Maths-
General
Easy

Question

The value of c in Lagrange’s mean value theorem for the function f open parentheses x close parentheses equals x left parenthesis x minus 2 right parenthesis when x element of open square brackets 12 close square brackets comma is

  1. 1  
  2. fraction numerator 1 over denominator 2 end fraction  
  3. 2 divided by 3  
  4. 3 divided by 2  

The correct answer is: 3 divided by 2

Related Questions to study

General
Maths-

A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is

A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is

Maths-General
General
Maths-

The set of all values of a for which the function
f open parentheses x close parentheses equals open parentheses fraction numerator square root of a plus 4 end root over denominator 1 minus a end fraction minus 1 close parentheses x to the power of 5 end exponent minus 3 blank x plus log invisible function application 5

Decreases for all real x is

The set of all values of a for which the function
f open parentheses x close parentheses equals open parentheses fraction numerator square root of a plus 4 end root over denominator 1 minus a end fraction minus 1 close parentheses x to the power of 5 end exponent minus 3 blank x plus log invisible function application 5

Decreases for all real x is

Maths-General
General
Maths-

Let f open parentheses x close parentheses equals x to the power of 3 end exponent minus 6 x to the power of 2 end exponent plus 12 x minus 3. Then at x equals 2 comma blank f left parenthesis x right parenthesis has

Let f open parentheses x close parentheses equals x to the power of 3 end exponent minus 6 x to the power of 2 end exponent plus 12 x minus 3. Then at x equals 2 comma blank f left parenthesis x right parenthesis has

Maths-General
parallel
General
Maths-

If a particle moving along a line follows the law t equals a s to the power of 2 end exponent plus b s plus c, then the retardation of the particle is proportional to

If a particle moving along a line follows the law t equals a s to the power of 2 end exponent plus b s plus c, then the retardation of the particle is proportional to

Maths-General
General
Maths-

A particle moves along a straight line with the law of motion given by s to the power of 2 end exponent equals a t to the power of 2 end exponent plus 2 b t plus c. then the acceleration varies are

A particle moves along a straight line with the law of motion given by s to the power of 2 end exponent equals a t to the power of 2 end exponent plus 2 b t plus c. then the acceleration varies are

Maths-General
General
Maths-

The equation of the tangents at the origin to the curve y to the power of 2 end exponent equals x to the power of 2 end exponent left parenthesis 1 plus x right parenthesis are

The equation of the tangents at the origin to the curve y to the power of 2 end exponent equals x to the power of 2 end exponent left parenthesis 1 plus x right parenthesis are

Maths-General
parallel
General
Maths-

A man 2 blank m e t r e s tall walks away from a lamp post 5 blank m e t r e s height at the rate of 4.8 km/hr. The rate of increase of the length of his shadow is

A man 2 blank m e t r e s tall walks away from a lamp post 5 blank m e t r e s height at the rate of 4.8 km/hr. The rate of increase of the length of his shadow is

Maths-General
General
Maths-

A spherical balloon is being inflated at the rate of 30c c to the power of blank divided by m i n. The rate of increase of the surface area of the balloon when its diameter is 14cm, is

A spherical balloon is being inflated at the rate of 30c c to the power of blank divided by m i n. The rate of increase of the surface area of the balloon when its diameter is 14cm, is

Maths-General
General
General

Out of the following set of forces, the resultant of which cannot be zero?

Out of the following set of forces, the resultant of which cannot be zero?

GeneralGeneral
parallel
General
Maths-

Letf open parentheses x close parentheses equals not stretchy integral e to the power of x end exponent open parentheses x minus 1 close parentheses left parenthesis x minus 2 right parenthesis d x. Then, f decreases in the interval

Letf open parentheses x close parentheses equals not stretchy integral e to the power of x end exponent open parentheses x minus 1 close parentheses left parenthesis x minus 2 right parenthesis d x. Then, f decreases in the interval

Maths-General
General
Maths-

Consider the following statements S and R :
S: Both sin invisible function application x and cos invisible function application x are decreasing function in open parentheses fraction numerator pi over denominator 2 end fraction comma pi close parentheses

R: If a differentiating function decreases in open parentheses a comma blank b close parentheses then its derivative also decreases in open parentheses a comma blank b close parentheses

Which of the following is true?

Consider the following statements S and R :
S: Both sin invisible function application x and cos invisible function application x are decreasing function in open parentheses fraction numerator pi over denominator 2 end fraction comma pi close parentheses

R: If a differentiating function decreases in open parentheses a comma blank b close parentheses then its derivative also decreases in open parentheses a comma blank b close parentheses

Which of the following is true?

Maths-General
General
Maths-

Which of the following functions is not decreasing on left parenthesis 0 comma blank pi divided by 2 right parenthesis ?

Which of the following functions is not decreasing on left parenthesis 0 comma blank pi divided by 2 right parenthesis ?

Maths-General
parallel
General
Maths-

Coordinates of a point on the curve y equals x log invisible function application x at which the normal is parallel to the line 2 x minus 2 y equals 3, are

Coordinates of a point on the curve y equals x log invisible function application x at which the normal is parallel to the line 2 x minus 2 y equals 3, are

Maths-General
General
Maths-

The sum of two numbers is 20. If the product of the square of one number and cube of the other is maximum, then the numbers are

The sum of two numbers is 20. If the product of the square of one number and cube of the other is maximum, then the numbers are

Maths-General
General
Maths-

The value of x for which the polynomial 2 x to the power of 3 end exponent minus 9 x to the power of 2 end exponent plus 12 x plus 4 is a decreasing function of x, is

The value of x for which the polynomial 2 x to the power of 3 end exponent minus 9 x to the power of 2 end exponent plus 12 x plus 4 is a decreasing function of x, is

Maths-General
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.