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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).
Q. Find Probabilities for the Standard Normal Distribution? Ans. Suppose the history teacher decides to distribute the final grades of his class with a normal distribution
Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans: a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =
In this section we will be looking exclusively at linear second order differential equations. The most common linear second order differential equation is in the type. p (t ) y
uses of maths concept
Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser
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Find the second derivative of the below given equation Y= e x cosx
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Inverse Sine : Let's begin with inverse sine. Following is the definition of the inverse sine. y = sin -1 x ⇔ sin y = x for - ?/2 ≤ y ≤ ?/2 Hen
|a.x|=1 where x = i-2j+2k then calculate a
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