Question

i have the answers of all the parts except for the last one, (f).

Let (a,p)+ be subjected to the constraint 4s-2y-1 (a) (3 points) Use the method of Lagrange multipliers to find the minimum and/or maximum value of / subjected to the constraint. You must solve the resulting system of equations by hand State whether the value you found is minimum or maxiroum and explain how you know (b) (1 point) Graph of the constraint function (Le., 4-2V-15) on the contour map of rz, v)-rザ (See the attached contour map.) 2 points) Locate vectors for both / and g at that point. Use different colors and label clearly which is which. Both gradient vectors f and Vg should be correctly scaled. (d) (2 points) Redo part (a) using constraint 4z-2V-16. the point you found in part (a) on the contour map in part (b). Add the gradient 1 point) What is the difference between the minimum (or maximum) values obtained in parts and (d)? (f) (2 point) What is the difference in part (e) related to? Interpret the result.

Answer 1

Date Page No. -4-X-.-2:/ -의도 2 2 4S +1-d ( 41

여n 2 25Y+6432 6 ST 2 64 (e) Disfereke befuoren minjnmun value of (ayndy pot 64 4s l -6 4