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Y=tan-1( x / 1.2+x2 ) + tan-1 ( x/ 2.3 + x2) +.............upto n terms.find dy/dx

Posted by Vaidehi Shukla 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Show that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of the sphere

Posted by Krishna Pandey 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

{tex}v = \frac{1}{3}\pi {r^2}h{/tex} {tex}\left[ {{r^2} = \sqrt {{R^2} - {x^2}} } \right]{/tex}
{tex}V = \frac{1}{2}\pi .\left( {{R^2} - {x^2}} \right).\left( {R + x} \right){/tex}
{tex}\frac{{dy}}{{dx}} = \frac{1}{3}\pi \left[ {\left( {{R^2} - {x^2}} \right)\left( 1 \right) + \left( {R + x} \right)( - 2x)} \right]{/tex}
{tex} = \frac{1}{3}\pi \left[ {\left( {R + x} \right)\left( {R - x} \right) - 2x\left( {R + x} \right)} \right]{/tex}
{tex} = \frac{1}{3}\pi \left( {R + x} \right)\left[ {R - x - 2x} \right]{/tex}
{tex} = \frac{1}{3}\pi \left( {R + x} \right)(R - 3x){/tex}....(1)
Put {tex}\frac{{dv}}{{dr}} = 0{/tex}
R = - x (neglecting)
R = 3x
{tex}\frac{R}{3} = x{/tex}
On again differentiating equation (1)
{tex}\frac{{{d^2}v}}{{d{x^2}}} = \frac{1}{3}\pi \left[ {(R + x)( - 3) + (R - 3x)(1)} \right]{/tex}
={tex}{\left. {\frac{{{d^2}v}}{{d{x^2}}}} \right]_{x = \frac{R}{3}}} = \frac{1}{3}\pi \left[ {\left( {R + \frac{R}{3}} \right)( - 3) + \left( {R - 3.\frac{R}{3}} \right)} \right]{/tex}
{tex}\frac{1}{3}\pi \left[ {\frac{{4R}}{3} \times - 3 + 0} \right]{/tex}
{tex} = \frac{{ - 1}}{3}\pi 4R{/tex}
{tex}\frac{{{d^2}v}}{{d{x^2}}} < 0{/tex} Hence maximum
Now {tex}v = \frac{1}{3}\pi \left[ {\left( {{R^2} - {x^2}} \right)\left( {R + x} \right)} \right]{/tex}{tex}\left[ {x = \frac{R}{3}} \right]{/tex}
{tex}v = \frac{1}{3}\pi \left[ {\left( {{R^2} - {{\left( {\frac{R}{3}} \right)}^2}} \right)\left( {R + \left( {\frac{R}{3}} \right)} \right)} \right]{/tex}
{tex} = \frac{1}{3}\pi \left[ {\frac{{8{R^2}}}{9} \times \frac{{4R}}{3}} \right]{/tex}
{tex}v = \frac{8}{{27}}\left( {\frac{4}{3}} \right)\pi {R^3}{/tex}
{tex}v = \frac{8}{{27}}{/tex} Volume of sphere
Volume of cone {tex} = \frac{8}{{27}}{/tex} of volume of sphere.

ANSWER

Important quesions

Posted by Nitin Rathore 6 years, 3 months ago

CBSE > Class 12 > Mathematics

5 answers

Moni Sheoran@2#3% 6 years, 2 months ago

each & every ques. r imp.

Khuskaran Sidhu 6 years, 3 months ago

Maxima &minima

Khuskaran Sidhu 6 years, 3 months ago

Limit as a sum

Khuskaran Sidhu 6 years, 3 months ago

Property of determinant

Khuskaran Sidhu 6 years, 3 months ago

Row operation

ANSWER

How i revise my probability chapter

Posted by Mantaj Singh 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Half yearly syllabus of 2019-20

Posted by Arun Yadav 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Raj Mehra?️ 6 years, 3 months ago

1-9 chp

Naresh Joshi 6 years, 3 months ago

Ask to ur school teacher

ANSWER

How to prove tan x + cot x = 1 ??

