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True or False statements: For x in (0,...

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

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. True or False statements: Maximum value of the function f(x) = sin^4...

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

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

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

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

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

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

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  8. Find x+y+z

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

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

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  11. A stone is dropped into a quiet lake and waves move in circles at a sp...

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  12. The length x of a rectangle is decreasing at the rate of 3 cm/sec and ...

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  13. The total revenue Rs. R received form the sale of x units of a product...

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  14. The sides of an equilateral triangle are increasing at the rate of 2 c...

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  15. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

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  16. On R, the function f(x) = 7x - 3 is

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  17. The function f (x) = 2-3 x is

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  18. y=x(x-3)^(2) decreases for the values of x given by :

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  19. The function tan x - x , - pi/2 < x < pi/2

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  20. The function f(x) = x^2, for all real x is

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