mena pura expression ko y ke equal man liya fhir log le liya taki product vali terms add kar saku finally merea e^ ma sab kuch alag sa add hone lag diya ise ka agge ma stuck hogya
Here's a fun challenge for calculus lovers.. A jalebi is a loop of 2a + 2b + 4 unit squares which can be obtained by cutting a concentric a × b hole out of an (a + 2)(b + 2) rectangle, for some positive integers a and b. (The side of length a of the hole is parallel to the side of length a + 2 of the rectangle.) Consider an infinite grid of unit square cells. For each even integer n >= 8 a bakery of order n is a finite set of cells S such that, for every n-cell jalebi B in the grid, there exists a congruent copy of B all of whose cells are in S. (The copy can be translated and rotated.) We denote by f(n) the smallest possible number of cells in a bakery of order n. Find a real number a such that, for cell sufficiently large even integers n >= 8 we have 1/100 < (f(n))/(n ^ alpha) < 100
I solved it when you first posted it on Instagram I really enjoyed it, it was the first time I had used manipulation with factorial along with solving diffrential eqns it was very nice .
Mera method 1 se hogaya Aur method 2 strike nahi hua..as in even after the clue...it didnt strike me to do the +/-1 thing. In hindsight that was a very obvious manipulation that we do all the time when we want to differentiate Maza aagaya...ill never forget this question
Bhai galat cheez karke idea aya tha limit ke andar differentiation karna. Limit ke andar differentiation bhi ek solution nikla. Ye galat baat hai, bohot galat hai.
Last me partial fraction karne ka cheez was too good, M1 was also good negative index got revised, although I count identify that since they don't teach in c form rather expand in factorial form. Please continue these questions thank you.
second solution was amazing , bhaiya i was not able to crack this q by myself . abhi 11 m hu 1st sol too smj nhi aaya lkin second solution mereko smj aaya ki aap usme kya kr rhe the or kyu . please bhaiya post this kind of content weekly . agr hr week mein mathematics ke deep sawal milenge , so i think the thought process will be on next level . atlest in my case , it will be improved .
shared it to my friends and we all tried solving it before watching the solution, I was trying to get a logarithmic series such as ln(1-x) or ln(1+x). My friend thought he got an AGP but he gotr something different. Binomial isnt taught yet so I guess Ill re attempt it later
liked this one my initial thought was the first method only but yea couldnt recognize which binomial expression it was 2nd method was cool but definitely not feasible during exam imo (atleast for me)
Bhaiya maine pehle method se kiya or mai negative index wale formula par stuck ho gaya kyuki mujhe woh formula nhi pata tha😅 Thank you bhaiya naye formula or usko apply kaha karna hai uske liye😊😊
Bhaiya mein 9 th mein hun mera yeh approach tha ki on putting k values my series turned out to be a!+((a+2)!)x^2/2!+((a+3)!)x^3/3!……so on till infinity toh ise aage kya karna hain?.?
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mena pura expression ko y ke equal man liya fhir log le liya taki product vali terms add kar saku finally merea e^ ma sab kuch alag sa add hone lag diya ise ka agge ma stuck hogya
Here's a fun challenge for calculus lovers..
A jalebi is a loop of 2a + 2b + 4 unit squares which can be obtained by cutting a concentric a × b hole out of an (a + 2)(b + 2) rectangle, for some positive integers a and b. (The side of length a of the hole is parallel to the side of length a + 2 of the rectangle.) Consider an infinite grid of unit square cells. For each even integer n >= 8 a bakery of order n is a finite set of cells S such that, for every n-cell jalebi B in the grid, there exists a congruent copy of B all of whose cells are in S. (The copy can be translated and rotated.) We denote by f(n) the smallest possible number of cells in a bakery of order n. Find a real number a such that, for cell sufficiently large even integers n >= 8 we have 1/100 < (f(n))/(n ^ alpha) < 100
3/2
I saw this problem in your telegram channel and solved it using the first approach
But the second one was mind-blowing, seriously 🤯♥️
Bhaiya 2nd solution was very good keep bringing these kind of methods 🔥🔥
😁 yess boss
Bhyi itna asaan question bhaiya bht easy thaa👍🏿👍🏿👍🏿👍🏿
4:48 nahi pata tha bhai😢
2nd method was out of the world😮
Bhaiya bahut hi mind opening tha question bhale exam me na aaye but kuch ideas is questions ko deduce kr ke maine kuch ques me bhi lgaya
Hungry for more!
