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int0^(pi/2)frac{2^sinx}{2^sinx+2^cosx}dx...

`int_0^(pi/2)frac{2^sinx}{2^sinx+2^cosx}dx`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let R^+ be the set of all non-negative real numbers. if f: R^+ rar...

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  2. Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...

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  3. int0^(pi/2)frac{2^sinx}{2^sinx+2^cosx}dx

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  4. Let f:[-1,oo]vec[-1,) is given by f(x)=(x+1)^2-1,xgeq-1. Show that f i...

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  5. Let f: NvecR be a function defined as f(x)=4x^2+12 x+15. Show that f: ...

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  6. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

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  7. Let f,g:vec R be defined by f(x)=2x+1 and g(x)=x^2-2 for all x in R, r...

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  8. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  9. If f: A->A ,g: A->A are two bijections, then prove that (i) fog is an ...

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  10. Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=IZ .

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  11. Which one the following relations on A={1,2,3} is function? f={(1,3),(...

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  12. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

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  13. Let A}x :-1lt=xlt=1}a n df: Avec A such that f(x)=x|x|, then f is (a) ...

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  14. If the function f:[1,oo)rarr[1,oo) is defined by f(x)=2^(x(x-1)),t h e...

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  15. If f(x)=(x-1)/(x+1),x!=-1, then show that f(f(x))=-1/x provided that x...

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  16. Let f be a real function defined by f(x)=sqrt(x-1.) Find (fofof)(x)dot...

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  17. Let f: R-> R be the function defined by f(x)=4x−3 for all x in R. Then...

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  18. Find whether f: R->R given by f(x)=x^3+2 for all x in R .

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  19. Find whether f: Z->Z given by f(x)=x^2+1 for all x in Z

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  20. Show that the function f: Z->Z defined by f(x)=x^2 for all x in Z , i...

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