3. Let F(x) be a strictly decreasing
continuously differentiable function on [a, b]. Then
must equal to
|
A. |F(b)| - |F(a)| |
B. F(a) - F(b) |
C. F(b)-F(a) |
|
D. |F(a)| - |F(b)| |
E. F(-b) – F(-a) |
|
Solution: The answer is B
By the definition of the absolute value,
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Since F(x) is a strictly decreasing continuously differentiable function on [a, b], then F’(x) < 0 for all x in [a, b]. Thus,
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