Bhaiya sachii mai bohut maja aagaya ....curiousity to learn new concepts aur high hogyi❤❤
I was not knowing the formula since our teacher did not taught us yet but sure thanks for this it will help me in remembering it for long time
Maja aa gya... Mai second method ko 30% kar chuka tha by myself, bas differential waali cheez dekhkar samajh mein aayi
4:50 ab yad rhega 🫡
many times i get deja vu while watching solution of this question
Yeah I love this kind of content, I want more.
Second solution dekhke maza hi aa gaya bhaiya😘
2 solution me problem he
-Summation ka a times differentiate nahi karna he
-a times differentiate karke summation karna he
Please reply me
Dono same hi hoga Kuki differentiation ka additive property hai. d/dx(f(x)+g(x)) = d/dx(f(x)) + d/dx(g(x))
@HI-hi17 ok i understood
I did it by integration. Much more intuitive than the binomial theorem’s negative power and negative term handling.
I had the same idea but couldn’t execute it, how did you use integration?
@ I’ll redo the solution and post it here. I already have forgotten it. And excuse me, I just turned 40. 😂
I solved it when you first posted it on Instagram I really enjoyed it, it was the first time I had used manipulation with factorial along with solving diffrential eqns it was very nice .
Mujhe 😊 direct formula pta tha thank God......
a!/(1-x)^(a+1)
Maine second waale hi method se kiya first time 😂
4:42 didn't knew it🥲 bas yahi pe atak gaya thaa
Mera method 1 se hogaya
Aur method 2 strike nahi hua..as in even after the clue...it didnt strike me to do the +/-1 thing. In hindsight that was a very obvious manipulation that we do all the time when we want to differentiate
Maza aagaya...ill never forget this question
Bhai galat cheez karke idea aya tha limit ke andar differentiation karna. Limit ke andar differentiation bhi ek solution nikla. Ye galat baat hai, bohot galat hai.
shi hai bhai dhyan se dekh aur padh
@@shivx3295 dhyan se dekh aur Hindi padh.
galat kaun hai tum ya wo
Bhai kya bol rhe ho? kya hua?
Last me partial fraction karne ka cheez was too good, M1 was also good negative index got revised, although I count identify that since they don't teach in c form rather expand in factorial form. Please continue these questions thank you.
maja aa gaya bhai
Amazing question!
Me in 10th who is not able to understand anything (eg nCr, binomial,limits etc the word bhayia is saying) but maja aa rha hai 😅😅😅
Marvellous
second solution was amazing , bhaiya i was not able to crack this q by myself . abhi 11 m hu 1st sol too smj nhi aaya lkin second solution mereko smj aaya ki aap usme kya kr rhe the or kyu .
please bhaiya post this kind of content weekly . agr hr week mein mathematics ke deep sawal milenge , so i think the thought process will be on next level . atlest in my case , it will be improved .
bhai maja aagya second solution dekh ke🤔🤔
shared it to my friends and we all tried solving it before watching the solution, I was trying to get a logarithmic series such as ln(1-x) or ln(1+x). My friend thought he got an AGP but he gotr something different. Binomial isnt taught yet so I guess Ill re attempt it later
-ve index ka formula
Method 2 was godly solution
Mujhe to nahi pata tha formula. Infact mujhe binomial theorem tough lagta hai especially wo wala part jisme expansion karte hai. Help is appreciated.🥲
Yaa i know
Hamari jee advanced ki exam me aya tha aur mene first attempt me kiya tha
Mere 270 mese 230 aye the💪
Science use maths to proove
Philosophy use logics to proove hence mathematics is consciousness and consciousness is divine ❤
+-1 wala nahi soch paya mai, but i originally did it using method 1
liked this one
my initial thought was the first method only but yea couldnt recognize which binomial expression it was
2nd method was cool but definitely not feasible during exam imo (atleast for me)
I havent touch Binomial Yet but after watching this video i am super excited for it! Great video bhaiya
😂😂😂
Bhaiya can't we do it by integration. Taking K common a times and the put 1/k as X then apply limit from 0 to 1.
