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Let y=f(x) be a real valued function sat...

Let y=f(x) be a real valued function satistying `xdy/dx = x^2 + y-2`, f(1)=1 then f(3) equal

A

`f (x)` is minimum at `x =1`

B

`f (x)` is maximum at `x=1`

C

`f (3)=5`

D

`f(2)=3`

Text Solution

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The correct Answer is:
A, C
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Knowledge Check

  • Let y=f (x) be a real valued function satisfying x (dy)/(dx) =x ^(2) +y-2, f (1)=1, then :

    A
    `f (x)` is minimum at `x =1`
    B
    `f (x)` is maximum at `x=1`
    C
    `f (3)=5`
    D
    `f(2)=3`

  • Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1_ =a. Then , f (x) =

    A
    `a ^(x)`
    B
    `ax`
    C
    `x ^(a)`
    D
    `log x`

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    A
    `2^(n+1)-2`
    B
    `2^(n+1)-1`
    C
    `2^(n)-1)`
    D
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