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Suppose that f is an even, periodic func...

Suppose that `f` is an even, periodic function with period `2`, and `f(x)=x` for all `x` in the interval `[0,1]`. The values of `[10f(3. 14)]` is (where [.] represents the greatest integer function) ______

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Identify the following functions whether odd or even or neither even n...

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  2. Find the range of f(x)=sin^2x-sinx+1.

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  3. Suppose that f is an even, periodic function with period 2, and f(x)=x...

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  4. Find the period f(x)=sinx+{x}, where {x} is the fractional part of xdo...

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  5. Find the range of f(x)=1/(2cosx-1)

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  6. If f(x)=sinx+cosa x is a periodic function, show that a is a rational ...

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  7. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

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  8. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

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  9. Discuss whether the function f(x)="sin"(cosx+x) is period or not. If y...

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  10. f(x)=1/sqrt(x^(12)-x^(9)+x^(4)-x+1). Then domain of function f(x) is

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  11. Find the range of f(x)=|sinx|+|cosx|,x in Rdot

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  12. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

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  13. If f(x)=|x^2-5x+6|, then f'(x) equals

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  14. Find the range of f(theta)=5costheta+3cos(theta+pi/3)+3

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  15. If f: RtoS , defined by f(x)=sinx-sqrt(3)cosx+1,is onto , then find ...

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  16. Letf(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying...

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  17. Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^(2)).

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  18. Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but no...

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  19. If f(x) is a polynomial satisfying f(x)f(1//x)=f(x) +f(1//x) and f(3)...

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  20. Solve log("tan x")(2+4 cos^(2) x)=2.

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