Its better to leave 2023 pyq wala ques ...10 min lag gye Pehle lebinx fir differential eqn fir uske baad variable seperable fir se integrate kro ....tab value of constant ( c ) nikala ..and uske baad answer mein put kro
Homework question 1: 45x +5y +3 =0 ka slope 27r₁ +9r₂/2 hai slope toh -a/b hai = -9 Toh 27r₁ + 9r₂/2 = -9 _______(i) rakh dete hai aise hi ab diya hai lim(x--->3) ₃∫ˣ 8t² dt/(3r₂x/2 -r₂x² -r₁x³ -3x) NOTICE.... niiche wala term mein "x" variable "t" pe independent hai toh woh integration se bahar aa jaayega Ab hum L-H aur N-L laga denge {kyunki uparwale mein jab integration ke upper aur lower limits same hone par 8t³/3 = 0 hoo jaayega Aur Niche mein x=3 put karne aur simplify karne par -9r₂/2 - 27r₁ -9 aayega joo ki eqⁿ (i) se 0 hoo jaayega toh numerator or denominator mein 0 aa gaya } lim(x--->3) 8x²*1/(3r₂/2 - 2r₂x - 3r₁x² -3) Ab x mein 3 put kardo upar 72 aayega aur niche thoda simplify kardo -9r₂/2 -27r₁ -3 joo ki eqⁿ (i) put karne pe 9-3 = 6 aayega toh 72/6 => 12 (Ans) Homework Question 2: diya hai f(x) + (Jo bhi bhasad diya hai itna nahi type kar paunga 😅) = e for all x ∈ [0,π/2] toh le lete hai f(0) kyunki ₀∫⁰ woh wala term 0 ho jaayega kyunki limit same hai toh f(0) = e _______ (i) ab aate hai phirse usi wale equation pe itna kon f(x) likhega 😢 f(x) = z z + ₀∫ˣf(t)√(1-(ln(f(t))²)dt = e dono side x ke respect pe derivative kar lete hai (aur NL apply karte hai ) dz/dy + f(x)√(1-(ln(f(x))²)) dz/dy + z√(1-(lnz)²) = 0 dz/z√(1-(lnz)²) = -dx Ab dono side integration kardo Agar lnz= j put kardenge toh ye sin⁻¹j kaa derivative aa jaayega sin⁻¹(lnz) = -x + C sin⁻¹(ln(f(x))) = -x + C _____(2) eqⁿ (1) se x = 0, f(0)= e sin⁻¹(1) = C ===> C = π/2 AB eqⁿ (2) mein x = π/6 put kardenge sin⁻¹ (ln(f(π/6))) = π/6+π/2 = 2π/3 ab dono side SINE function lelenge ln(f(π/6)) = √3/2 ab dono side 6 multiply kardenge 6ln(f(π/6)) = 3√3 ab dono side square kardenge (6ln(f(π/6)))² = 27 (ANS)
@@Myphone-s5c Dono ans ek hi website pe diya thaa kya? Matlab kuch bhi Video explanation mein jo subtitles the kya usse copy paste kar liya? Kaisi baat kar rahe hain aap? Itna clean copy paste... Ki Hindi subtitles english mein chhap ke aa gaye comment mein?
9:42
H.W. Q2 (Mains2023)
There should be ‘+’ sign instead of ‘=‘ in between f(x) and ∫f(t)√(1-(ln(f(t))^2)dt.
f(x) + ∫f(t)√(1-(ln(f(t))^2)dt = e
@@factorialacademy arey sir mujhe laga = hi hoga mera commented ans galat hai 😅
Thank you sir bacha liya aapne 😅
Sir aap vishwas nahi karoge aap ke channel se Roz 3-3 video dekh ke hi mere mocks me marks increase kar gye maths me Thanks sir .
Wahh!! Bahut achcha laga yeh jaankar 😍😍
All the best for JEE Mains 👍
@@factorialacademy thanks sir
I got this channel before 10 days of my jee exam 😭😭😭😭😭😭😭😭😭😭😭😭
Hey! All the best for JEE Mains 👍
You will do great!
❤️
@Anirudh_Kumar bhai same Yahi dukh hai Kaash pehle mil jata
sir apka question solving ka style bahut acha hai
sir aise hi important question inverse trigonometry or indefinite integration ka laiye
Thankyou!
Yes will put soon 👍
Thank you so much sir.
