MAT 21B Final: MAT 021B - Final Exam - D.Romik

• School: UC-Davis
• Department: Mathematics
• Course: MAT 21B
• Professor: All

Document Summary

8. 5 integration of rational functions by partial fractions. Exponential change, newton"s law of cooling, integration by parts. >?5: how many bacteria will there be after 10 hours? (without using part a) If t is the temperature of a cooling object, and s is the surrounding temperature, then declines exponentially; so = Ex: a casserole with a temperature of 400 is taken out of the oven to cool in a room with a temperature of 75 . Integration by parts is the integration form of the product rule: Common types of integration by parts integrals : i(ln)i (n times, ijx, icos, isin (n times, itandh, isindh, jxcos, jxsin (integrate twice and then solve) Using tabular integration, and only for the 2nd type of problem. 0/0x / q0x + o00x + / o0x / Common types of integration by parts integrals: ((ln)- (n times, -/0 , - cos , - sin (n times, - tan:; , - sin:, /0 cos ,