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Why Is Electric Potential Scalar

Electric potential is the scalar quantity because it is defined as the amount of work done to bring a unit positive charge to bring from infinity... View Article

What Is The Best Dielectric

A dielectric is an electrical insulator that can be polarized by an applied electric field. Calcium Copper Titanate (CCTO) has the highest... View Article

What Are The Factors That Affect Inductance

Following factors affect the inductance in a circuit: The greater the number of turns of wire in the coil, the greater the inductance. Fewer... View Article

How Does Depletion Region Decrease Forward Bias

In forward bias, the width of the depletion layer in a p-n junction diode decreases due to the repulsion of charge carriers from battery terminals.... View Article

What Is Kinetic Energy At Infinity

The distance that is required to escape a body’s gravitation is known as the infinite distance. The universal gravitation equation is given by... View Article

Why Is The Heat Engine Not 100 Percent Efficient

Carnot’s principle states that it is impossible to design a heat engine whose only effect is to absorb heat from a high-temperature region and... View Article

If The Function F N N Is Defined By F X Root X Then F 25 F 16 F 1 Is Equal To

Solution: (1) f (x) = √x [f (25) / f (16) + f (1)] = √25 / [√16 + √1] = 5 / [4 + 1] = 1... View Article

If D 30 Is The Set Of The Divisors Of 30 X Y Belongs To D 30 We Define X Y Lcm X Y X Y Gcd X Y X 30 X And F X Y Z X Y Y Z Then F 2 5 15 Is Equal To

Solution: (3) D30 = 1, 2, 3, 5, 6, 10, 15, 30 f (2, 5, 15) = (2 + 5) (5’ + 15) = 10 [(30 / 5) + 15] = 10... View Article

If F 4 Infinity 4 Infinity Is Defined By F X 5 X X 4 Then F 1 X Is Equal To

Solution: (2) f (x) = 5x(x-4) y = 5x(x-4) x (x - 4) = log5 x x2 - 4x - log5 y = 0 x = 4 ± [√16 + 4 log5 y] / 2 = 2 ± √4 + log5 y... View Article

If F Is A Real Numbers And The Mappings F R R G R R Are Defined By F X 5 X 2 And G X 3x 4 Then The Value Of Fog 1 Is

Solution: (1) f (x) = 5 - x2 and g (x) = 3x - 4 g (-1) = 3 (-1) - 4 = -7 f (-7) = 5 - (-7)2 = 44 (fog)(-1) = -44... View Article

If F Is A Real Valued Function Such That F X Y F X F Y And F 1 5 Then The Value Of F 100 Is

Solution: (5) f (1) = 5 f (x + y) = f (x) + f (y) If x = 1, y = 1, f (2) = 2 f (1) = 2 * 5 = 10 If x = 2, y = 1, f (3) = f (2) + f (1) =... View Article

If F X X 2 1 And G X X 1 2 Then Gof X Is Equal To

Solution: (3) (gof)(x) = g (f (x)) = ((x2 - 1) + 1)2 = (x2 - 1 + 1)2 = (x2)2 = x4... View Article

If F X Alpha A 2 A 1 A Not Equal To 1 The Value Of Alpha For Which F A Alpha Where Alpha Not Equal To 0 Is

Solution: (3) f (a) = a f (x) = αa2 / a + 1 α = 1 + (1 / a)... View Article

If G X Is The Inverse Of F X And F X Cos X Then G X Is Equal To

Solution: (2) fog (x) = x f’ (g (x)) g’ (x) = 1 g ‘ (x) = 1 / f’ (g (x)) = 1 / cos (g (x)) = sec (g (x))... View Article

If F 0 1 1 3 2 3 3 5 Is A Function From Z To Z Defined By F X Ax B Then

Solution: (3) f (x) = ax + b f (0) = -1 b = -1 f (-1) = -3 -a + b = -3 -a= -3 + 1 a = 2 f (x) = 2x - 1... View Article

If The Function F 1 Infinity 1 Infinity Is Defined By F X 2 X X 1 Then F 1 X Is Equal To

Solution: (5) f (x) = 2x(x-1) y = 2x(x-1) log y = log 2x(x-1) log y = x (x - 1) log 2 log y = (x2 - x) log 2 x2 log 2 - x log 2 -... View Article

If F X 4x 3 3x 2 3x 4 Then X 3 F 1 X Is Equal To

Solution: (4) f (x) = 4x3 + 3x2 + 3x + 4 f (1 / x) = 4 (1 / x)3 + 3 (1 / x)2 + 3 (1 / x) + 4 = (4 / x)3 + (3 / x)2 + (3 / x) + 4 x3 f (1 /... View Article

If F 0 1 R Is Defined By F X B X 1 Bx Where B Is A Constant Such That 0 B 1 Then

Solution: (1) f : (0,1) → R f-1 : R → (0, 1) y = f (x) = [b - x] / [1 - bx] y - byx = b - x x - byx = b - y x = [b - y] / [1 - by] [0... View Article

If F X X 2 And G X Sin X For All X Belongs To R Then The Set Of All X Satisfying Fogogof X Gogof X Where Fog X F G X Is

Solution: (1) (gof) (x) = g (f(x)) = sinx2 (gogof) (x) = g (g (f (x))) = sin (sin x2) ( fogogof)(x) = f (g (g (f (x)))) = sin2 (sin x2)... View Article

If R Is The Set Of Real Numbers And The Functions F R R And G R R Be Defined By F X X 2 2x 3 And G X X 1 Then The Value Of X For Which F G X G F X Is

Solution: (4) f (g(x)) = (g(x))2 - 2 g(x) + 3 = (x + 1)2 - 2 (x + 1) + 3 = x2 + 2x + 1 - 2x - 2 + 3 = x2 + 2 g (f(x)) = f (x) + 1 = x2 +... View Article

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