Question

I need major Help with this problem

Answer 1

are you still there

Answer 2

@.Sam. would you be able to help me

Answer 3

\[f \left( x \right)=x+\frac{ c }{ x }\]
\[f'\left( x \right)=1-\frac{ c }{ x ^{2} }\]
f(x) has a critical point if f'(x)=0
\[1-\frac{ c }{ x ^{2} }=0\]
\[x=pmc\]
Also f(x) has a relative minima at x=3
\[c=9\]
\[ f"(x)=\frac{ 2c }{ x ^{3} }\]
at x=3, f"(x)=2c/27 >0 (because f(x) has relative minimum at x=3)
c>0
c=9

Answer 4

ok I am following I got it so another words we were trying to find C for the the answer then correct?