1.

The value of a and b respectively so that the functionf(x)=⎧⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎩x+a√2sinx,0≤x<π42xcotx+b,π4≤x≤π2acos2x−bsinx,π2<x≤πis continuous for x∈[0,π] is

Answer»

The value of a and b respectively so that the function

f(x)=⎧⎪
⎪
⎪
⎪
⎪
⎨⎪
⎪
⎪
⎪
⎪
⎩
x+a√2sinx,0≤x<π42xcotx+b,π4≤x≤π2acos2x−bsinx,π2<x≤π


is continuous for x∈[0,π] is



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