Let Y : [0, )R, Y : [0, ) R, f: [0, ) R and...

Transcribed Image Text:

Let Y₁ : [0, ∞)→R, Y₂ : [0, ∞) →R, f: [0, ∞) → R and g : [0, ∞) → R be functions such that f(0) = g(0) = 0, x² and g(x) = √te-¹dt, x > 0. 0 w₁(x)=e* + x, x ≥ 0, V₂(x)=x²-2x - 2e*+2, x ≥ 0, f(x) = (lt-t²) e-dt, x>0 Which of the following statements is TRUE? 1 (A) f(√In 3)+g(√In 3): 3 (B) For every x > 1, there exists and a = (1, x) such that w₁(x) = 1 + ax (C) For every x > 0, there exists a B = (0, x) such that w₂(x) = 2x(w₁(B) - 1) (D) f is an increasing function on the interval 0, 3 2 Let Y₁ : [0, ∞)→R, Y₂ : [0, ∞) →R, f: [0, ∞) → R and g : [0, ∞) → R be functions such that f(0) = g(0) = 0, x² and g(x) = √te-¹dt, x > 0. 0 w₁(x)=e* + x, x ≥ 0, V₂(x)=x²-2x - 2e*+2, x ≥ 0, f(x) = (lt-t²) e-dt, x>0 Which of the following statements is TRUE? 1 (A) f(√In 3)+g(√In 3): 3 (B) For every x > 1, there exists and a = (1, x) such that w₁(x) = 1 + ax (C) For every x > 0, there exists a B = (0, x) such that w₂(x) = 2x(w₁(B) - 1) (D) f is an increasing function on the interval 0, 3 2

Answer rating: 100% (QA)

The detailed ... View the full answer