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Rolle's Theorem
Assume f(x) is a function which satisfies all of the following.
1. f(x) is continuous in the closed interval [a,b].
2. f(x) is differentiable in the open interval (a,b).
3. f(a) = f(b)
So, there is a number c as a < c < b and f′(c) = 0. Or, though f(x) has a critical point in (a,b).
1+2x
If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans : AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x
how to simplify fractions
INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to
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Important formulas d (a b )/ dx = 0 This is a constant d ( x n ) / dx = nx n -1 Power Rule d (a x ) / dx = a x l
The owner of TMH Hospital wants to open a new facility in a certain area. He usually builds 25-, 50-, or 100-bed facilities, depending on whether anticipated demand is low, medium
What is input - output analysis?
write as a percent 6/10
Example of Adding signed numbers: Example: (2) + (-4) = Solution: Start with 2 and count 4 whole numbers to the left. Thus: (2) + (-4) = -2 Adding
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