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Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3...

`Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3`

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To solve the inequality \(\frac{8x^2 + 16x - 51}{2x^2 + 5x - 12} > 3\), we will follow these steps: ### Step 1: Rearranging the Inequality Start by rearranging the inequality: \[ \frac{8x^2 + 16x - 51}{2x^2 + 5x - 12} - 3 > 0 \] This can be rewritten as: ...
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RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Find the intervals in which f(x)=-x^2-2x+15 is increasing or decreasin...

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  2. Sol v e :(x^2-4x+7)/(x^2-7x+12)lt=2/3dot

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  3. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

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  4. Determine the values of x for which f(x)=x^x , x >0 is increasing or d...

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  5. Show that f(x) = 2x + cot^-1 x + log(sqrt(1+x^2)-x) is increasing in R

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  6. Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasin...

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  7. Find the intervals in which f(x)=x/(logx) is increasing or decreasing.

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  8. Show that f(x)=cos(2x+pi/4) is an increasing function on (3pi//8,7pi/...

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  9. Show that for a >=1,f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on Rdot

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  10. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

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  11. If a , b , c are real numbers, then find the intervals in which f(x)=|...

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  12. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is increasing or decre...

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  13. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasin...

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  14. Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 ...

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  15. Find the intervals for which f(x)=x^4-2x^2 increasing or decreasing.

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  16. Determine the values of x for which f(x)=(x-2)/(x+1)x!=-1 is increasin...

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  17. Find the intervals in which f(x)=x/2+2/x , x!=0 is increasing or decre...

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  18. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

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  19. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasi...

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  20. Separate the interval [0,pi/2] into sub intervals in which function f(...

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