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If f(x) = 3x^(2) + 15x+5, then the appro...

If `f(x) = 3x^(2) + 15x+5`, then the approximate value of `f(3.02)` is :

A

`f(x)` is increasing in `(-1, 3)`

B

`f(x)` is decreasing in `(3, infty)`

C

`f(x)` is increasing in `(-infty, -1)`

D

`f(x)` is decreasing in `(-infty, -1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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PUNEET DOGRA-APPLICATION OF DERIVATIVES-PREV YEAR QUESTIONS
  1. If f(x) = 3x^(2) + 15x+5, then the approximate value of f(3.02) is :

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  2. For x gt 0, what is the minimum value of x+(x+2)/(2x)?

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  3. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, W...

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  4. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, H...

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  5. Find the equation of tangent of the curve 6y=9-3x^(2) at point (1,1).

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  6. If x^(2)-6x-27gt0, then which one of the following is correct ?

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  7. In which one of the following intervals is lite function f(x) = x^(2) ...

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  8. In which one of the following intervals is lite function f(x) = x^(2) ...

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  9. What is the minimum value of a^(2)x + b^(2)y, if xy = c^(2)

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  10. If x^(2)+y^(2)=r^(2), then x is equal to

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  11. A solid cylinder has total surface area of 462 sq. cm. Its curved surf...

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  12. What is the minimum value off |x(x-1)+1|^(1//3), where 0 le x le 1?

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  13. A flower in the form of a sector has been fenced by a wire of 40 m len...

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  14. In the interval (-1, 1), the function f(x) = x^(2) - x + 4 is :

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  15. The function f(x) = sin x + cos x will be

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  16. If sin theta - cos theta = 0 then find the value of cot theta

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  17. What is the maximum value of 16 sin theta -12 sin^(2)theta ?

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  18. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

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  19. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

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  20. The length of the parallel sides of a trapezium are 51 cm and 21 cm , ...

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  21. Which one of the following is the second degree polynomial function f(...

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