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

Let `f(x)=xsqrt(4a x-x^2),(a >0)dot` Then `f(x)` is (a). increasing in (0,3a) decreasing in (3a, 4a) (b). increasing in (a, 4a) decreasing in`(5a ,oo)` (c). increasing in `(0,4a)` (d). none of these

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let f be a continuous, differentiable, and bijective function. If the ...

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

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

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

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

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  7. Let g(x)=2f(x/2)+f(2-x)a n df^('')(x)<0AAx in (0,2)dot Then g(x) ...

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

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

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

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

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

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

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

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  15. A box, constructed from a rectangular metal sheet, is 21 cm by 16cm by...

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  17. The maximum area of the rectangle whose sides pass through the vertice...

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  18. The vertices of a triangle are (0,0), (x ,cosx), and (sin^3x ,0),w h ...

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  19. Assertion Let f:R→R,f(x)=x^3+x^2+3x+sinx f(x) is one-one. Reason f(x) ...

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  20. The base of prism is equilateral triangle. The distance from the centr...

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