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Asked: 2021-03-03T01:17:00+05:30 In:

GATE MT 2021 Q2. Which one of the following is a homogeneous function of degree three?

Poll Results

0%(A) π‘₯3 + 2π‘₯2𝑦2
100%(B) 𝑦2π‘₯ + 2𝑦π‘₯2 ( 5 voters )
0%(C) 𝑦3 + 2π‘₯2
0%(D) π‘₯𝑦2 + 3π‘₯𝑦
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    1 Answer

    1. Copper Student

      Answer:- Option BΒ  How do you know if a function is homogeneous? Β  WhenΒ we can take aΒ function: f(x, y) multiply each variable by z: f(zx, zy) and then can rearrange it to get this: znΒ f(x, y) then, f(x, y) is the homogeneous function of degree n SOLUTION:- Β  Β  Β  Β 

      Answer:- Option BΒ 

      How do you know if a function is homogeneous?

      Β 

      1. WhenΒ we can take aΒ function: f(x, y)
      2. multiply each variable by z: f(zx, zy)
      3. and then can rearrange it to get this: znΒ f(x, y)

      then, f(x, y) is the homogeneous function of degree n

      SOLUTION:-

      Β 

      Β 

      Β 

      Β 

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