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The number of nonzero integral values of...

The number of nonzero integral values of `a` for which the function `f(x)=x^4+a x^3+(3x^2)/2+1` is concave upward along the entire real line is___________

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Number of integral values of b for which the equation (x^3)/3-x=b has ...

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  2. Let f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1 Then the number of c...

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  3. The number of nonzero integral values of a for which the function f(x)...

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  4. Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...

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  5. Let f(x)={|x^2-3x|+a ,0lt=x<3/2 -2x+3,xgeq3/2 If f(x) has a local ma...

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  6. The largest term in the sequence an=(n^2)/(n^3+200) is given by (a)(...

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  7. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a ha...

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  8. Let f be a continuous, differentiable, and bijective function. If the ...

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  9. Let f(x)=xsqrt(4a x-x^2),(a >0)dot Then f(x) is (a). increasing in (0,...

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  10. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-p...

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  11. A function is matched below against an interval where it is supposed t...

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  12. On which of the following intervals is the function f given by f(x) = ...

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  13. Let g(x)=2f(x/2)+f(2-x)a n df^('')(x)&lt;0AAx in (0,2)dot Then g(x) ...

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  14. Let f: R->R be a differentiable function for all values of x and has...

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  15. Which of the following statement is always true? (a)If f(x) is incre...

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  16. The function f(x)=sum(k=1)^5 (x-K)^2 assumes then minimum value of x g...

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  17. The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (...

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  18. Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then a) f(x) is monotonically increasin...

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  19. If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) (a)increase in (...

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  20. Let x and y be two real variable such that x >0 and x y=1 . Find the m...

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