You're welcome!
Its better to leave 2023 pyq wala ques ...10 min lag gye
Pehle lebinx fir differential eqn fir uske baad variable seperable fir se integrate kro ....tab value of constant ( c ) nikala ..and uske baad answer mein put kro
First time me soch ke Krna mushkil hai but kyoki aisa question mains me 3-4 bar repeat ho rakha hai to ab to rat sa gaya hai
Bhai par time toh lagega na utna
12 and 27
✅✅
I think the 2nd question of homework is wrong because you have already provided f(x)=e so answer would be 36
Yes!
H.W. Q2 (Mains2023)
There should be ‘+’ sign instead of ‘=‘ in between f(x) and ∫f(t)√(1-(ln(f(t))^2)dt.
f(x) + ∫f(t)√(1-(ln(f(t))^2)dt = e
4 and 36
There is a little correction in Q.2
im very curious lmao why does everyone say newton LEBANESE lolm
It is called that only
@shivx3295 it's leibnitz
Homework question 1:
45x +5y +3 =0 ka slope 27r₁ +9r₂/2 hai
slope toh -a/b hai = -9
Toh
27r₁ + 9r₂/2 = -9 _______(i) rakh dete hai aise hi
ab diya hai
lim(x--->3) ₃∫ˣ 8t² dt/(3r₂x/2 -r₂x² -r₁x³ -3x)
NOTICE....
niiche wala term mein "x" variable "t" pe independent hai
toh woh integration se bahar aa jaayega
Ab hum L-H aur N-L laga denge
{kyunki uparwale mein jab integration ke upper aur lower limits same hone par 8t³/3 = 0 hoo jaayega
Aur
Niche mein x=3 put karne aur simplify karne par
-9r₂/2 - 27r₁ -9 aayega
joo ki eqⁿ (i) se 0 hoo jaayega
toh numerator or denominator mein 0 aa gaya }
lim(x--->3) 8x²*1/(3r₂/2 - 2r₂x - 3r₁x² -3)
Ab x mein 3 put kardo upar 72 aayega
aur niche thoda simplify kardo
-9r₂/2 -27r₁ -3
joo ki eqⁿ (i) put karne pe 9-3 = 6 aayega
toh 72/6
=> 12 (Ans)
Homework Question 2:
diya hai f(x) + (Jo bhi bhasad diya hai itna nahi type kar paunga 😅) = e for all x ∈ [0,π/2]
toh le lete hai f(0)
kyunki ₀∫⁰ woh wala term 0 ho jaayega kyunki limit same hai
toh f(0) = e _______ (i)
ab aate hai phirse usi wale equation pe
itna kon f(x) likhega 😢
f(x) = z
z + ₀∫ˣf(t)√(1-(ln(f(t))²)dt = e
dono side x ke respect pe derivative kar lete hai (aur NL apply karte hai )
dz/dy + f(x)√(1-(ln(f(x))²))
dz/dy + z√(1-(lnz)²) = 0
dz/z√(1-(lnz)²) = -dx
Ab dono side integration kardo
Agar lnz= j put kardenge toh ye sin⁻¹j kaa derivative aa jaayega
sin⁻¹(lnz) = -x + C
sin⁻¹(ln(f(x))) = -x + C _____(2)
eqⁿ (1) se
x = 0, f(0)= e
sin⁻¹(1) = C ===> C = π/2
AB eqⁿ (2) mein x = π/6 put kardenge
sin⁻¹ (ln(f(π/6))) = π/6+π/2 = 2π/3
ab dono side SINE function lelenge
ln(f(π/6)) = √3/2
ab dono side 6 multiply kardenge
6ln(f(π/6)) = 3√3
ab dono side square kardenge
(6ln(f(π/6)))² = 27 (ANS)
✅✅
For complete solution 😄👍
Bhai tune copy maara hai website se
@@Myphone-s5c Hindi mein likha thaa kya website mein?
Edit:-
Matlab kuch bhi?
Edit2:-
Nahi bhai chhod main baccho se nahi ladta... Maaf karde...
@@Myphone-s5c Dono ans ek hi website pe diya thaa kya?
Matlab kuch bhi
Video explanation mein jo subtitles the kya usse copy paste kar liya?
Kaisi baat kar rahe hain aap?
Itna clean copy paste...
Ki Hindi subtitles english mein chhap ke aa gaye comment mein?