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)= 7xyz subject to constraint z=6y 2 2 2 f(x,y)= 7xy(6y) 7xy36y 2 2 7x37y 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