MATH 205 Midterm: MATH 205 KSU Exam1(u17)

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

Please read the problems carefully and show all your work. (10 pts) 1. Evaluate the given function f at the speci ed points and simplify. a. ) f (x, y, z) = 3x. 4 ; (1, 4, 16), (1, 1, 2) b. ) f (2 + h, 1) when f (x, y) = 4x y2 (10 pts) 2. Find all rst-order partial derivatives of the given function. f (x, y) = exy+5x (10 pts) 3. Find all second-order partial derivatives of the given function. g(x, y) = ex. Find all the critical points of the given function and classify each as a relative maximum, relative minimum, or saddle point. page 2 of 5 pages f (x, y) = 2xy y2. Find a + b , and kb for the given constant k and the matrices a and b . For the matrices a and b , form the products ab and ba whenever they are de ned.