MATH 221 Midterm: MATH 221 KSU Test 1s01

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

Calculus ii exam 1 spring 2001. 1. (16pts) di erentiate the following functions: f (x) = x ln x, g(t) = e2 ln t (16pts) integrate, z 1 e3t dt , z 2. 1: (28pts) let f (x) = 10x1/2 ln. , for x > 0: (4pts) find the following limits: f (x) = lim x 0+ f (x) = lim x + , (6pts) f (x) = 0 has one solution. Find it: (6pts) f (x) = 0 has one solution. 2: (12pts) evaluate f (x) at the critical point and at the in ection point, evaluate f (x) at 0 (limit) and at the in ection point, and nd where f crosses the x-axis. Then graph y = f (x), labeling all the relevant features. Use the following approximate values: e 1 = . 36, e 2 = . 13, 2 = 1. 4, 1/ 2 = . 7.