Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

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

does not exist Extreme Values; $cos space invisible function application x plus sin to the power of 4 space x element of$

$[\frac{1}{2}, 1]$
$[1, \frac{3}{2}]$
$[\frac{3}{2}, 2]$
$[\frac{3}{4}, 1]$

The correct answer is: $open square brackets 3 over 4 comma 1 close square brackets$

Related Questions to study

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses equals sin squared x minus sin squared straight pi over 4 equals fraction numerator 1 minus cos 2 x over denominator 2 end fraction minus open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses squared equals 1 half minus fraction numerator cos 2 x over denominator 2 end fraction minus 1 half equals negative 1 half cos 2 x F o r space m i n i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space cos 2 x equals 1 f left parenthesis x right parenthesis equals negative 1 half cross times 1 equals fraction numerator negative 1 over denominator 2 end fraction F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space cos 2 x equals negative 1 f left parenthesis x right parenthesis equals negative 1 half cross times negative 1 equals 1 half S o comma space sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses element of open square brackets fraction numerator negative 1 over denominator 2 end fraction comma 1 half close square brackets

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses equals sin squared x minus sin squared straight pi over 4 equals fraction numerator 1 minus cos 2 x over denominator 2 end fraction minus open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses squared equals 1 half minus fraction numerator cos 2 x over denominator 2 end fraction minus 1 half equals negative 1 half cos 2 x F o r space m i n i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space cos 2 x equals 1 f left parenthesis x right parenthesis equals negative 1 half cross times 1 equals fraction numerator negative 1 over denominator 2 end fraction F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space cos 2 x equals negative 1 f left parenthesis x right parenthesis equals negative 1 half cross times negative 1 equals 1 half S o comma space sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses element of open square brackets fraction numerator negative 1 over denominator 2 end fraction comma 1 half close square brackets

parallel

$sin squared space x plus cos to the power of 4 space x element of$

$sin squared space x plus cos to the power of 4 space x element of$

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

In a closed organ pipe in which length of air-column can be increased or decreased, the first resonance occurs at

lambda divided by 4

and second resonance occurs at

3 lambda divided by 4.

Thus, at first resonance

fraction numerator lambda over denominator 4 end fraction equals 13 blank horizontal ellipsis open parentheses i close parentheses

And a second resonance

fraction numerator 3 lambda over denominator 4 end fraction equals 41 blank horizontal ellipsis open parentheses i i close parentheses

Subtracting Eq.(i) from Eq.(ii), we have

fraction numerator 3 lambda over denominator 4 end fraction minus fraction numerator lambda over denominator 4 end fraction equals 41 minus 13

⟹ fraction numerator lambda over denominator 2 end fraction equals 28

therefore blank lambda equals 56 blank c m

Hence, frequency of tuning fork

v equals fraction numerator v over denominator lambda end fraction equals fraction numerator 350 over denominator 56 cross times 10 to the power of negative 2 end exponent end fraction equals 365 blank H z

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

physics-General

In a closed organ pipe in which length of air-column can be increased or decreased, the first resonance occurs at

lambda divided by 4

and second resonance occurs at

3 lambda divided by 4.

Thus, at first resonance

fraction numerator lambda over denominator 4 end fraction equals 13 blank horizontal ellipsis open parentheses i close parentheses

And a second resonance

fraction numerator 3 lambda over denominator 4 end fraction equals 41 blank horizontal ellipsis open parentheses i i close parentheses

Subtracting Eq.(i) from Eq.(ii), we have

fraction numerator 3 lambda over denominator 4 end fraction minus fraction numerator lambda over denominator 4 end fraction equals 41 minus 13

⟹ fraction numerator lambda over denominator 2 end fraction equals 28

therefore blank lambda equals 56 blank c m

Hence, frequency of tuning fork

v equals fraction numerator v over denominator lambda end fraction equals fraction numerator 350 over denominator 56 cross times 10 to the power of negative 2 end exponent end fraction equals 365 blank H z

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

As is clear from figure, at

t equals 0 comma x equals 0

y equals 0

. Therefore, option (a)or (d)may be correct.
In case of (d);

y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis

fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets

fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets

fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v

fraction numerator d y over denominator d t end fraction equals negative v open parentheses fraction numerator d y over denominator d x end fraction close parentheses

i e blank p a r t i c l e blank v e l o c i t y equals negative left parenthesis w a v e blank s p e e d right parenthesis cross times s l o p e

x equals 0

t equals 0

is positive, in figure. Therefore, particle velocity is in negative y-direction.

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

physics-General

As is clear from figure, at

t equals 0 comma x equals 0

y equals 0

. Therefore, option (a)or (d)may be correct.
In case of (d);

y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis

fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets

fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets

fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v

fraction numerator d y over denominator d t end fraction equals negative v open parentheses fraction numerator d y over denominator d x end fraction close parentheses

i e blank p a r t i c l e blank v e l o c i t y equals negative left parenthesis w a v e blank s p e e d right parenthesis cross times s l o p e

x equals 0

t equals 0

is positive, in figure. Therefore, particle velocity is in negative y-direction.

parallel

The function $sin space open parentheses x squared close parentheses plus cos$ $plus cos space square root of x$ is

The function $sin space open parentheses x squared close parentheses plus cos$ $plus cos space square root of x$ is

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

The period of the function $open vertical bar sin cubed space x over 2 close vertical bar plus open vertical bar cos to the power of 5 space x over 5 close vertical bar$ is

The period of the function $open vertical bar sin cubed space x over 2 close vertical bar plus open vertical bar cos to the power of 5 space x over 5 close vertical bar$ is

parallel

In any $straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction$ =

In any $straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction$ =

In $straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis$ =

In $straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis$ =

In $straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals$

In $straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals$

parallel

If the period of $fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N$ is $6 pi$ then n=

If the period of $fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N$ is $6 pi$ then n=

Let $f left parenthesis x right parenthesis equals cos space square root of p x$ where $p equals left square bracket a right square bracket$ where is the integral part of x. If the period of f(x) is $pi$ , then $a element of$

Let $f left parenthesis x right parenthesis equals cos space square root of p x$ where $p equals left square bracket a right square bracket$ where is the integral part of x. If the period of f(x) is $pi$ , then $a element of$

Which of the following options is correct for the object having a straight line motion represented by the following graph

From given figure, it is clear that the net displacement is zero. So average velocity will be zero

Which of the following options is correct for the object having a straight line motion represented by the following graph

physics-General

From given figure, it is clear that the net displacement is zero. So average velocity will be zero

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.