Posted by Aparna .. 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Khuskaran Sidhu 6 years, 3 months ago

Tan x + 1/tan x =1 Tan^2 x+1=tanx Sec^2 x= tan x ...???

ANSWER

How will we revise all those chapter which we learn earlier?

Posted by Supriya Kumari 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Moni Sheoran@2#3% 6 years, 2 months ago

revise basic cocepts..

Bhumika Mishra 6 years, 3 months ago

Learn ur chapters by makin notes yhat will help in quick revision

ANSWER

Logx/√1-xsquare intrigation with limit 0 to 1

Posted by Rang Gupta 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Integrate 1/x+x ki 5 for 1 mark ans

Posted by Ravi Joshi 6 years, 3 months ago

CBSE > Class 12 > Mathematics

3 answers

Ravi Joshi 6 years, 3 months ago

Integrate 1/x+x ki power 5

Shreya Dixit 6 years, 3 months ago

1/2logx +C

Satyam Sharma 6 years, 3 months ago

Plz tell the question rightly

ANSWER

tell me how can i find value of k in chapter 5 esy way?

Posted by Manu Kumar 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Khuskaran Sidhu 6 years, 3 months ago

keep l.h.l.=r.h.l. For example,x->1+ Then, put x=1+h & when x->1 - Put x= 1-h

ANSWER

1+x^2dy/dx+y=tan^-x

Posted by Ravi Sangwan 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Satyam Sharma 6 years, 3 months ago

Tale 1+x2 in denominator of y and tan-1x then u got the linear equation. After that solve it

ANSWER

4sininverse +cos inverse = π

Posted by Babaji Youtube Walee Gandhi 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Supriya Kumari 6 years, 3 months ago

Yes

ANSWER

a and b are symmetric matrices of the same order then show that a b is symmetric if and only if a and b commute that is a b equals to b

Posted by Shruti Pachori 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Lines and angle

Posted by Gautam Raj 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

how to do our 100 percent in stydy

Posted by Madhuri Rajuri 6 years, 3 months ago

CBSE > Class 12 > Mathematics

6 answers

Řøhăň Řąjpůť ✌️✊ 6 years, 3 months ago

I think the simple formula is to do consistent study. nothing else. ? do 18 hours study daily. with short break.

Priya Dharshini ? 6 years, 3 months ago

Do smart work and hard work.. both are necessary. Dont lose hope.. do so much practice. Cover ur concepts in detail than going behind questions. Questions are important. But without concepts u cant do anything. It may be maths or physics... dont mug up ans.. try to undetstand it... i know it is not possible sometimes but try. Do conceptual questions more. Do 10 topics but make it strong.. than doing 100 topic just like that from top. .. all the best.. i cant give guarantee for 100% u can score in science group but ya.. u can surely score 98%

Rohit Patel 6 years, 3 months ago

All is well

Cooper Livi'N 6 years, 3 months ago

And also, no one can give his 100 percent even detol kill only 99.9 percent germs

Cooper Livi'N 6 years, 3 months ago

Smart work is too better than hard work

Cooper Livi'N 6 years, 3 months ago

First, try to start,if you want to do something you have to start first..then try to confuse your mind and say we have only a single thing to do which is study then your mind follow it too..try to avoid social media last but not least write it in your mind if you can't do 5 to 6 hours self study per day in 24 hours then where these all hours gone?you have to study for yourself..I have not much time so it is enough that's it

ANSWER

The no

Posted by Deo Ranjan 5 years, 8 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

I HAVE MY MID TERM EXAM TOMORROW OF MATHS, WHAT SHOULD I STUDY ANY PLANS? 7 CHAPTERS

Posted by Arindam Mangal 6 years, 3 months ago

CBSE > Class 12 > Mathematics

5 answers

Manu Kumar 6 years, 3 months ago

dont take tention because whenever we think more , so we hopless.

