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Prove that f(x,y) =x^(3) - 2x^(2)y + 3xy...

Prove that `f(x,y) =x^(3) - 2x^(2)y + 3xy^(2) + y^(3)` is homogenous, what is the degree? Verify Euler's Theorem for f.

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Knowledge Check

  • f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous function of degree:

    A
    `-1`
    B
    0
    C
    3
    D
    2

  • If f(x,y) =x^(3) + y^(3) -3xy^(2) , then (del f)/(del x) at x=2, y=3 is

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    B
    15
    C
    `-9`
    D
    16

  • If f(x,y) = 2x^(2) - 3xy + 5y^(2) +7 , then f(0,0) and f(1,1) is

    A
    7,11
    B
    11,7
    C
    0,7
    D
    1,0

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