MAT136H1 Study Guide - Final Guide: Taylor Series

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: All

Document Summary

Final exam practice problems: evaluate the following integrals. (cid:19) + sin x dx (cid:90) (cid:18) 1 (cid:90) x 3 x cos x dx (a) (b) (cid:90) 4. 0 f (x) dx. (cid:90) 2 (cid:90) x2. 0: suppose that (1 + 2xf (x2)) dx = 3. Find (hint: consider a change of variable. : let g(x) = et2 dt. 2x: find the average value of the function f (x) = xe 2x on the interval, evaluate the following integrals. [0, 1/2]. (cid:90) (cid:112) (cid:90) (cid:90) (a) (b) (c) Page 2 of 4 (cid:45)2(cid:45)112x(cid:45)2(cid:45)112y(cid:45)2(cid:45)112x(cid:45)2(cid:45)112y(cid:45)2(cid:45)112x(cid:45)2(cid:45)112yfinal exam practice problems. Mat136h1f: suppose that the temperature t of a cup of co ee satis es newton"s. Two minutes later, the temperature of the co ee has dropped to 155 f. What is the temperature of the co ee four minutes after it was served: determine whether the following limits exist.