Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The function $f open parentheses x close parentheses equals cos invisible function application left parenthesis pi divided by x right parenthesis$ is increasing in the interval

$(2 n + 1, 2 n), n \in N$
$(\frac{1}{2 n + 1}, 2 n), n \in N$
$(\frac{1}{2 n + 2}, \frac{1}{2 n + 1}), n \in N$
None of these

The correct answer is: None of these

We have,
$f open parentheses x close parentheses equals cos invisible function application open parentheses fraction numerator pi over denominator x end fraction close parentheses rightwards double arrow f to the power of ´ end exponent open parentheses x close parentheses equals fraction numerator pi over denominator x to the power of 2 end exponent end fraction sin invisible function application open parentheses fraction numerator pi over denominator x end fraction close parentheses$

For $f left parenthesis x right parenthesis$ to be increasing, we must have

$f to the power of ´ end exponent open parentheses x close parentheses greater than 0$

$rightwards double arrow fraction numerator pi over denominator x to the power of 2 end exponent end fraction sin invisible function application open parentheses fraction numerator pi over denominator x end fraction close parentheses greater than 0$

$rightwards double arrow sin invisible function application open parentheses fraction numerator pi over denominator x end fraction close parentheses greater than 0$

$rightwards double arrow 2 blank n blank pi less than fraction numerator pi over denominator x end fraction less than open parentheses 2 blank n plus 1 close parentheses blank pi$

$rightwards double arrow fraction numerator 1 over denominator 2 blank n end fraction greater than x greater than fraction numerator 1 over denominator 2 blank n plus 1 end fraction rightwards double arrow x element of open parentheses fraction numerator 1 over denominator 2 blank n plus 1 end fraction comma fraction numerator 1 over denominator 2 blank n end fraction close parentheses$

Related Questions to study

The values of $a$ in order that $f open parentheses x close parentheses equals square root of 3 sin invisible function application x minus cos invisible function application x minus 2 a x plus b$ decreases for all real values of $x$ , is given by

The values of $a$ in order that $f open parentheses x close parentheses equals square root of 3 sin invisible function application x minus cos invisible function application x minus 2 a x plus b$ decreases for all real values of $x$ , is given by

If the ratio of base radius and height of a cone is $1 blank colon 2$ and percentage error in radius is $lambda blank percent sign comma$ then the error in its volume is

If the ratio of base radius and height of a cone is $1 blank colon 2$ and percentage error in radius is $lambda blank percent sign comma$ then the error in its volume is

The value of $c$ in (0, 2) satisfying the Mean value theorem for the function $f open parentheses x close parentheses equals x open parentheses x minus 1 close parentheses to the power of 2 end exponent comma blank x element of left square bracket 0 comma blank 2 right square bracket$ is equal to

The value of $c$ in (0, 2) satisfying the Mean value theorem for the function $f open parentheses x close parentheses equals x open parentheses x minus 1 close parentheses to the power of 2 end exponent comma blank x element of left square bracket 0 comma blank 2 right square bracket$ is equal to

parallel

The value of $x$ for which $1 plus x log subscript e end subscript invisible function application open parentheses x plus square root of x to the power of 2 end exponent plus 1 end root close parentheses greater or equal than square root of x to the power of 2 end exponent plus 1 end root a r e$

The value of $x$ for which $1 plus x log subscript e end subscript invisible function application open parentheses x plus square root of x to the power of 2 end exponent plus 1 end root close parentheses greater or equal than square root of x to the power of 2 end exponent plus 1 end root a r e$

If the curve $y equals a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x$ is inclined at $45 degree$ to $x$ -axis at (0, 0) but touches $x$ -axis at (1, 0), then

If the curve $y equals a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x$ is inclined at $45 degree$ to $x$ -axis at (0, 0) but touches $x$ -axis at (1, 0), then

Half-life of $14 C$ is …A… material used in determining the age of fossil is …B… . Here A and B refers to

Half-life of $14 C$ is …A… material used in determining the age of fossil is …B… . Here A and B refers to

parallel

XX’ is a type of selection process in evolution ‘XX’ promotes the population changes in one particular direction ‘XX’ favours small or large sized individuals, mean size of population changes in ‘XX’. Identify ‘XX’

XX’ is a type of selection process in evolution ‘XX’ promotes the population changes in one particular direction ‘XX’ favours small or large sized individuals, mean size of population changes in ‘XX’. Identify ‘XX’

Which of the following sets contain only homologous organs?

Which of the following sets contain only homologous organs?

Variations in a progeny takes place due to

Variations in a progeny takes place due to

parallel

What is the basis of Hugo de Vries theory of mutation?

What is the basis of Hugo de Vries theory of mutation?

According to fossils discovered upto present time origin and evolution of man was started from which country?

According to fossils discovered upto present time origin and evolution of man was started from which country?

Genetic equilibrium means

Genetic equilibrium means

parallel

How did George Cuvier accounts for the extinctions in nature

How did George Cuvier accounts for the extinctions in nature

Half-life of $14 C$ is …A… material used in determining the age of fossil is …B… . Here A and B refers to

Half-life of $14 C$ is …A… material used in determining the age of fossil is …B… . Here A and B refers to

Dinosaurs were abundant during

Dinosaurs were abundant during

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.