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 .
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 .
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.
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.
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
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
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😊😊
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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
Nope
I saw this problem in your telegram channel and solved it using the first approach
But the second one was mind-blowing, seriously 🤯♥️
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
Bhaiya 2nd solution was very good keep bringing these kind of methods 🔥🔥
😁 yess boss
Bhyi itna asaan question bhaiya bht easy thaa👍🏿👍🏿👍🏿👍🏿
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
2nd method was out of the world😮
4:50 ab yad rhega 🫡
4:48 nahi pata tha bhai😢
Bhaiya sachii mai bohut maja aagaya ....curiousity to learn new concepts aur high hogyi❤❤
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 .
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
Hungry for more!
many times i get deja vu while watching solution of this question
Put a = 1 and verify option
Second solution dekhke maza hi aa gaya bhaiya😘
Yeah I love this kind of content, I want more.
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
Mujhe 😊 direct formula pta tha thank God......
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 havent touch Binomial Yet but after watching this video i am super excited for it! Great video bhaiya
😂😂😂
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 .
4:42 didn't knew it🥲 bas yahi pe atak gaya thaa
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
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.
Very easy question solved within 5 mins with your method 1
2 method amazing to watch but not realistic to do in exams
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.
bhai maja aagya second solution dekh ke🤔🤔
I feel begger ka formula h at 4:48... Mtlb begger me hum use krte h...
-ve index ka formula
Method 2 was godly solution
4:52 ka formula mujhe nahi yad thi
Amazing 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?
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
Abhi formula pata chala aaj ke baad nhi bhoolunga
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
bhaiya can you please make your google form submission for tough questions public?
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
Nhi bhaiya nhi pata tha ab yad rakhne ki koshik karunga
Bhaiya jo shorts me questions hai Vo kese hoga
a!/(1-x)^(a+1)
Maine second waale hi method se kiya first time 😂
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 😅😅😅
Bhai Kya ye Question Sach Me tough h ya mera prep utna nahi ha
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)
Jeeadvanced level new limit as a sum problem karaye please
maja aa gaya bhai
Mujhe to nahi pata tha formula. Infact mujhe binomial theorem tough lagta hai especially wo wala part jisme expansion karte hai. Help is appreciated.🥲
😭 i got your second method in first try but did not get to simplify.
I loved the soln 2 ❤❤❤❤❤❤
Bhaiyaa solution kafi mast tha. But maine google form bahr ke ek saval bheja tha pls use solve kr do.
PLEASEEEE DO THESE TYPE OF VIDEOS
Yess boss, I will
Mujhe nahipata hai
Science use maths to proove
Philosophy use logics to proove hence mathematics is consciousness and consciousness is divine ❤
4:45 isse pehle wala ho gaya but mujhe formula pata hi nahi tha 😢😢
Same bro
same bro
LOVED IT
Nahi pata binomial series ka formula in sol1
mujhe nahi atta tha formula. thank you bhaiya
What about me I just had finished sequence and series and don't knew anything about binomial 😅
+-1 wala nahi soch paya mai, but i originally did it using method 1
i am inn 11th i never new the direct equation
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😊😊
Ab formula yaad rakhunga 😊
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
AAJ HI PATA CHALA YE FORMULA
Formula P and C se yaad tha :)
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 .
Bhaiya vo formula yadd nhi th but ab bhulunga nhi
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
❤wow maza aa gya
Muje nahi pata hai ,
But I remembered it
Didn't remember
Marvellous
Amazing!
Expression tak pahuc gaya tha
4:50 Yes bhaiya ab hamesha yaad rahega
Yaa i know
Hamari jee advanced ki exam me aya tha aur mene first attempt me kiya tha
Mere 270 mese 230 aye the💪
4:50 bhaiya ab nahi bulunga 🤝
Majaa aa gaya bhaiya
Nhi pta tha binomial formula
2nd solution hogya merse 1st wala nhi bana lol
Nhi ptaa hai mujhe
arrey bhai maine second tareeke see hii kara tha
Nhi pata ab nhi bhulunga
4:48 nahi pata
4:58 pata tha 😭
2nd method 🤯🤯
bhaiya easy tha ye aur tough lao questions
Nhi pta tha but yad rkhuga
bhot jyada maza aya
I didnt know the formula
i didn't know the formula
I didn't know that formula
Next time yad rakhu ga
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 ??
Idk the formula
Wah maza aayega
😃👍 great
mujhe nhi pata hai ur aaj k baad nahi bhulunga
i dont know