ENG1005 MUM S2 2025 Applied class quiz week 6 (Total mark for all 12 weeks of applied quizzes is 5%)

Question text Find the maximum value of \(f(x,y,z)={-x+y+z}\) on the ellipse \({2\,x^2+y^2+2\,z^2}=1\). Maximum value is [input] Your last answer was interpreted as follows: \[ \sqrt{2} \]