Continuity Function Definition

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Continuity Equation Examples

1:05

Q) Evaluate sin[cos^(−1) cos(7𝜋/6)] #shivangmathsacademy #cbsemaths #class12maths #maths

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$Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)$

1:18

Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)

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2:11

Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

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$Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t$

1:53

Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

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2.1K views2 weeks ago

0:43

Q) If 2cos^(−1) 𝑥 = 𝑦,then(A) 0≤𝑦≤𝜋(B) −𝜋≤𝑦≤𝜋(C) 0≤𝑦≤2𝜋(D) −𝜋≤𝐲 ≤ 0 #shivangmathsacademy

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2:16

Q) Simplify : .cos^(−1) ((sin𝑥+cos𝑥)/√2),𝜋/4=𝑥=5𝜋/4 #shivangmathsacademy #maths #cbsemaths

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Continuity Equation Fluids

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Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

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2.4K views3 weeks ago

$Q) Simplify : tan^(−1) {√((1−cos𝑥)/(1+cos𝑥))}}#class12maths #shivangmathsacademy #cbsemaths$

0:51

Q) Simplify : tan^(−1) {√((1−cos𝑥)/(1+cos𝑥))}}#class12maths #shivangmathsacademy #cbsemaths

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2.4K views3 weeks ago

1:42

Q) Simplify : cot^(−1) √((1+cos2𝑥)/(1−cos2𝑥)),𝑥∈(0,𝜋/2).#maths #cbsemaths #class12 #cbse2026

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2.4K views1 month ago

$Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t$

1:53

Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

2.1K views2 weeks ago

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0:43

Q) If 2cos^(−1) 𝑥 = 𝑦,then(A) 0≤𝑦≤𝜋(B) −𝜋≤𝑦≤𝜋(C) 0≤𝑦≤2𝜋(D) −𝜋≤𝐲 ≤ 0 #shivangmathsacademy

7K views1 month ago

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2:16

Q) Simplify : .cos^(−1) ((sin𝑥+cos𝑥)/√2),𝜋/4=𝑥=5𝜋/4 #shivangmathsacademy #maths #cbsemaths

3.3K views1 month ago

YouTubeShivang Maths Academy

1:05

Q) Evaluate sin[cos^(−1) cos(7𝜋/6)] #shivangmathsacademy #cbsemaths #class12maths #maths

3.9K views1 month ago

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$Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)$

1:18

Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)

360 views1 week ago

YouTubeShivang Maths Academy

2:11

Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

3K views3 weeks ago

YouTubeShivang Maths Academy

1:07

Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

2.4K views3 weeks ago

YouTubeShivang Maths Academy

0:51

Q) Simplify : tan^(−1) {√((1−cos𝑥)/(1+cos𝑥))}}#class12maths #shivangmathsacademy #cbsemaths

2.4K views3 weeks ago

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1:42

Q) Simplify : cot^(−1) √((1+cos2𝑥)/(1−cos2𝑥)),𝑥∈(0,𝜋/2).#maths #cbsemaths #class12 #cbse2026

2.4K views1 month ago

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1:50

Q) The function 𝑓 defined by 𝑓(𝑥)={ (𝑥,f 𝑥≤1 5, if 𝑥= 1 is not continuous at(A) x=0(B) 𝑥

2.1K views3 weeks ago

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1:01

If a function defined by 𝑓(𝑥)={(𝑘𝑥+1, 𝑥≤𝜋 cos𝑥 ,𝑥=𝜋) is continuous at 𝑥=𝜋, then the val

2K views2 weeks ago

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1:46

Q) Find the value of 𝑘, so that 𝑓(𝑥)={(𝑘cos𝑥/(𝜋−2𝑥), if 𝑥≠𝜋/2@3, if 𝑥=𝜋/2) is continu

1.7K views2 weeks ago

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1:23

If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘

1.7K views2 weeks ago

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0:55

Q) If sin^(−1) 𝑥 + pie =3𝑦, thenCBSE Class 12 Maths PYQ 2026 | Continuity of Piecewise Function

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2:13

Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i

1.3K views3 weeks ago

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1:09

Q) If 𝑓(𝑥)={(3𝑥−2, 0≤𝑥≤1 2𝑥^2+𝑎𝑥, 1≤𝑥≤2) is continuous for 𝑥∈(0,2), then a is equal to

2.1K views3 weeks ago

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2:05

Q) Simplify: 𝐜𝐨𝐬^(−𝟏) 𝐱+𝐜𝐨𝐬^(−𝟏) [𝐱/𝟐+√(𝟑−𝟑𝐱^𝟐 )/𝟐]; 𝟏/𝟐≤𝐱≤𝟏 #cbsemaths #maths

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1:24

Q) If e^(−𝑥)+e^(−y)=2, then dy/dx isCBSE Class 12 Maths PYQ 2026 | Continuity of

1 week ago

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1:25

For what value of k, the function given below is continuous at x = 0? 𝐟(𝐱)={((√(𝟒+𝐱)−𝟐)/𝐱,

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