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If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t...

If `x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t)` then `x((dy)/(dx))^(3)-(dy)/(dx),` equals to

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. A nonzero polynomial with real coefficient has the property that f(x)=...

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  2. If 'f' is an increasing function from RtoR such that f^(prime)prime(x)...

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  3. If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) then x((dy)/(dx))^(3)-(dy)/(...

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  4. Let f(x)={2/(1+x^2),xi sr a t ion a l b ,xi sr a t ion a l has exactly...

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  5. If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] for x > a and ([cos((pix)/(2a...

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  6. Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):}. If f...

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  7. Statement 1: Minimum number of points of discontinuity of the functi...

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  8. Let f(x)=[tanx[cotx]], x in [(pi)/(12),(pi)/(2)), (where [.] denotes t...

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  9. Let f[-2,2]rarrR be a continuous function such that f(x)assumes only i...

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  10. If f(x)=prod(n=1)^(100)(x-n)^(n(101-n)); then (f(101))/(f'(101))=

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  11. A curve in the xy-plane is parametrically given by x=t+t^3a n dy=t^2,w...

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  12. Number of points of discontinuity of f(x)=[sin^(-1)x]-[x] in its domai...

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  13. If g(x)=(lim)(mtooo)(x^mf(x)+h(x)+3)/(2x^m+4x+1) when x!=1a n dg(1)=e^...

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  14. Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable...

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  15. If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c...

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  16. Let (f(x+y)-f(x))/2=(f(y)-a)/2+x y for all real xa n dydot If f(x) is ...

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  17. A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y ...

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  18. Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in ...

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  19. Let f(x)=(g(x))/x when x!=0 and f(0)=0. If g(0)=g^(prime)(0)=0and g...

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  20. Let f(x+y)=f(x)+f(y)+2x y-1 for all real xa n dy and f(x) be a differe...

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