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Verify Lagranges mean value theorem for the following functions on the indicated intervals. `f(x)=x-2sinxon[-pi,pi]` `f(x)=2sinx+sin2xon[0,pi]` `f(x)=(log)_e xon[1,2]` `f(x)={2+x^3,ifxlt=1 3x ,x >0on[-1,2]`

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
  1. Using mean value theorem, prove that tanx > x for all x(0,pi/2)dot

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  2. Using Lagranges mean value theorem, find a point on the curve y=sqrt(x...

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  3. Verify Lagranges mean value theorem for the following functions on the...

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  4. Verify lagranges mean value theorem for the function f(x)=(x-3)(x-6)...

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  5. Verify lagranges mean value theorem for the following functions on ...

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  6. Find the point on the curve y=cosx-1,x in [pi/2,(3pi)/2] at which the ...

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  7. It is given that the Rolles' theorem holds for the function f(x)=x^3...

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  8. Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a...

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  9. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6...

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  10. If the value of c prescribed inRolles theorem for the function f(x)...

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  11. Using Lagranges mean value theorem, prove that (b-a)sec^2a lt (tanb-t...

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  12. It is given that for the function f(x)=x^3-6x^2+a x+bon[1,3] , Rolles ...

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  13. Verify Rolles theorem for each of the following functions on the in...

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  14. Find a point on the curve y=x^2+x , where the tangent is parallel to t...

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  15. find the percentage error in calculating the volume of the cubical box...

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  16. Verify Rolles theorem for the function f(x)=x^2-5x+6 on the interval [...

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  17. Discuss the applicability of Rolles theorem on the function f(x)={(x...

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  18. Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the inte...

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  19. Verify Rolls theorem for the function f(x)=x^3-6x^2+11 x-6 on the inte...

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  20. Verify Rolle's theorem for each of the following functions on indicate...

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