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anonymous1813
30.11.2020 •
Mathematics
The function f is continuous on the interval (0,9) and is twice differentiable except at x = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Which of the following statements could be false?
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Ответ:
A continuous function f(x) does not have discontinuity at any point
The statement that could be false is (c). The function f has a relative minimum at x = 6.
The interval is given as:
Interval = (0,9)
From the question, we understand that the function is not differentiable at x = 6.
This means that the function may or may not have a relative minimum at x = 6.
Hence, the statement that could be false is (c).
Read more about continuous functions at:
link
Ответ:
The statement that could be false is;
(C) The function has a relative minimum at x = 6
Step-by-step explanation:
The given parameters are;
The function is continuous in the interval 0 ≤ x ≤ 9
The function is not differentiable at x = 6
f prime (x) = Negative for 4 < x < 6, and positive for 6 < x < 8
Therefore, at x = 6, the function is vertical
The statement that could be false is that the function has a relative minimum at x = 6.
Ответ:
The first triangle you do 1/2 of 9 x 18 then the second one is 1/2 of 9 x 9 and then you add the two.