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The Mean Value Theorem : In this section we will discuss the Mean Value Theorem.
Before we going through the Mean Value Theorem we have to cover the following theorem.
Rolle's Theorem : Assume f ( x ) is a function which satisfies all of the following.
1. f ( x ) is continuous on the closed interval [a,b].
2. f ( x ) is differentiable on the open interval (a,b).
3. f ( a ) =f (b )
Then there is a number c such that a < c < b and f ′ (c ) = 0 . Or, in other terms f ( x ) contain a critical point in (a,b).
The Limit : In the earlier section we looked at some problems & in both problems we had a function (slope in the tangent problem case & average rate of change in the rate of chan
Changing The Base Of The Index For comparison reasons if two series have different base years, this is difficult to compare them directly. In such cases, it is essential to ch
how can you determine trasportation schedule that minimizes cost
Solve following 4e 1+3 x - 9e 5-2 x = 0 . Solution Here the first step is to get one exponential on every side & then we'll divide both sides by one of them (that doesn'
Descriptive Statistics Statistics Definition of Statistics: it viewed as a subject is a process of tabulating, collecting and analyzing numerical data upon which importan
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
Evolve a game to help children remember basic multiplication facts. In this section we have looked at ways of helping children absorb some simple multiplication facts. But what
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if ab=25 . a(5,x)and b(2,5) . find x.
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