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wpatskiteh7203
16.10.2019 •
Mathematics
Iwin £21 on the lottery but give 1/3away how much do i give away
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Ответ:
3*7=21, 21-7= 14 and if 1/3 of 21 is seven and you give away 1/3 you are left with 2/3 of 21 and that equals 14
Step-by-step explanation:
Ответ:
Step-by-step explanation:
Rolle's theorem states that if f is a continuous function defined on a closed interval [a, b] differentiable on the open interval (a, b) and f (a) = f (b), then:
There is at least one point c in the open interval (a, b) such that f '(c) = 0
Given a function:
and a interval:
Is f(x) continuous over [0,2]?
Yes, it is, because the domain of this function is![(-\infty, \infty)](/tpl/images/0571/2615/1ad42.png)
Is f'(x) differentiable on the open interval (0,2) ?
First, let's find f'(x):
Therefore f'(x) is differentiable on the open interval (0,2) because the domain of f'(x) is![(-\infty, \infty)](/tpl/images/0571/2615/1ad42.png)
Is f(0)=f(2) ?
Hence:
Now, we have verified that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. So, let's find all numbers c that satisfy the conclusion of Rolle's Theorem:
Let's find the roots using the quadratic equation:
Since:
The value of c that satisfies the conclusion of Rolle's Theorem is: