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Find the values of a and b so that the ...

Find the values of a and b so that the function
`f(x)={{:(x+asqrt2 sin x", "0 le x le pi//4),(2x cot x + b", "pi//4 le x le pi//2),(a cot 2x - b sin x", "pi//2 lt x le pi):}`
is continuous for ` 0 le x le pi`.

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The correct Answer is:
`alpha=pi/6, b=-pi/12`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
  1. Discuss the continuity of the functions at the points given against th...

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  2. Discuss the continuity of the functions at the points given against th...

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  3. Discuss the continuity of the functions at the points given against th...

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  4. Find the value of k, if the functions are continuous at the points giv...

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  5. Find the value of k, if the functions are continuous at the points giv...

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  6. Find the value of k, if the functions are continuous at the points giv...

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  7. Find the value of k, if the functions are continuous at the points giv...

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  8. Find the value of k, if the functions are continuous at the points giv...

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  9. If f (x) is continuous at x=pi, where f(x) =(sqrt(2+cos x)-1)/((pi-2)^...

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  10. If the function f(x)=((4^(sinx)-1)^(2))/(x log (1+2x)), "for" x ne0, i...

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  11. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

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  12. Discuss the continuity of the functions on te intervals shown below th...

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  13. Discuss the continuity of the functions on te intervals shown below th...

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  14. Discuss the continuity of the functions on te intervals shown below th...

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  15. If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex...

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  16. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

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  17. If (f) is continuous on its domian [-2, 2], where f(x)=(sin x)/(x)+a,...

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  18. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

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  19. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

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  20. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

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