16 The set of values of p for which f(x) = p²x - [24-² dx is increasing for all x € R, is (a) [4,4] (-∞, -4]U[4, ∞) (b) (-∞, -16][16,∞) (d) [-16,16]

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Chapter2: Second-order Linear Odes
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GRB 1000 Challenging Problems in Mathematics for JEE
16. The set of values of p for which f(x) = p²x - [24-x² dx is increasing for all x € R, is:
(a) [4,4]
(-∞, -4]U[4, ∞)
(b) (-∞, -16][16,∞)
(d) [-16,16]
((2₁2+²+1)))
Transcribed Image Text:GRB 1000 Challenging Problems in Mathematics for JEE 16. The set of values of p for which f(x) = p²x - [24-x² dx is increasing for all x € R, is: (a) [4,4] (-∞, -4]U[4, ∞) (b) (-∞, -16][16,∞) (d) [-16,16] ((2₁2+²+1)))
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