Question

Let S = {(λ, μ) ∈ R x R : f(t) = (|λ|e^|t| - μ)sin(2|t|), t ∈ R, is a differentiable function}. Then S is a subset of

(A) R x [0, ∞)

(B) [0, ∞) x R

(C) R x (-∞, 0)

(D) (-∞, 0) x R 

Answer 1

Answer is (A) R x [0, ∞)