12 marks

Question 11 (12 points) This question requires a full written solution. Using the Method of Lagrange Multipliers, find the values of x and y that minimize the value of f (x) = 3x + y subject to the constraint that 36x2 +y = 49. Note that in solving the resulting Lagrange equations, you are required to proceed by eliminating A first, as was done in all the examples in this course. Also, you may not use the gradient, vectors, or other methods of vector calculus not taught in this course. This question requires a complete written solution to be included in your single PDF file to upload to Gradescope at the end of the exam. Click on True when you have finished your answer and are ready to move on