Maths-
General
Easy

Question

If f colon R not stretchy rightwards arrow R defined by f left parenthesis x right parenthesis equals fraction numerator e to the power of x squared end exponent minus e to the power of negative x squared end exponent over denominator e to the power of x squared end exponent plus e to the power of negative x squared end exponent end fraction text , then  end text f text  is  end text

  1. one-one but not onto
  2. not one-one but onto
  3. one-one and onto
  4. one-one and onto

The correct answer is: one-one and onto

Related Questions to study

General
maths-

f colon R not stretchy rightwards arrow R is a function defined by f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text  Then  end text f stack stack text  is  end text with _ below with _ below

f colon R not stretchy rightwards arrow R is a function defined by f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text  Then  end text f stack stack text  is  end text with _ below with _ below

maths-General
General
physics

The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is

The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is

physicsGeneral
General
physics

Average force exerted by the bat is

Average force exerted by the bat is

physicsGeneral
parallel
General
physics

A cricket ball of mass  150 g. is moving with a velocity of 12m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s If duration of contact between the ball and the bat is 0.01sec The impulse of the force is

A cricket ball of mass  150 g. is moving with a velocity of 12m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s If duration of contact between the ball and the bat is 0.01sec The impulse of the force is

physicsGeneral
General
physics

Assertion : It is difficult to move bike with its breaks on.
Reason : Rolling friction is converted into sliding friction, which is comparatively larger.

Assertion : It is difficult to move bike with its breaks on.
Reason : Rolling friction is converted into sliding friction, which is comparatively larger.

physicsGeneral
General
physics

Assertion : A body falling freely under gravity becomes weightless.
Reason:straight R equals straight m left parenthesis straight g minus straight a right parenthesis equals straight m left parenthesis straight g minus straight g right parenthesis equals 0

Assertion : A body falling freely under gravity becomes weightless.
Reason:straight R equals straight m left parenthesis straight g minus straight a right parenthesis equals straight m left parenthesis straight g minus straight g right parenthesis equals 0

physicsGeneral
parallel
General
physics

Assertion :  body of trans 1 k 6 is moving with an acceleration of  The rate of change of its momentum is 1 N
Reason : The rate of change of momentum of body = force applied on the body.

Assertion :  body of trans 1 k 6 is moving with an acceleration of  The rate of change of its momentum is 1 N
Reason : The rate of change of momentum of body = force applied on the body.

physicsGeneral
General
physics

Assertion : Frictional forces are conservative forces.
Reason: Polential energy can be associated with frictional forces

Assertion : Frictional forces are conservative forces.
Reason: Polential energy can be associated with frictional forces

physicsGeneral
General
physics

When forces F1,F2,F3 are acting on a particle of mass m such  that F2 and F3 are mulually perpendicelar. then the particle remains stationary. If the force F1 is now removed than the acceleration of the particle is

When forces F1,F2,F3 are acting on a particle of mass m such  that F2 and F3 are mulually perpendicelar. then the particle remains stationary. If the force F1 is now removed than the acceleration of the particle is

physicsGeneral
parallel
General
physics

The minimum force required to start pushing a body up a rough (coefficient of ) inclined plane is F1. While the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle theta from the horizontal. such that  than theta equals 2 mu the ratio  F subscript 1 over F subscript 2 is

The minimum force required to start pushing a body up a rough (coefficient of ) inclined plane is F1. While the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle theta from the horizontal. such that  than theta equals 2 mu the ratio  F subscript 1 over F subscript 2 is

physicsGeneral
General
physics

A mass of 6 kg is suspended by a rope of length 2 m form the ceiling . A force of 50 N in the horizental direction is applied at the mid Point P of the rope as shown in figure. what is the angle the rope makes. with the vertical in equilibrium ? (g=10 ms2) Neglect mass of the rope:

A mass of 6 kg is suspended by a rope of length 2 m form the ceiling . A force of 50 N in the horizental direction is applied at the mid Point P of the rope as shown in figure. what is the angle the rope makes. with the vertical in equilibrium ? (g=10 ms2) Neglect mass of the rope:

physicsGeneral
General
physics

With what acceleration (a) should a bot descend so that a block of mass M placed in it exerts a force fraction numerator M g over denominator 4 end fraction on the floor of the box?

With what acceleration (a) should a bot descend so that a block of mass M placed in it exerts a force fraction numerator M g over denominator 4 end fraction on the floor of the box?

physicsGeneral
parallel
General
physics

Two bodies A and B each of mass m are fixed together by a massless spring A force  F acts on the mass B as shown in figure. At the instant shown, a body A has an aceclration a. what is the acceleration of B

Two bodies A and B each of mass m are fixed together by a massless spring A force  F acts on the mass B as shown in figure. At the instant shown, a body A has an aceclration a. what is the acceleration of B

physicsGeneral
General
physics

A balloon has a mass of 10 g in air. The air escapes from the balloon at a uniform rate with a velocity of 5 cm/s and the balloon shrinks completely in 2.5sec. calculate the average force acting on the balloon.

A balloon has a mass of 10 g in air. The air escapes from the balloon at a uniform rate with a velocity of 5 cm/s and the balloon shrinks completely in 2.5sec. calculate the average force acting on the balloon.

physicsGeneral
General
physics

The motion of a particle of a mass m is describe by y=u t plus 1 half g t squared. Find the once acting on the particle

The motion of a particle of a mass m is describe by y=u t plus 1 half g t squared. Find the once acting on the particle

physicsGeneral
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.