Tanu Tanu 6 years, 3 months ago

Same here even i have also mathematics paper tomorrow

Priya Dharshini ? 6 years, 3 months ago

Run behind concepts of sums not behind the no. Of sums u need to solve..

Priya Dharshini ? 6 years, 3 months ago

Ohh.. even i having my mid term exam . Today was phy. See do those chapter which are easy for u.. in 7 atleat 4 u must be knowing . Make it strong. Do whole ncert. If time peemits learn formula of remainig 3 chapters and try to attempt it. Dont leave it blank.. do anythinh with that question... try to solve with some basic concepts..

Mehul Rawal 6 years, 3 months ago

Start doing integration, differentiation,app of derivative and determinants

ANSWER

If a matrices is (3 -2 4 -2) find ka

Posted by Mohit Gupta 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Solve. (x+2z)p+(4zx-y) q=2x-y

Posted by Neeraj Kumar 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Kaustubh Pathak 6 years, 3 months ago

(x+2z)p+(4zx-y)q=2x-y px+2pz+4xqz-yq-2x+y=0 (p+4qz-2)x+(1-q)y+2pz=0

Deepak Chaudhary 6 years, 3 months ago

(x+2z)p+(4zx-y)q=2x-y Xp+2zp+4zxq-yq=2x-y

ANSWER

3a+(-a+b)+(-a+c) solve

Posted by Kamal Joura 6 years, 3 months ago

CBSE > Class 12 > Mathematics

4 answers

Kaustubh Pathak 6 years, 3 months ago

a+b+c

Khushi Jain 6 years, 3 months ago

Dont mind but this is a ques of cls 4-5!

Yogita Ingle 6 years, 3 months ago

3a+(-a+b)+(-a+c)
= 3a - a + b - a + c
= 3a - a - a +b +c
= a + b + c

Ravi Joshi 6 years, 3 months ago

a+b+c

ANSWER

How to find (gof) and (fog)

Posted by Cooper Livi'N 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Mehul Rawal 6 years, 3 months ago

For ex f(x)=3x+4 and g(x)=3x+2 then gof(x)=g(f(x)). Gof=g(3x+4) Gof=3(3x+4)+2

Mehul Rawal 6 years, 3 months ago

Gof = g(f(x))

ANSWER

Evaluate Sin^(sin10)

Posted by Ravi Joshi 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Moni Sheoran@2#3% 6 years, 2 months ago

10

Kaustubh Pathak 6 years, 3 months ago

clarify

ANSWER

Source for prepare mcqs questions??

Posted by Arunima Devi 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

A ? 6 years, 3 months ago

Ncert and exampler...

Pragati Saini 6 years, 3 months ago

Ncert textbook and ncert examplar ... Read line by line from them

ANSWER

Integrate dx/ cos ^2x under root tan ^2x +5

Posted by Tanu Tanu 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Integration of underroot tan^2x+2 dx

Posted by Girand Singh 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

A singular matrix is invertible state true or false

Posted by Tanu Tanu 6 years, 3 months ago

CBSE > Class 12 > Mathematics

4 answers

Ravi Joshi 6 years, 3 months ago

False ,because det of singular matrix is 0, hence inverse doesn't exist

Sahdeo Koche 6 years, 3 months ago

False

Abhinav Gaur 6 years, 3 months ago

I think it's true.

Isha Raj 6 years, 3 months ago

false

ANSWER

If e^x . Y=1 then e ^x . Y^10=1 state true or false

Posted by Tanu Tanu 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Intergrate 2x dx / (x^2 +1) (x^4 +4)

Posted by Tanu Tanu 6 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Integrate:√tanxdx

Posted by Sarvjot Singh 6 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Isha Raj 6 years, 3 months ago

log |secx| + C

Apurv Srivastava 6 years, 3 months ago

- log (cosx) + C

ANSWER

Integral of sinx by sin^3x+cos^3x

Posted by Harsha Vella 6 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Harsha Vella 6 years, 2 months ago

Tanx by cosecx

ANSWER

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