1/k and 2/k wale terms multiplication me hai sum me nahi to kaise integration me convert hoga?
Usse r/k lega to vo general term nhi ban jayega. Ye to basic hota h definite ke chapter ka.Similar concept se related Cengage mein bhi h.
I loved the soln 2 ❤❤❤❤❤❤
LOVED IT
Nhi bhaiya nhi pata tha ab yad rakhne ki koshik karunga
Majaa aa gaya bhaiya
❤wow maza aa gya
Bhaiya maine pehle method se kiya or mai negative index wale formula par stuck ho gaya kyuki mujhe woh formula nhi pata tha😅
Thank you bhaiya naye formula or usko apply kaha karna hai uske liye😊😊
bhot jyada maza aya
Ab formula yaad rakhunga 😊
Abhi formula pata chala aaj ke baad nhi bhoolunga
Amazing!
Didn't remember
0:08 toh bhaiya koi grand lvl qn sahime karwaiye na ajtak apna har ek qn strt karne se pehle yehi bola hai. but ajtak god lvl qn karwya nhi
4:45 isse pehle wala ho gaya but mujhe formula pata hi nahi tha 😢😢
Same bro
same bro
Muje nahi pata hai ,
But I remembered it
bhaiya easy tha ye aur tough lao questions
😃👍 great
I didn't knew that binomial formula that way but i know the coefficient of x^r in (1-x)^-n , that is n+r-1Cr .
2nd method 🤯🤯
Formula P and C se yaad tha :)
Bhaiya 2nd wala method mene post kia tha😁
Ohh, in tele ryt? whats ur name
@@jeesimplified-subject GlacialNuz
ye formula for solution 1 notes mai likh rkha tha mere hit thodi der baad kra
Bro me binomial introduce to kar liya tha solution me, but couldnt end it into the final answer,😢, wo (1-x)^-n me hi atak gaya
😭 i got your second method in first try but did not get to simplify.
Wah maza aayega
PLEASEEEE DO THESE TYPE OF VIDEOS
Yess boss, I will
arrey bhai maine second tareeke see hii kara tha
I feel begger ka formula h at 4:48... Mtlb begger me hum use krte h...
Bhai Kya ye Question Sach Me tough h ya mera prep utna nahi ha
mujhe nahi atta tha formula. thank you bhaiya
4:52 ka formula mujhe nahi yad thi
AAJ HI PATA CHALA YE FORMULA
if we take it
f(x)= (x((k+1)(k+2).........(k+a))^1/k )^k
will we be able to solve with limits
How ??
Bhaiyaa solution kafi mast tha. But maine google form bahr ke ek saval bheja tha pls use solve kr do.
❤❤❤❤
What about me I just had finished sequence and series and don't knew anything about binomial 😅
Nhi pata ab nhi bhulunga
Mera aaya 2nd method se😁😀
Mujhe nahipata hai
I have a question if a/b = k where k is some positive number greater than 1 and a,b belongs to real (b ≠ 0) . Does that imply a > b?
yes a>=b
4:50 Yes bhaiya ab hamesha yaad rahega
Badiya question
4:50 bhaiya ab nahi bulunga 🤝
mujhe nhi pata hai ur aaj k baad nahi bhulunga
Op Question❤
Next time yad rakhu ga
I didn't know that formula
Nhi pta tha but yad rkhuga
bhaiya can you please make your google form submission for tough questions public?
Bhaiya vo formula yadd nhi th but ab bhulunga nhi
Bhaiya second method agar ladki hoti to shadi kar leta 😂
❤
4:48 nahi pata
4:58 pata tha 😭
Boss try krne ke liye mat bola kro
Jab se aapne community post oar ye question dala hai tab se bahut samay already de chuka hu
Bhaiya jo shorts me questions hai Vo kese hoga
Bhaiya mein 9 th mein hun mera yeh approach tha ki on putting k values my series turned out to be a!+((a+2)!)x^2/2!+((a+3)!)x^3/3!……so on till infinity toh ise aage kya karna hain?.?
i am inn 11th i never new the direct equation
i dont know
Yad rahega
Expression tak pahuc gaya tha
Jeeadvanced level new limit as a sum problem karaye please
🗣️ : Ye Question to saleem sir ne homework me diya tha 🤬🤬🤬