MATH 023 Study Guide - Midterm Guide: Talking Lifestyle 1278, Level Set, Saddle Point
Document Summary
There are 7 problems and 144 points total. The point value of each question is indicated. 9 cos( ) 16 x y at the point x y = Find the derivative of f x y direction (3, 5: (12 points. ) A large metal plate is being chilled unevenly. The loss of heat causes each point ( , x y to have temperature. Estimate the temperature at the point (0. 02, 0. 95: (12 points) let z. Use the chain rule to compute dz d : let z. 2 y x: (16 points) use the chain rule to compute u v. 2 z u b) (16 points) use the chain rule to compute z v c) (4 points) compute z u v. 2 y f x y: let, (8 points) find the critical points of f(x,y, (16 points) compute xyf x y and yxf x y and verify that f xy x y f yx x y.
