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Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,...

Solve `|sinx+cosx|=|sinx|+|cosx|,x in [0,2pi]`.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let [x] denotes the greatest integer less than or equal to x . If the ...

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  2. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

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  3. Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi].

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  4. Which of the following functions is not periodic? (a)|sin3x|+sin^2x ...

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  5. Find the number of solutions of sinx=x/(10)

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  6. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

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  7. Column I: Function, Column II: Period f(x)="cos"(|sinx|-|cosx|) , p...

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  8. Solve sinx gt - (1)/(2) or find the domain of f(x)=(1)/(sqrt(1+2sin x...

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  9. The domain of the function f(x)=x/(sqrt(sin(lnx)-cos(lnx))),(n in Z) ...

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  10. If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a g...

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  11. Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an in...

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  12. If f is a function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) fo...

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  13. A real valued function f(x) satisfies the functional equation f(x-y) ...

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  14. Find the domain of f(x)=1/(sqrt(x+|x|))

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  15. If f: R->R is a function satisfying the property f(2x+3)+f(2x+7)=2AAx ...

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  16. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

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  17. Find the domain of f(x)=1/(sqrt(x-|x|))

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  18. Domain of the function f(x)=1/sqrt(^10C(x-1) -3. ^10Cx contains the po...

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  19. If f(x) is an even function and satisfies the relation x^2dotf(x)-2f(1...

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  20. Solve ||x-1|-5|lt=2

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