please do #167 thank you

1. [-/3 Points] DETAILS SCALCET8 14.7.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f ( x, y) = x2 + xy + 12 + 7y 7 14 local maximum value(s) 3 3 63 local minimum value(s) 9 saddle point(s) ( x, y, f ) = Need Help? Read It Watch It 71%' ween Help? 6. [011 Points] PREVIOUS ANSWERS SCALCETS 14.7.045.MI4 MY NOTES 1 | ASK YOUR TEACHER l I Find three positive numbers whose sum is 250 and whose product is a maximum. (Enter your answers as a commaiseparated list.) x Need Help? i i i Submit Answer 7. [-11 Points] DETAILS SCALCETS 14.7.048. MY NOTES l | ASK YOUR TEACHER l l Find the dimensiuns of the box with vulume 2744 cm3 that has minimal surface area. (Let x, y, and 2 be the dimensions of the box.) (x. y. z) : ( ) Need Help? B. [111 Points] PREVIOUS ANSWERS SCALCET8 14.7.1149. MY NOTES l | ASK YOUR TEACHER l | PRACTICE ANOTHER Find the vulume of the largest rectangular box in the first uctant with three faces in the coordinate planes and one vertex in the plane x + 2y + 32 : 12. v Neeunenp