Set, Relation and FunctionHard
Question
Let f(x) = 
(3z - z2 - 4)dz has the same domain as g(x) = sec-1 (1 + 
), then (Æ’(x)max - Æ’(x)min) is -
(3z - z2 - 4)dz has the same domain as g(x) = sec-1 (1 + ), then (Æ’(x)max - Æ’(x)min) is -Options
A.
B.
C.
D.
Solution
8x - x2 - 15 ≥ 0 ⇒ [3,5]
f′(x) = 3x– x2 - 4
f′(x) < 0 ∀ x ∈ [3,5]
f(x)max = f(3), f(x)min = f(5)
f(5) =
f(3) = -
⇒ f(3) – f(5) =
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
If A, B and C are any three sets, then A × (B ∪ C) is -...Let a relation R in the set N of natural numbers be defined as (x, y) ∈ R if and only if x2 − 4xy + 3y2 = 0 ...The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by...A set is defined as A = {x : x is irrational and 0.1 < x < 0. 101} then :...A velocity m/s is resolved into two components along OA and OB making angles 30o and 45o respectively with the given vel...