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Write true or false in the following wit...

Write true or false in the following with reason or by suitable example. Sum of two characteristic function is a characteristic function.

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Let R be a relation in the set of natural numbers N defined by xRy if ...

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  2. Write true or false in the following with reason or by suitable exampl...

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  3. Write true or false in the following with reason or by suitable exampl...

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  4. Compute the following remainder function. r3(185)

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  5. Compute the following remainder function. r6(-500)

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  6. Mark as true (T) or false (F). The function f:Rrightarrow[-1,1] define...

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  7. Mark as true (T) or false (F). The function f:RrightarrowR defined by ...

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  8. Mark as true (T) or false (F). The greatest integer function is not on...

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  9. Mark as true (T) or false (F). The identity function is an odd functio...

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  10. Mark as true (T) or false (F). Let f:RrightarrowR is defined by f(x)=x...

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  11. Mark as true (T) or false (F). Let absA=3,absB=5. Then the number of o...

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  12. Mark as true (T) or false (F). If absA=5,absB=2, then the number of on...

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  13. Let f(x)=x^2 and g(x)=sqrtx. Then find (gof)(4).

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  14. Find a linear function f which maps [-1,1] onto [0,2].

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  15. Find the range of the function f(x)=frac[1][2-sin3x]

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  16. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  17. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  18. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  19. Give an example of a function which is onto but not one-one.

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  20. Give an example of a function which is one-one but not onto.

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