Question

(C)
Directions (Q. Nos. 22-23) Let f:[0, 1] → R (the set of
all real numbers) be a function. Suppose the function
f is twice differentiable, f(0) = f(1) = 0 and satisfies
f(x) – 2f' (əc) + f(x) 2 e*, xe [0,1].
ol
22. Which of the following is true for 0< x < 1?
(a) O< f(x) < 0
(b) < f(x) <
(0) -- <f(x) < 1
(d) - 0 < f(x) < 0
1
(0) - < 101<
Dovor
2
4
23. If the function e * f(x) assumes its minimum in
the interval [0, 1] at x = 1/4, which of the
following is true?
1 3
(a) f'(x) < f(x), - <x< - (b) f(x) > f(x), 0<x<
4
1
(C) f'(x) < f(x), 0< x < - "x= x. *<
(d) f'(x) < f(x), - < x < 1
4
4​

Answer 1

Answer:

d) - 0 < f(x) < 0 uapsjdb7820273