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Rolle's Theorem and Mean Value Theorem
Rolle's Theorem - Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b..
Langrange's Mean Value Theorem
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..
If the mean of seven values is 108. Find the sum of the values.
If the mean of seven values is 108. Find the sum of the values. => 108 or 756 or 15.43 or 115..
Theorem 4
Let f be a continuous function on an interval I = [a, b]. Then, f has the absolute maximum value and f attains it at least once in I. Also, f has the absolute minimum value and attains it at least once in ..
Remainder theorem
If f(x) is a polynomial in x and is divided by x-a; then the remainder is is the value of f(x) at x = a i.e., remainder = f(..
Remainder Theorem
If f(x) is a polynomial in x and is divided by x-a; the remainder is the value of f(x) at x = a i.e., Remainder = f(a..
Rolle's Theorem
Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b..
Limitations of the theorem
Since a velocity gradient exists across the tube, the mean velocity of the liquid is to be considered. The viscous drag which comes into play when the liquid is in motion, is not taken into account. In above conservation principle, part of K.E. is converted into heat..
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