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Is Ethanoic Acid A Strong Acid

Ethanoic acid is a weak acid. Learn various concepts of acids and bases in an engaging way, subscribe to BYJU’S - The Learning App.... View Article

Do Structural Isomers Have The Same Physical Properties

Structural isomers have different physical properties. Learn various concepts of science and maths in an engaging way, subscribe to BYJU’S - The... View Article

Is Ion Dipole Stronger Than Hydrogen

Yes, ion-dipole is stronger than hydrogen bonding. To know more about intermolecular forces in an interesting way, subscribe to BYJU’S - The... View Article

Is Ammonia An Acid Or A Base

Ammonia is a weak base. To know more about acids and bases in an interesting way, subscribe to BYJU’S - The Learning App.... View Article

Is Covalent Bond Stronger Than Metallic

Yes, covalent bond are stronger than metallic bond. Learn about metallic bond in an engaging way, subscribe to BYJU’S - The Learning App.... View Article

Is Gold Or Silver A Better Conductor

Silver is a better conductor than gold. To know more about various elements of chemistry and other science topics in an interesting way,... View Article

How Does Temperature Change Equilibrium

As the temperature increases, the equilibrium constant decreases. Learn various concepts of science and maths in an engaging way, subscribe to... View Article

Is Mercury Still Used In Batteries

Mercury is not used in batteries now. Learn about the fundamentals of elements and other science topics in an interesting way, subscribe to... View Article

The Domain Of Definition Of The Function F X 1 Root Tan X Tanx Is

Solution: (2) f (x) = 1 / √|tan x| - tanx Since |tanx| = + tanx if tanx ≥ 0 and - tanx if tanx < 0 f (x) is defined as for tanx < 0... View Article

If F X 1 F X 1 Root 3 F X For All X Belongs To R Then The Period Of F X Is

Solution: (3) If f (x) is periodic with period p, f (x + p) = f (x) f (x + 1) + f (x - 1) = √3 f (x) f (x + 1) = √3 f (x) - f (x - 1) When... View Article

The Period Of F X 10 Cos 2 Pi X X X Sin 2 Pi X Is

The period of f (x) =is 1) 1 2) 2 3) 3 4) π Solution: (1) f (x) = cos2 π (x + 1) = cos2 (πx + π) and x + 1 - [x + 1] = x - [x] f (x +... View Article

The Period Of The Function F X Cos X 2 Sinx Is

Let F X X 2 0 X 2 2x 3 2 X 3 X 2 X 3 Then

Let f (x) = x2, 0 < x < 2 = 2x – 3, 2 ≤ x < 3 = x + 2, x ≥ 3. Then 1) 2) 3) 4) Solution: (1) f (3 / 2) = 9 / 4 as (3 / 2) <... View Article

Let F X 4 Cos Root X 2 Pi 2 9 Then

1) Df = [π / 3, ∞), Rf = [-1, 1] 2) Df = [π / 3, ∞), Rf = [-2, 2] 3) Df = (- ∞, - π / 3] ⋃ [π / 4, ∞) 4) Df = (-∞, π / 3), Rf = (0, 4]... View Article

If E X E F X E Then For F X

Solution: (3) ex + ef(x) = e ex + ey = e ex = e - ey x = log (e - ey) e - ey > 0 ey < 0 y < 1 y ∈ (−∞, 1)... View Article

If F X And G X Are Two Functions Of X Such That F X G X E X And F X G X E X Then

Solution: (3) f (x) + g (x) = ex f (x) − g (x) = e–x Add the above equations, 2 f (x) = ex + e-x f (x) = [ex + e-x] / 2 Put f (x)... View Article

Let F Infinity 1 Infinity 1 Such That F X X 2 X Then F 1 X Is

Solution: (2) y = f (x) = x (2 − x) = 2x - x2 x2 - 2x + y = 0 x = 2 ± [√4 - 4y] / 2 = 1 ± √1 - y Since, x ≤ 1, x = 1 - √1 - y f-1 (y)... View Article

F X 1 1 X X 0 1 Then The Graph Of The Function Y F F F X X 1 Is

Solution: (3) f (x) = 1 / (1 - x) f (f (x)) = 1 / [1 - f (x)] = (1 - x) / (-x) = [x - 1] / x y = f ( f (f (x)) = 1 / [1 - {(x - 1) / x}]... View Article

Let F X Be A Function Whose Domain Is 5 7 Let G X 2x 5 Then Domain Of Fog X Is

Solution: (3) g(x) = | 2x + 5 | Domain of f (x) = [-5, 7] -5 ≤ |2x + 5| ≤ 7 |2x + 5| is positive. |2x + 5| ≤ 7 -7 ≤ 2x + 5 ≤ 7 -12 ≤ 2x... View Article

The Range Of The Function F X X 1 X 2 1 X 3 Is

Solution: (2) For -1 ≤ x ≤ 1, f (x) = - (x - 1) - (x - 2) For 1 ≤ x ≤ 2, f (x) = (x - 1) - (x - 2) = 1 For 2 ≤ x ≤ 3, f (x) = 2x - 3 x ∈... View Article

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