If F(x) = xf(t) dt2, where f is the function whose graph is given, which of the following values is largest?F(0)F(1) F(2)F(3)F(4)
Question
If F(x) = , where f is the function whose graph is given, which of the following values is largest?
F(0)
F(1)
F(2)
F(3)
F(4)
Solution
The question seems to be incomplete. The function F(x) = ∫xf(t) dt from 2 is an integral function, but the limits of the integral are not specified. Also, the graph of the function f(t) is mentioned but not provided.
However, assuming that the integral is from 2 to x (F(x) = ∫ from 2 to x of f(t) dt), the value of F(x) would depend on the function f(t) and its graph.
If f(t) is a positive increasing function, then F(4) would be the largest value. If f(t) is a positive decreasing function, then F(0) would be the largest. If f(t) is a function that increases and decreases, then without the graph or a specific form of f(t), we cannot determine which value of F(x) is the largest.
Please provide the missing information so that I can give a more accurate answer.
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