Question

Let f : [0, [infinity]) → R be a continuous function such that
ˣ
f (x) = 1 -2 x +ഽeˣ⁻ᵗ f(t) dt
₀
for all x ∊[0,[infinity]). Then, which of the following statement(s) is (are) TRUE ?
(A) The curve y = f(x) passes through the point (1, 2)
(B) The curve y = f(x) passes through the point (2, -1)
(C) The area of the region {(x, y) ∊ [0, 1] x R : f(x) < y < √1- x² } is ????-2/4
(D) The area of the region {(x, y) ∊ [0, 1] x R : f(x) < y < √1- x² } is ????-1/4

Answer 1

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