Math, asked by supritha1101, 4 months ago

verify Euler's theorem for 3 x square yz + 5 xy square z + 4 z power 4

Answers

Answered by Anonymous
11

Answer:

here is your answer mate

Step-by-step explanation:

f_x = 6xyz + 5y^2 z  

f_y = 3x^2 z + 10xyz  

f_z = 3x^2 y + 5xy^2 + 20z^3  

So, x * f_x + y * f_y + z * f_z  

= 12x^2 yz + 20xy^2 z + 20z^4  

= 4f.  

Since 4 is the total degree of each term of f, we have verified Euler's Theorem (for homogeneous functions).

Answered by Anonymous
4

Answer:

.........................:)

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