Comsider this, multivariable fucntion f(x,y)=3xy−x2+5y2−25 a)What is the value of f(-1,3)? b)Find all x-values such...

Harlen Pritchard

Harlen Pritchard

Answered

2020-11-27

Comsider this, multivariable fucntion
f(x,y)=3xyx2+5y225
a)What is the value of f(-1,3)?
b)Find all x-values such that f(x,x)=0

Answer & Explanation

Yusuf Keller

Yusuf Keller

Expert

2020-11-28Added 90 answers

a) Here f(x,y)=3xyx2+5y225 (1)
put x=-1, y=3 in (1), we get
f(1,3)=3(1)3(1)2+5(3)225
=-9-1+15-25
=-10+15-25
=-10-10
=-20
Hence f(-1,3)=-20
b) Now f(x,y)=3xyx2+5y225=0
3x2x2+5x225=0
7x2=25
x2=257
x=±257
x=±57
Hence x=57,57

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