Proof of Cauchy's Mean value theorem || proof of Second mean value theorem || Engg. Mathematics 1

Опубликовано: 27 Октябрь 2018
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Proof of Cauchy's Mean value theorem || proof of Second mean value theorem || Engineering mathematics 1


Mean value theorem :-
It is divided into two parts as given...
1 ) Lagrange's mean value theorem
Or
First mean value theorem

2) Cauchy's mean value theorem
Or
Second mean value theorem

Here is explained Cauchy's or Second mean value theorem very briefly with statement.!

Statement:-. Let f(x) & g(x) be two function of X defined on [a,b],. Such that...
1. f(x) & g(x) are continuous in [a,b]
2. f(x) & g(x) are differentiable in (a,b)
Then there exists some point C € (a,b) ... Such that...
[ f(b) - f(a) ] /[ g(b) - g(a)] = [f'(c) /g'(c)]


Lagrange's mean value theorem :-    • Mean value theorem || Lagrange's mean...  

Proof of Lagrange's mean value theorem:-
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Total damping force will be the total sum of individual damping forces..
F = (f1 + f2 + f3 +....)


Stiffness of spring/ Defloration of spring:-
   • Stiffness of spring || Deflection of ...  


Springs in series:-
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Springs in parallel:-
   • Springs in parallel || G Tech Educati...  

Dampers in series:-
   • Dampers in series || Engineering meth...  

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