Continuity of Piecewise Functions — Determining Continuity

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

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

Definition of Equation of Continuity – Why Water Speeds Up in a Narrow Pipe!

Q) If 𝑓(𝑥)={(3𝑎𝑥−𝑏 ,𝑥=1 ,𝑥=1 −5𝑎𝑥−2𝑏 ,𝑥=1) is continuous at 𝑥=1, then the values of 𝑎

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Q) Differential of cos^(−1) (e^x ) with respect to x is #cbse2027 #cbse #cbsesyllabus #maths

Q) If e^(𝑥+y)=3𝑥, then dy/d𝑥 is #maths #differentiation #cbse2026 #cbse2027

Q) The derivative of cos^(−1)⁡(2𝑥^2−1) with respect to cos^(−1)⁡(𝑥) is

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Q) If 𝑦=sin⁡(𝑥+𝑦) and 𝑑𝑦/𝑑𝑥=0, then prove that 𝑦=±1.#class12maths

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Q) For the curve √x+√y=1, find the value of dy/dx at the point (1/9,1/9)

Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟

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