a, b, and c so that the line becomes derivable.
Note that the expression for x> 0 cannot be easily extended to the whole R, so you will have
to use the definition of the derivative. Remember to justify what you are doing, explain the
steps. You get bonus points if you also find c so that the line becomes twice derivable.
Transcribed Image Text:Visning O Fortell m AaBbCcDdEe AaBbCcDdEe AaBbCcD AaBbCcDdE AaBb( AaBbCcDdEe AaBbC Ingen mello. Overskrift 1 Overskrift 2 Tittel Undertittel Svak utl Normal When building a railway, the line must form a curve that is twice as derivable at any point (otherwise the passengers will experience heavy blows and the train equipment will deteriorate quickly). You will build a new railway line through Pytjehåjen. The topography indicates that for x> 0, the railway line must be on the graph So ee dt ex while for x s0 there are fewer restrictions and the path must be on the graph y = a+ bx + cx for a, b, cE R. Find a, b, and c so that the line becomes derivable. Note that the expression for x> 0 cannot be easily extended to the whole R, so you will have to use the definition of the derivative. Remember to justify what you are doing, explain the steps. You get bonus points if you also find c so that the line becomes twice derivable.
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