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True or False statements: The function...

True or False statements:
The function `f(x) = 1/3 x^3 - x` is strictly decreasing on (-1,1)

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. True or False statements: A strict monotone function is always one-o...

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  2. True or False statements: A one-one function is always an increasing...

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  3. True or False statements: The function f(x) = 1/3 x^3 - x is strictl...

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  4. True or False statements: The function f(x) = x^(1/3) is a strict in...

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  5. True or False statements: If a function f is twice differentiable at...

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  6. True or False statements: For any function f a local maximum value i...

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  7. True or False statements: If a function f is such that f' (c ) = 0, ...

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  8. True or False statements: e^pi < pi ^e

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  9. The function f(x) = x^2, x inR has no maximum value.

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  10. True or False statements: Maximum value of the function f(x) = 3 sin...

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  11. True or False statements: Maximum value of the function f(x) = sin^4...

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  12. True or False statements: The angle between the tangents to the curv...

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  13. True or False statements: For x in (0, pi/2), sin x lt x lt tan x.

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  14. True or False statements: There is a unique real number x > 0 such t...

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  15. True or False statements : If and B are invertible matrices such tha...

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  16. Statement I :Among all the rectangles of the given perimeter, the squa...

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  17. True or False statements: Of all rectangles of a given area, square ...

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  18. Find x+y+z

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  19. Find the rate of change of the area of a circle per second with respec...

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  20. The volume of a cube is increasing at the rate of 9 cm^3//sec. The rat...

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