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Let Y : [0, )R, Y : [0, ) R, f: [0, ) R and g : [0, ) R be functions such that

Let Y : [0, )R, Y : [0, ) R, f: [0, ) R and g : [0, ) R be functions such that f(0) = g(0) = 0, and g(x)=te dt, x>0. (x)=io d. Which of the following statements is TRUE? (A) w(x) 1, for all x > 0 (B) (x) 0, for all x > 0 2 3 5 w(x) = ex+x, x 0, V(x)=x-2x-2e* + 2, x 0, -(It-t) e dt, x>0 -1 (C) f(x) 1-ex2x+2x5, for all x = 0, 2) 3 (D) g(x) 2x. f(x) = + (0.1) 1x7, for all x = 0, 7

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