Parker Glynn-Adey

MAT B41 — Week 9

Posted in 2018 -- MAT B41, Lecture Notes by pgadey on 2018/07/10

Homework 4 (tex) is now available.

Additional resources:

Suggested Exercises:

  • 3.4 Constrained Extrema and Lagrange Multipliers: 1a, 3, 4, 5, 13, 14, 15, 19, 20, 28

Past Finals:

  • Final 2016: Find the minimum value of f(x,y) = 4x^2y - x^3y - x^2y^2 on the closed triangular region in \mathbb{R}^2 with vertices (0,0), (6,0), and (0,6).
  • Final 2015: Find the maximum values of f(x,y,z) = x^2 - 4x + y^2 - 2y + z^2 - 4z - 1 on the solid ball x^2 + y^2 + z^2 \leq 9.
  • Final 2015: Find the points on the intersection of the paraboloid z=x^2+y^2 and the plane x+y+z=1 that are closest and farthest from the origin.

Notes:

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