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Why in rolles theorem closed interval is used for contuinity and open interval is used for differentiability?
Wiki User
∙ 14y ago
It requires that f(a)=f(b) where a and b are beginning and ending points. Also, it says there is a c between a and such that f'(c)=0. If f were not differentiable on the open interval, the statement f'(c)=0 would be invalid.
Wiki User
∙ 14y ago
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Differentiate a closed interval from an open interval?
Open interval does not include its end points while closed interval includes
Will you find the number 89 in the interval 79-89?
Yes, if it is the closed interval. No, if it is the open interval.
What are the limitation of the probability?
Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].
Why do not you closed the interval mat with infinity?
Because infinity is not a number.
Is Closed interval finite?
Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.
Differentiate a closed interval from an open interval?
Open interval does not include its end points while closed interval includes
Will you find the number 89 in the interval 79-89?
Yes, if it is the closed interval. No, if it is the open interval.
What are the limitation of the probability?
Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].
What includes least and greatest value?
A closed interval.
What does closed 2 mean?
In an interval it means that the 2 is included.
Why do not you closed the interval mat with infinity?
Because infinity is not a number.
Is Closed interval finite?
Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.
Is it possible to take the union of two open intervals and get a closed interval?
No.
Is it possible to take the union of infinitely many open intervals and get a closed interval?
No, it is not.
Is it possible to take the union of two closed intervals and get an open interval?
aye
What is the relationship between the Green's Theorem Divergence Theorem and Stoke's Theorem?
GREEN'S THEOREM: if m=m(x,y) and n= n(x,y) are the continuous functions and also partial differential in a region 'r' of x,y plane bounded by a simple closed curve c. DIVERGENCE THEOREM: if f is a vector point function having continuous first order partial derivatives in the region v bounded by a closed curve s
Identify the interval -8 3 as open closed half open or unbounded?
Open
