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The interval to which b may belong so th...

The interval to which b may belong so that the functions.
`f(x)=(1-sqrt(21-4b-b^(2))/(b+1))x^(3)+5x+sqrt(16),`
increases for all x.

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
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  2. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  6. Solve , (x^2 - (x + 1)(x + 2))/(5x + 1) = 6

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  7. Prove that (7! - 5!)/(5!) = 41

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  8. If a function (continuos and twice differentiable) is always concave u...

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  11. Match the Statements of Column I with values of Column II.

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  12. Match the Statements of Column I with values of Column II.

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  14. If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1...

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  15. Let f(x) be a cubic polynomial defined by f(x)=x^(3)/(3)+(a-3)x^(2)+...

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