Solved: Exer. 3546: Sketch the graph of f

MAT 211­ Lecture 7­ 15.4: Constrained Extrema ­Homework Problems 1,2,& 3 use the substitution method and proceed the same way as 15.3 1.) f(x,y,z)= 7­x­y​­z​ subject to constraint z=6y 2​ 2​ 2 f(x,y)= 7­x­y­(6y)​ 7­x​­y​­36y​ 2​ 2 7­x​­37y​ Now use the method that you learned in 15.3 (Second­Derivative Test) Lagrange Multiplier Method ­Homework Problems #4 & 5 are similar Homework #5: f(x,y)= xy subject to constraint 3x+y= 60 1.) Write the constraint in the form of 3x+y­60= 0 OR g(x,y)= 3x+6y­60 2.) Define the Lagrangian Function: L (x,y,λ )= f(x,y)­ λg(x,y) λ= Greek Letter Lambda L (x,y,λ)= f(x