Maths-
General
Easy

Question

Extreme Values:The range of f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root

  1. [-1,1]
  2. [-2,2]
  3. [-3,3]
  4. [-4,4]

hintHint:

In this question, we have to find the range of the given function. We know that the range of cos y is [-1, 1] using the inequality from it, we can find the range of given trigonometric function.

The correct answer is: [-3,3]


    A s comma space minus 1 less or equal than cos space y less or equal than 1
P u t t i n g space t h e space v a l u e comma space y space equals square root of 3 plus x plus x squared end root comma
rightwards double arrow negative 1 less or equal than cos space square root of 3 plus x plus x squared end root less or equal than 1
M u l t i p l y i n g space b y space 3 comma
rightwards double arrow negative 3 less or equal than 3 cos square root of 3 plus x plus x squared end root less or equal than 3
S o comma space t h e space r a n g e space i s space left square bracket negative 3 comma space 3 right square bracket.

    Related Questions to study

    General
    physics-

    What is the equivalent resistance between A blank a n d blank B in the given circuit?

    What is the equivalent resistance between A blank a n d blank B in the given circuit?

    physics-General
    General
    physics-

    The current in the 1capital omega resistor shown in the circuit is

    The current in the 1capital omega resistor shown in the circuit is

    physics-General
    General
    physics-

    The current in the 1capital omega resistor shown in the circuit is

    The current in the 1capital omega resistor shown in the circuit is

    physics-General
    parallel
    General
    physics-

    The total current supplied to the given circuit by the battery is

    The total current supplied to the given circuit by the battery is

    physics-General
    General
    physics-

    A current of 2A flows in an electric circuit as shown in figure. The potential differenceleft parenthesis V subscript R end subscript minus V subscript S end subscript right parenthesis, in volts( V subscript R end subscript minus V subscript S end subscript are potentials at R and S respectively) is

    A current of 2A flows in an electric circuit as shown in figure. The potential differenceleft parenthesis V subscript R end subscript minus V subscript S end subscript right parenthesis, in volts( V subscript R end subscript minus V subscript S end subscript are potentials at R and S respectively) is

    physics-General
    General
    physics-

    A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be

    A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be

    physics-General
    parallel
    General
    physics-

    The equivalent resistance between the points A and B will be (each resistance is
    15 capital omega)

    The equivalent resistance between the points A and B will be (each resistance is
    15 capital omega)

    physics-General
    General
    physics-

    There resistances of 4blank capital omega each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be

    There resistances of 4blank capital omega each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be

    physics-General
    General
    physics-

    A particle starts from rest at t equals 0 and moves in a straight line with an acceleration as shown below. The velocity of the particle at t equals 3 s blankis

    A particle starts from rest at t equals 0 and moves in a straight line with an acceleration as shown below. The velocity of the particle at t equals 3 s blankis

    physics-General
    parallel
    General
    maths-

    Period of sin space open parentheses e to the power of text sont  end text end exponent plus e to the power of text cur  end text end exponent close parentheses is

    Period of sin space open parentheses e to the power of text sont  end text end exponent plus e to the power of text cur  end text end exponent close parentheses is

    maths-General
    General
    Maths-

    Period of fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction

    Period of fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction

    Maths-General
    General
    physics-

    In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)

    In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)

    physics-General
    parallel
    General
    physics-

    In the adjoining figure the equivalent resistance between A and B is

    In the adjoining figure the equivalent resistance between A and B is

    physics-General
    General
    physics-

    The charge on the capacitor of capacitance C shown in the figure below will be

    The charge on the capacitor of capacitance C shown in the figure below will be

    physics-General
    General
    physics-

    Each resistance shown in figure is 2blank capital omega. The equivalent resistance between A and B is

    Each resistance shown in figure is 2blank capital omega. The equivalent resistance between A and B is

    physics-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.