(Solved): Help??? Lesson28- 29 14.8 Lagrange multiplie Problem 8 (1 point) Find the minimum and maximum of \( ...

Lesson28- 29 14.8 Lagrange multiplie Problem 8 (1 point) Find the minimum and maximum of \( f(x, y, z)=x^{2}+y^{2}+z^{2} \) subject to two constraints, \( x+2 y+z=1 \) and \( x-y=8 \). \( f_{\min }= \) \( f_{\max }= \) Note: You can earn partial credit on this problem. You have attempted this problem 6 times. Your overall recorded score is \( 0 \% \). You have unlimited attempts remaining.