MATH 131 Final: MATH131 BOYLE-M SPRING2016 ALL-SECTION FINALEXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 131
• Professor: All

Document Summary

Duf (1, 2) is the directional deriva- tive of f at (1, 2) in the direction of a unit vector u. Find the unit vector u which gives the largest value for duf (1, 2). 2. (12 points) let f (x, y) = ey(x2 + y). At each, determine whether f has a local maximum, local minimum or sad- dle point. 3. (a)(6 pts) playing a certain game, you win with probability . 3; win. with probability . 3; and lose with probability . 4. If you play the game many times, on average how much do you expect to win/lose per game? (b)(6 pts) suppose 50% of a population have a certain disease. What is the probability that at least one has the disease: (14 points) for the initial value problem (ivp) dy dt (y 4)2 t y(1) = 5 , Nd a formula for y as a function of t.